Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.5s (49.3%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 38 to 30 computations (21.1% saved)

preprocess34.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1040×	`fma-neg_binary64`
807×	`times-frac_binary64`
392×	`div-sub_binary64`
208×	`fma-def_binary64`
181×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	82	19
4	130	19
5	207	19
6	376	19
7	623	19
8	1608	19
9	3012	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify30.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1040×	`fma-neg_binary64`
807×	`times-frac_binary64`
392×	`div-sub_binary64`
208×	`fma-def_binary64`
181×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	82	19
4	130	19
5	207	19
6	376	19
7	623	19
8	1608	19
9	3012	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
✓	0.3b	(*.f64 x 4481/100000)
✓	0.4b	(*.f64 x 27061/100000)
✓	15.4b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
1.0ms	x	@	inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms	x	@	0	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms	x	@	inf	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
1.0ms	x	@	-inf	(*.f64 x 27061/100000)

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`prod-diff_binary64`
155×	`add-sqr-sqrt_binary64`
146×	`add-cbrt-cube_binary64`
146×	`add-exp-log_binary64`
146×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	312	32
2	4071	32

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))) (+.f64 1 (-.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2) (.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 27061/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x 4481/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 99229/100000 x) (.f64 (.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 4481/100000) x) (.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 99229/100000) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 977047873985989/1000000000000000 (.f64 89975616641/1000000000000000 (pow.f64 x 3))) x) (-.f64 (+.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) (.f64 444645149/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 977047873985989/1000000000000000 (.f64 89975616641/1000000000000000 (pow.f64 x 3)))) (-.f64 (+.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) (.f64 444645149/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2))) (+.f64 99229/100000 (.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))))

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
740×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
275×	`fma-def_binary64`
185×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	400
1	121	396
2	293	383
3	825	357
4	2722	357

Stop Event

1×	node limit

Counts

130 → 106

Calls

Call 1

Inputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))

Outputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(fma.f64 x -20191289437/10000000000 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (.f64 x x))) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) 230753/100000) (fma.f64 20191289437/10000000000 x (.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x (.f64 x 1900161040244073/1000000000000000) 230753/100000) (fma.f64 x -20191289437/10000000000 (.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)))
(fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 (.f64 x x) 4481/100000))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

prune116.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	4	107

Error

0.0b

Counts

107 → 4

Alt Table

Status	Error	Program
	31.8b	(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
	0.3b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
▶	0.0b	(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 2192 to 1703 computations (22.3% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))
✓	8.9b	(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓	12.7b	(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))
✓	15.8b	(cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series11.0ms (0.4%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))
1.0ms	x	@	inf	(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))
1.0ms	x	@	inf	(cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	-inf	(cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))

rewrite82.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
165×	`add-sqr-sqrt_binary64`
156×	`add-cbrt-cube_binary64`
155×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	355	58
2	4096	58

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))

Outputs
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(fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 3) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 1/3 (.f64 2 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (.f64 1/3 (.f64 2 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))) 1))))))

simplify31.0ms (1%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-l_binary64`
403×	`cancel-sign-sub-inv_binary64`
336×	`fma-neg_binary64`
313×	`associate-r_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	328
1	198	312
2	552	292
3	1796	280

Stop Event

1×	node limit

Counts

152 → 161

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 99229/300000 x))
(-.f64 (+.f64 1 (.f64 99229/300000 x)) (.f64 8502094441/90000000000 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 99229/300000 x) (.f64 816975620345989/16200000000000000 (pow.f64 x 3)))) (*.f64 8502094441/90000000000 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 99229/150000 x))
(-.f64 (+.f64 1 (.f64 99229/150000 x)) (.f64 7157794441/90000000000 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 99229/150000 x) (.f64 776957556935989/20250000000000000 (pow.f64 x 3)))) (*.f64 7157794441/90000000000 (pow.f64 x 2)))
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 (*.f64 99229/150000 x))
(-.f64 (+.f64 1 (.f64 9308674441/18000000000 (pow.f64 x 2))) (.f64 99229/150000 x))
(-.f64 (+.f64 1 (.f64 9308674441/18000000000 (pow.f64 x 2))) (+.f64 (.f64 99229/150000 x) (*.f64 877002715460989/2025000000000000 (pow.f64 x 3))))

Outputs
1
(+.f64 1 (*.f64 99229/300000 x))
(fma.f64 99229/300000 x 1)
(-.f64 (+.f64 1 (.f64 99229/300000 x)) (.f64 8502094441/90000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (.f64 99229/300000 x) (.f64 8502094441/90000000000 (*.f64 x x))))
(-.f64 (fma.f64 99229/300000 x 1) (.f64 (.f64 8502094441/90000000000 x) x))
(fma.f64 (*.f64 x x) -8502094441/90000000000 (fma.f64 99229/300000 x 1))
(-.f64 (+.f64 1 (+.f64 (.f64 99229/300000 x) (.f64 816975620345989/16200000000000000 (pow.f64 x 3)))) (*.f64 8502094441/90000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 99229/300000 x (.f64 816975620345989/16200000000000000 (pow.f64 x 3))) (.f64 8502094441/90000000000 (*.f64 x x))))
(+.f64 1 (-.f64 (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) (.f64 99229/300000 x)) (.f64 (*.f64 8502094441/90000000000 x) x)))
(fma.f64 (*.f64 x x) -8502094441/90000000000 (fma.f64 99229/300000 x (fma.f64 816975620345989/16200000000000000 (pow.f64 x 3) 1)))
(+.f64 1 (.f64 x (+.f64 (.f64 x (fma.f64 x 816975620345989/16200000000000000 -8502094441/90000000000)) 99229/300000)))
1
(+.f64 1 (*.f64 99229/150000 x))
(+.f64 1 (*.f64 x 99229/150000))
(fma.f64 x 99229/150000 1)
(-.f64 (+.f64 1 (.f64 99229/150000 x)) (.f64 7157794441/90000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (.f64 x 99229/150000) (.f64 (*.f64 x x) 7157794441/90000000000)))
(+.f64 1 (fma.f64 x 99229/150000 (.f64 (.f64 x x) -7157794441/90000000000)))
(fma.f64 (*.f64 x x) -7157794441/90000000000 (fma.f64 x 99229/150000 1))
(-.f64 (+.f64 1 (+.f64 (.f64 99229/150000 x) (.f64 776957556935989/20250000000000000 (pow.f64 x 3)))) (*.f64 7157794441/90000000000 (pow.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 99229/150000 x (.f64 (pow.f64 x 3) 776957556935989/20250000000000000)) (.f64 (*.f64 x x) 7157794441/90000000000)))
(+.f64 (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 (.f64 x 99229/150000)) (+.f64 1 (.f64 (*.f64 x x) -7157794441/90000000000)))
(fma.f64 (*.f64 x x) -7157794441/90000000000 (fma.f64 x 99229/150000 (fma.f64 (pow.f64 x 3) 776957556935989/20250000000000000 1)))
(+.f64 1 (.f64 x (+.f64 99229/150000 (.f64 x (fma.f64 x 776957556935989/20250000000000000 -7157794441/90000000000)))))
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (.f64 (.f64 x x) 1900161040244073/1000000000000000) (*.f64 x 20191289437/10000000000)))
(+.f64 230753/100000 (fma.f64 (.f64 x x) 1900161040244073/1000000000000000 (.f64 x -20191289437/10000000000)))
(fma.f64 x -20191289437/10000000000 (fma.f64 (*.f64 x x) 1900161040244073/1000000000000000 230753/100000))
(+.f64 230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 230753/100000 (.f64 (.f64 x x) 1900161040244073/1000000000000000)) (fma.f64 20191289437/10000000000 x (*.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000)))
(-.f64 (fma.f64 (.f64 x x) 1900161040244073/1000000000000000 230753/100000) (fma.f64 (pow.f64 x 3) 179503363065659419717/100000000000000000000 (.f64 x 20191289437/10000000000)))
(+.f64 (fma.f64 x -20191289437/10000000000 (fma.f64 (.f64 x x) 1900161040244073/1000000000000000 230753/100000)) (.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000))
(+.f64 230753/100000 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (*.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
1
(-.f64 1 (*.f64 99229/150000 x))
(+.f64 1 (*.f64 -99229/150000 x))
(-.f64 1 (*.f64 x 99229/150000))
(fma.f64 x -99229/150000 1)
(-.f64 (+.f64 1 (.f64 9308674441/18000000000 (pow.f64 x 2))) (.f64 99229/150000 x))
(+.f64 1 (-.f64 (.f64 (.f64 x x) 9308674441/18000000000) (*.f64 x 99229/150000)))
(+.f64 1 (fma.f64 (.f64 x x) 9308674441/18000000000 (.f64 x -99229/150000)))
(fma.f64 x -99229/150000 (fma.f64 (*.f64 x x) 9308674441/18000000000 1))
(+.f64 1 (*.f64 x (fma.f64 x 9308674441/18000000000 -99229/150000)))
(-.f64 (+.f64 1 (.f64 9308674441/18000000000 (pow.f64 x 2))) (+.f64 (.f64 99229/150000 x) (*.f64 877002715460989/2025000000000000 (pow.f64 x 3))))
(+.f64 1 (-.f64 (.f64 (.f64 x x) 9308674441/18000000000) (fma.f64 99229/150000 x (*.f64 (pow.f64 x 3) 877002715460989/2025000000000000))))
(-.f64 (fma.f64 (.f64 x x) 9308674441/18000000000 1) (fma.f64 (pow.f64 x 3) 877002715460989/2025000000000000 (.f64 x 99229/150000)))
(fma.f64 x (fma.f64 x 9308674441/18000000000 -99229/150000) (neg.f64 (fma.f64 (pow.f64 x 3) 877002715460989/2025000000000000 -1)))

prune210.0ms (7.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Error

0.0b

Counts

165 → 4

Alt Table

Status	Error	Program
	31.8b	(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
▶	0.3b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓	0.0b	(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 4690 to 3708 computations (20.9% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	15.4b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 x 27061/100000 230753/100000)
0.0ms	x	@	0	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	0	(fma.f64 x 4481/100000 99229/100000)
0.0ms	x	@	0	(fma.f64 x 27061/100000 230753/100000)
0.0ms	x	@	inf	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

rewrite72.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`unpow-prod-down_binary64`
418×	`log-prod_binary64`
268×	`pow2_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	225	35
2	2504	35

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 27061/100000 230753/100000)
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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230753/100000)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 27061/100000 230753/100000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) 1) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) 1) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 3) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1) (+.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2) (-.f64 1 (.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))))

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
739×	`cancel-sign-sub-inv_binary64`
417×	`times-frac_binary64`
305×	`fma-def_binary64`
185×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	459
1	131	417
2	314	389
3	855	369
4	2767	369

Stop Event

1×	node limit

Counts

213 → 197

Calls

Call 1

Inputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
99229/100000
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
1
(+.f64 1 (*.f64 99229/100000 x))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))

Outputs
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (-.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(fma.f64 x -20191289437/10000000000 (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (+.f64 (.f64 20191289437/10000000000 x) (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (.f64 x x))) (fma.f64 20191289437/10000000000 x (*.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(-.f64 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) 230753/100000) (fma.f64 20191289437/10000000000 x (.f64 179503363065659419717/100000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 x (.f64 x 1900161040244073/1000000000000000) 230753/100000) (fma.f64 x -20191289437/10000000000 (.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000)))
(fma.f64 (pow.f64 x 3) -179503363065659419717/100000000000000000000 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4))) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (-.f64 (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
99229/100000
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 x 4481/100000))
(fma.f64 x 4481/100000 99229/100000)
1
(+.f64 1 (*.f64 99229/100000 x))
(+.f64 1 (*.f64 x 99229/100000))
(fma.f64 x 99229/100000 1)
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x))
(fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
(+.f64 1 (+.f64 (.f64 4481/100000 (pow.f64 x 2)) (.f64 99229/100000 x)))
(+.f64 1 (fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000)))
(+.f64 1 (fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000))))
(+.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000)))
(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

prune251.0ms (8.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	197	4	201

Error

0.0b

Counts

201 → 4

Alt Table

Status	Error	Program
▶	31.8b	(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
✓	0.3b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓	0.0b	(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 4669 to 3719 computations (20.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))

✓

0.1b

(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)

✓

0.1b

(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
0.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
0.0ms	x	@	0	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
0.0ms	x	@	-inf	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

rewrite69.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`add-exp-log_binary64`
85×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	176	26
2	2178	26

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)

(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -20191289437/10000000000 (*.f64 x 1900161040244073/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) 1) -20191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2) (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1900161040244073/1000000000000000) 3) -8231749822918346830573921576453/1000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) (*.f64 x 1900161040244073/1000000000000000)) (-.f64 407688169128707776969/100000000000000000000 (*.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) (*.f64 x 1900161040244073/1000000000000000)) 407688169128707776969/100000000000000000000) (-.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 1) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 3) 12286892763167777/1000000000000000) (+.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))) 53246947009/10000000000) (-.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (fma.f64 (neg.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 1 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) (pow.f64 (cbrt.f64 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230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) 2) (cbrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))) (sqrt.f64 (-.f64 x (fma.f64 x (fma.f64 x 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(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3)) 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simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-l_binary64`
308×	`fma-def_binary64`
305×	`distribute-rgt-neg-in_binary64`
301×	`unswap-sqr_binary64`
227×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	328
1	60	308
2	119	268
3	283	234
4	811	234
5	2579	234
6	4129	234

Stop Event

1×	node limit

Counts

119 → 105

Calls

Call 1

Inputs
-20191289437/10000000000
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(-.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(-.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))
(-.f64 (.f64 30191289437/10000000000 x) (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))
(-.f64 (.f64 30191289437/10000000000 x) (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))

Outputs
-20191289437/10000000000
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
230753/100000
(-.f64 230753/100000 (*.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(-.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 20191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(-.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 20191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000))
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(-.f64 (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))) (.f64 20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 1900161040244073/1000000000000000 (.f64 x x)) (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -20191289437/10000000000)))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)
(*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) -1900161040244073/1000000000000000)
(.f64 x (.f64 x -1900161040244073/1000000000000000))
(-.f64 (.f64 30191289437/10000000000 x) (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)))
(-.f64 (.f64 x 30191289437/10000000000) (.f64 1900161040244073/1000000000000000 (*.f64 x x)))
(fma.f64 x 30191289437/10000000000 (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(.f64 x (+.f64 (.f64 x -1900161040244073/1000000000000000) 30191289437/10000000000))
(*.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)
(*.f64 -1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 (.f64 x x) -1900161040244073/1000000000000000)
(.f64 x (.f64 x -1900161040244073/1000000000000000))
(-.f64 (.f64 30191289437/10000000000 x) (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)))
(-.f64 (.f64 x 30191289437/10000000000) (.f64 1900161040244073/1000000000000000 (*.f64 x x)))
(fma.f64 x 30191289437/10000000000 (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(.f64 x (+.f64 (.f64 x -1900161040244073/1000000000000000) 30191289437/10000000000))
(*.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000))
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)
(-.f64 (.f64 30191289437/10000000000 x) (+.f64 230753/100000 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2))))
(-.f64 (fma.f64 30191289437/10000000000 x -230753/100000) (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(+.f64 (fma.f64 x 30191289437/10000000000 -230753/100000) (.f64 x (.f64 x -1900161040244073/1000000000000000)))
(fma.f64 x 30191289437/10000000000 (fma.f64 x (*.f64 x -1900161040244073/1000000000000000) -230753/100000))
(fma.f64 x (fma.f64 x -1900161040244073/1000000000000000 30191289437/10000000000) -230753/100000)

prune71.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Error

0.0b

Counts

109 → 4

Alt Table

Status	Error	Program
✓	31.8b	(-.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
✓	0.3b	(-.f64 x (expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓	0.0b	(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Compiler

Compiled 1617 to 1182 computations (26.9% saved)

regimes162.0ms (5.5%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Counts

99 → 1

Compiler

Compiled 1739 to 1332 computations (23.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	26	40
2	39	40
3	47	40
4	53	40
5	56	40
6	57	40

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Outputs

(-.f64 x (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

(+.f64 x (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)))))

end99.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 132 to 103 computations (22% saved)

Details

analyze8.0ms (0.3%)

sample1.5s (49.3%)

preprocess34.0ms (1.2%)

simplify30.0ms (1%)

prune5.0ms (0.2%)

localize10.0ms (0.3%)

series7.0ms (0.2%)

rewrite66.0ms (2.2%)

simplify39.0ms (1.3%)

prune116.0ms (3.9%)

localize14.0ms (0.5%)

series11.0ms (0.4%)

rewrite82.0ms (2.8%)

simplify31.0ms (1%)

prune210.0ms (7.1%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite72.0ms (2.4%)

simplify37.0ms (1.3%)

prune251.0ms (8.5%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite69.0ms (2.3%)

simplify43.0ms (1.5%)

prune71.0ms (2.4%)

regimes162.0ms (5.5%)

simplify3.0ms (0.1%)

end99.0ms (3.4%)

Profiling