Details

analyze146.0ms (9.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	35.9%	4.8%	8
67.1%	25.8%	7.1%	9
72.6%	19.1%	8.3%	10
76.9%	13.5%	9.7%	11
79.8%	9.9%	10.3%	12
82%	6.9%	11.1%	13
83.6%	5%	11.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample846.0ms (56.9%)

Results

783.0ms	8116×	body	128	valid
28.0ms	78×	body	1024	valid
10.0ms	49×	body	512	valid
9.0ms	98×	body	128	invalid
2.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

preprocess18.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

48×	`fma-def_binary64`
15×	`*-commutative_binary64`
14×	`+-commutative_binary64`
10×	`associate-+r+_binary64`
10×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	36	20
2	88	14
3	139	14
4	149	14
5	151	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
(+.f64 (+.f64 (.f64 d2 10) (.f64 d2 d1)) (*.f64 d2 20))

Outputs
(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
(+.f64 (.f64 d1 (+.f64 10 d2)) (.f64 d1 20))
(*.f64 d1 (+.f64 (+.f64 10 d2) 20))
(*.f64 d1 (+.f64 d2 30))
(+.f64 (+.f64 (.f64 d2 10) (.f64 d2 d1)) (*.f64 d2 20))
(+.f64 (.f64 d2 (+.f64 10 d1)) (.f64 d2 20))
(*.f64 d2 (+.f64 (+.f64 d1 10) 20))
(*.f64 d2 (+.f64 d1 30))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	46	7
3	73	7
4	78	7
5	79	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))

Outputs
(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
(+.f64 (.f64 d1 (+.f64 10 d2)) (.f64 d1 20))
(*.f64 d1 (+.f64 (+.f64 10 d2) 20))
(*.f64 d1 (+.f64 d2 30))

prune4.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series3.0ms (0.2%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	d1	@	0	(*.f64 d1 (+.f64 d2 30))
1.0ms	d2	@	-inf	(*.f64 d1 (+.f64 d2 30))
1.0ms	d1	@	-inf	(*.f64 d1 (+.f64 d2 30))
1.0ms	d2	@	inf	(*.f64 d1 (+.f64 d2 30))
0.0ms	d1	@	inf	(*.f64 d1 (+.f64 d2 30))

rewrite37.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1820	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 d1 (+.f64 d2 30))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d1 d2) (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d1 30) (.f64 d1 d2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 d1 d2) 1) (.f64 (.f64 d1 30) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 d1 (+.f64 d2 30)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 d1 d2) 3) (pow.f64 (.f64 d1 30) 3)) (+.f64 (.f64 (.f64 d1 d2) (.f64 d1 d2)) (-.f64 (.f64 (.f64 d1 30) (.f64 d1 30)) (.f64 (.f64 d1 d2) (.f64 d1 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 d1 d2) (.f64 d1 d2)) (.f64 (.f64 d1 30) (.f64 d1 30))) (-.f64 (.f64 d1 d2) (.f64 d1 30)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 d2 d2 -900) d1) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 d1 (+.f64 27000 (pow.f64 d2 3))) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 d1 3) (pow.f64 (+.f64 d2 30) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 d2 30) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d1 d2 (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d2 d1 (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 d1 (+.f64 d2 30))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d1 d2) (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d1 30) (*.f64 d1 d2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d1 d2) 1) (*.f64 (*.f64 d1 30) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d1 (+.f64 d2 30)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d1 d2) 3) (pow.f64 (*.f64 d1 30) 3)) (+.f64 (*.f64 (*.f64 d1 d2) (*.f64 d1 d2)) (-.f64 (*.f64 (*.f64 d1 30) (*.f64 d1 30)) (*.f64 (*.f64 d1 d2) (*.f64 d1 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d1 d2) (*.f64 d1 d2)) (*.f64 (*.f64 d1 30) (*.f64 d1 30))) (-.f64 (*.f64 d1 d2) (*.f64 d1 30)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 d2 d2 -900) d1) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d1 (+.f64 27000 (pow.f64 d2 3))) (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d1 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 30))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d1 3) (pow.f64 (+.f64 d2 30) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 d2 30) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d1 d2 (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d2 d1 (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d1 (+.f64 d2 30))))))))

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	131
1	17	131
2	20	131

Stop Event

1×

saturated

Counts

45 → 31

Calls

Call 1

Inputs
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 30 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d2 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d2 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))

Outputs
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 30 d1)
(*.f64 d1 30)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d2 d1)
(*.f64 d1 d2)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d2 d1)
(*.f64 d1 d2)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))

prune19.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Error

Counts

33 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
	33.7b	(pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 30))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
	19.0b	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))

Compiler

Compiled 370 to 245 computations (33.8% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)

series16.0ms (1.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	d2	@	0	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
3.0ms	d1	@	-inf	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
1.0ms	d1	@	0	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
1.0ms	d2	@	-inf	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
1.0ms	d1	@	-inf	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))

rewrite44.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`add-log-exp_binary64`
86×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	204	16
2	2320	16

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d1 d2) (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d1 30) (.f64 d1 d2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 d1 d2) 1) (.f64 (.f64 d1 30) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 d1 (+.f64 d2 30)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 d1 (+.f64 d2 30))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 d2 30) d1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 d1 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 d1 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 (cbrt.f64 (+.f64 d2 30)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 d1) (.f64 (cbrt.f64 (+.f64 d2 30)) (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 d1) 2) (.f64 (cbrt.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 d2 30)) (.f64 (sqrt.f64 (+.f64 d2 30)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) (.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 2) 3) (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) 3) (pow.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 d1 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2)) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 d2 30) (pow.f64 (cbrt.f64 d1) 2)) (cbrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 d2 30) (sqrt.f64 d1)) (sqrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) 1) (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) (cbrt.f64 d1)) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6)) (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 d1 d2) 3) (pow.f64 (.f64 d1 30) 3)) (+.f64 (.f64 (.f64 d1 d2) (.f64 d1 d2)) (-.f64 (.f64 (.f64 d1 30) (.f64 d1 30)) (.f64 (.f64 d1 d2) (.f64 d1 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 d1 d2) (.f64 d1 d2)) (.f64 (.f64 d1 30) (.f64 d1 30))) (-.f64 (.f64 d1 d2) (.f64 d1 30)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 d2 d2 -900) d1) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 d1 (+.f64 27000 (pow.f64 d2 3))) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 d1 (fma.f64 d2 d2 -900)) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 d1 3) (pow.f64 (+.f64 d2 30) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 d2 30) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d1 d2 (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d2 d1 (.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 d1 (+.f64 d2 30))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d1 (+.f64 d2 30))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 d1) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 2) (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) 1/3) (pow.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 d1 (+.f64 d2 30)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 d1 (+.f64 d2 30)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 d1 (+.f64 d2 30))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d1 d2) (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d1 30) (*.f64 d1 d2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d1 d2) 1) (*.f64 (*.f64 d1 30) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d1 (+.f64 d2 30)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d1 (+.f64 d2 30))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d2 30) d1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d1 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 d1 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (*.f64 (cbrt.f64 (+.f64 d2 30)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d1) (*.f64 (cbrt.f64 (+.f64 d2 30)) (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d1) 2) (*.f64 (cbrt.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d2 30)) (*.f64 (sqrt.f64 (+.f64 d2 30)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d1) (*.f64 (sqrt.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) (*.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 2) 3) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d1 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2)) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 d2 30) (pow.f64 (cbrt.f64 d1) 2)) (cbrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 d2 30) (sqrt.f64 d1)) (sqrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) 1) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) (cbrt.f64 d1)) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6)) (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d1 d2) 3) (pow.f64 (*.f64 d1 30) 3)) (+.f64 (*.f64 (*.f64 d1 d2) (*.f64 d1 d2)) (-.f64 (*.f64 (*.f64 d1 30) (*.f64 d1 30)) (*.f64 (*.f64 d1 d2) (*.f64 d1 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d1 d2) (*.f64 d1 d2)) (*.f64 (*.f64 d1 30) (*.f64 d1 30))) (-.f64 (*.f64 d1 d2) (*.f64 d1 30)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 d2 d2 -900) d1) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d1 (+.f64 27000 (pow.f64 d2 3))) (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d1) (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d1 3) (pow.f64 (+.f64 d2 30) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 d2 30) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d1 d2 (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d2 d1 (*.f64 d1 30))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d1 (+.f64 d2 30))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d1 (+.f64 d2 30))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 d1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d1) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 30))) 1/3) (pow.f64 (sqrt.f64 (*.f64 d1 (+.f64 d2 30))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d1 (+.f64 d2 30)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d1 (+.f64 d2 30))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30)))))))))

simplify22.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-r_binary64`
656×	`associate-l_binary64`
331×	`fma-def_binary64`
254×	`*-commutative_binary64`
162×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	509
1	277	505
2	922	488

Stop Event

1×	node limit

Counts

78 → 85

Calls

Call 1

Inputs
(*.f64 30 d1)
(+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (*.f64 30 d1))
(-.f64 (+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (+.f64 (.f64 30 d1) (.f64 2/1215 (.f64 (.f64 (pow.f64 d2 3) (cbrt.f64 30)) (pow.f64 (pow.f64 d1 7) 1/3))))) (.f64 4/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)) (pow.f64 (pow.f64 d1 7) 1/3))))
(-.f64 (+.f64 (.f64 2/3645 (.f64 (pow.f64 d2 4) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 25) 1/9)))) (+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (+.f64 (.f64 30 d1) (.f64 2/1215 (.f64 (.f64 (pow.f64 d2 3) (cbrt.f64 30)) (pow.f64 (pow.f64 d1 7) 1/3)))))) (+.f64 (.f64 4/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)) (pow.f64 (pow.f64 d1 7) 1/3))) (.f64 4/243 (.f64 (pow.f64 d2 4) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 11)) 1/3) (pow.f64 (pow.f64 d1 25) 1/9))))))
(*.f64 (pow.f64 d1 1/3) (cbrt.f64 30))
(+.f64 (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (pow.f64 d1 7) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3)))) (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)))
(-.f64 (+.f64 (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)) (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 7) 1/9))))) (.f64 1/9 (.f64 (pow.f64 d2 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7)) 1/3) (pow.f64 (pow.f64 d1 11) 1/9)))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 4)) (pow.f64 (pow.f64 d1 5) 1/3))) (+.f64 (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)) (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 7) 1/9)))))) (.f64 1/9 (.f64 (pow.f64 d2 2) (*.f64 (pow.f64 (pow.f64 d1 11) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7)) 1/3)))))

Outputs
(*.f64 30 d1)
(+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (*.f64 30 d1))
(fma.f64 d2 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4)) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (*.f64 30 d1))
(fma.f64 30 d1 (.f64 d2 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4)) (*.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18)))))
(fma.f64 d2 (.f64 (cbrt.f64 (.f64 30 (cbrt.f64 30))) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (.f64 30 d1))
(-.f64 (+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (+.f64 (.f64 30 d1) (.f64 2/1215 (.f64 (.f64 (pow.f64 d2 3) (cbrt.f64 30)) (pow.f64 (pow.f64 d1 7) 1/3))))) (.f64 4/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)) (pow.f64 (pow.f64 d1 7) 1/3))))
(+.f64 (fma.f64 d2 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4)) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (fma.f64 30 d1 (.f64 2/1215 (.f64 (.f64 (cbrt.f64 30) (pow.f64 d2 3)) (cbrt.f64 (pow.f64 d1 7)))))) (.f64 -4/81 (*.f64 (cbrt.f64 (pow.f64 d1 7)) (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)))))
(+.f64 (fma.f64 (.f64 d2 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4))) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18)) (fma.f64 30 d1 (.f64 2/1215 (.f64 (cbrt.f64 30) (.f64 (pow.f64 d2 3) (cbrt.f64 (pow.f64 d1 7))))))) (.f64 (*.f64 -4/81 (cbrt.f64 (pow.f64 d1 7))) (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2))))
(fma.f64 d2 (.f64 (cbrt.f64 (.f64 30 (cbrt.f64 30))) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (fma.f64 30 d1 (.f64 (cbrt.f64 (pow.f64 d1 7)) (-.f64 (.f64 (pow.f64 d2 3) (.f64 (cbrt.f64 30) 2/1215)) (*.f64 4/81 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)))))))
(-.f64 (+.f64 (.f64 2/3645 (.f64 (pow.f64 d2 4) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 25) 1/9)))) (+.f64 (.f64 d2 (.f64 (pow.f64 (pow.f64 (cbrt.f64 30) 4) 1/3) (pow.f64 (pow.f64 d1 13) 1/9))) (+.f64 (.f64 30 d1) (.f64 2/1215 (.f64 (.f64 (pow.f64 d2 3) (cbrt.f64 30)) (pow.f64 (pow.f64 d1 7) 1/3)))))) (+.f64 (.f64 4/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2)) (pow.f64 (pow.f64 d1 7) 1/3))) (.f64 4/243 (.f64 (pow.f64 d2 4) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 11)) 1/3) (pow.f64 (pow.f64 d1 25) 1/9))))))
(-.f64 (fma.f64 2/3645 (.f64 (pow.f64 d2 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)))) (fma.f64 d2 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4)) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (fma.f64 30 d1 (.f64 2/1215 (.f64 (.f64 (cbrt.f64 30) (pow.f64 d2 3)) (cbrt.f64 (pow.f64 d1 7))))))) (fma.f64 4/81 (.f64 (cbrt.f64 (pow.f64 d1 7)) (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2))) (.f64 (.f64 4/243 (pow.f64 d2 4)) (.f64 (*.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 11)))))))
(-.f64 (fma.f64 2/3645 (.f64 (pow.f64 d2 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)))) (fma.f64 (.f64 d2 (cbrt.f64 (pow.f64 (cbrt.f64 30) 4))) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18)) (fma.f64 30 d1 (.f64 2/1215 (.f64 (cbrt.f64 30) (.f64 (pow.f64 d2 3) (cbrt.f64 (pow.f64 d1 7)))))))) (fma.f64 4/81 (.f64 (cbrt.f64 (pow.f64 d1 7)) (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2))) (.f64 4/243 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 11))) (.f64 (*.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)) (pow.f64 d2 4))))))
(fma.f64 2/3645 (.f64 (pow.f64 d2 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)))) (+.f64 (fma.f64 d2 (.f64 (cbrt.f64 (.f64 30 (cbrt.f64 30))) (.f64 (pow.f64 (pow.f64 d1 13) 1/18) (pow.f64 (pow.f64 d1 13) 1/18))) (fma.f64 30 d1 (.f64 (cbrt.f64 (pow.f64 d1 7)) (-.f64 (.f64 (pow.f64 d2 3) (.f64 (cbrt.f64 30) 2/1215)) (.f64 4/81 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 2))))))) (.f64 (.f64 (.f64 (pow.f64 d2 4) -4/243) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 11)))) (.f64 (pow.f64 (pow.f64 d1 25) 1/18) (pow.f64 (pow.f64 d1 25) 1/18)))))
(*.f64 (pow.f64 d1 1/3) (cbrt.f64 30))
(*.f64 (cbrt.f64 30) (cbrt.f64 d1))
(+.f64 (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (pow.f64 d1 7) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3)))) (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)))
(fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (.f64 (.f64 1/3 d2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))))
(fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18))) (.f64 d2 1/3)))
(fma.f64 d2 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))) (.f64 (cbrt.f64 30) (cbrt.f64 d1)))
(-.f64 (+.f64 (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)) (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 7) 1/9))))) (.f64 1/9 (.f64 (pow.f64 d2 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7)) 1/3) (pow.f64 (pow.f64 d1 11) 1/9)))))
(+.f64 (fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (.f64 (.f64 1/3 d2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18))))) (.f64 -1/9 (.f64 (.f64 (.f64 d2 d2) (*.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))))))
(fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (fma.f64 1/3 (.f64 d2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))) (.f64 (.f64 d2 d2) (.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18)))) -1/9)))
(fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (fma.f64 d2 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))) (.f64 -1/9 (.f64 (.f64 d2 d2) (.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18)))))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 4)) (pow.f64 (pow.f64 d1 5) 1/3))) (+.f64 (.f64 (cbrt.f64 30) (pow.f64 d1 1/3)) (.f64 1/3 (.f64 d2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2)) 1/3) (pow.f64 (pow.f64 d1 7) 1/9)))))) (.f64 1/9 (.f64 (pow.f64 d2 2) (*.f64 (pow.f64 (pow.f64 d1 11) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7)) 1/3)))))
(+.f64 (fma.f64 5/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 4)) (cbrt.f64 (pow.f64 d1 5))) (fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (.f64 (.f64 1/3 d2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))))) (.f64 -1/9 (.f64 (.f64 (.f64 d2 d2) (.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))))))
(fma.f64 5/81 (.f64 (/.f64 (pow.f64 d2 3) (pow.f64 (cbrt.f64 30) 4)) (cbrt.f64 (pow.f64 d1 5))) (fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (fma.f64 1/3 (.f64 d2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))) (.f64 (.f64 d2 d2) (*.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18)))) -1/9))))
(fma.f64 (cbrt.f64 (pow.f64 d1 5)) (.f64 1/486 (/.f64 (pow.f64 d2 3) (cbrt.f64 30))) (fma.f64 (cbrt.f64 30) (cbrt.f64 d1) (fma.f64 d2 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 2))) (.f64 (pow.f64 (pow.f64 d1 7) 1/18) (pow.f64 (pow.f64 d1 7) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 30) 7))) (.f64 -1/9 (.f64 (.f64 d2 d2) (*.f64 (pow.f64 (pow.f64 d1 11) 1/18) (pow.f64 (pow.f64 d1 11) 1/18))))))))

prune64.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
▶	13.6b	(.f64 (sqrt.f64 (+.f64 d2 30)) (.f64 (sqrt.f64 (+.f64 d2 30)) d1))

Compiler

Compiled 1941 to 1489 computations (23.3% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 d2 30))
✓	0.1b	(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
✓	0.3b	(.f64 (sqrt.f64 (+.f64 d2 30)) (.f64 (sqrt.f64 (+.f64 d2 30)) d1))

series9.0ms (0.6%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	d1	@	0	(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
1.0ms	d2	@	inf	(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
1.0ms	d2	@	0	(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
1.0ms	d2	@	-inf	(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
1.0ms	d2	@	-inf	(sqrt.f64 (+.f64 d2 30))

rewrite43.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	171	22
2	2124	22

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 d2 30)) (.f64 (sqrt.f64 (+.f64 d2 30)) d1))
(*.f64 (sqrt.f64 (+.f64 d2 30)) d1)
(sqrt.f64 (+.f64 d2 30))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 d2 30) d1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 d2 d2 -900) d1) (+.f64 d2 -30))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 d2 30) d1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 d2 30) d1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 d2 30) d1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 d2 30) d1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 d2 30) d1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 d2 30)) d1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d2 30) d1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 d2 30) d1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 d2 30) 3) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 d2 30) 3/2) (pow.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1) 3) (pow.f64 (+.f64 d2 30) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 d2 30) d1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 d2 30) d1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 d2 30) d1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 d2 30) d1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 d2 30) (*.f64 d1 d1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 d2 30))) d1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 d2 30) 3/2) (pow.f64 d1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d1 3) (pow.f64 (+.f64 d2 30) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 d2 30)) d1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 d2 30)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 d2 30))) (cbrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (sqrt.f64 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 d2 30) 1/4) (pow.f64 (+.f64 d2 30) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 d2 30)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 27000 (pow.f64 d2 3))) (sqrt.f64 (fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 d2 d2 -900)) (sqrt.f64 (+.f64 d2 -30)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d2 30) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d2 30)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d2 30) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 d2 30))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d2 30) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 d2 30)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 d2 30)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d2 30) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d2 30)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 d2 30))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 d2 30))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 d2 30))))))))

simplify35.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
582×	`associate-*l/_binary64`
489×	`associate-/r*_binary64`
350×	`cancel-sign-sub-inv_binary64`
260×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	479
1	144	463
2	420	457
3	1601	435

Stop Event

1×	node limit

Counts

102 → 81

Calls

Call 1

Inputs
(*.f64 30 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d2 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d2 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 (sqrt.f64 30) d1)
(+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (*.f64 (sqrt.f64 30) d1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (.f64 (sqrt.f64 30) d1)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 d2 2) d1) (pow.f64 (sqrt.f64 30) 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 d2 3) d1) (pow.f64 (sqrt.f64 30) 5))) (.f64 (sqrt.f64 30) d1))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 d2 2) d1) (pow.f64 (sqrt.f64 30) 3))))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(sqrt.f64 30)
(+.f64 (sqrt.f64 30) (*.f64 1/2 (/.f64 d2 (sqrt.f64 30))))
(-.f64 (+.f64 (sqrt.f64 30) (.f64 1/2 (/.f64 d2 (sqrt.f64 30)))) (.f64 1/8 (/.f64 (pow.f64 d2 2) (pow.f64 (sqrt.f64 30) 3))))
(-.f64 (+.f64 (sqrt.f64 30) (+.f64 (.f64 1/2 (/.f64 d2 (sqrt.f64 30))) (.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5))))) (*.f64 1/8 (/.f64 (pow.f64 d2 2) (pow.f64 (sqrt.f64 30) 3))))

Outputs
(*.f64 30 d1)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d2 d1)
(*.f64 d1 d2)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d2 d1)
(*.f64 d1 d2)
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(+.f64 (.f64 d2 d1) (.f64 30 d1))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 d2 30))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 d1 (+.f64 30 d2))
(*.f64 (sqrt.f64 30) d1)
(*.f64 d1 (sqrt.f64 30))
(+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (*.f64 (sqrt.f64 30) d1))
(fma.f64 1/2 (/.f64 (.f64 d1 d2) (sqrt.f64 30)) (.f64 d1 (sqrt.f64 30)))
(fma.f64 d1 (sqrt.f64 30) (/.f64 (.f64 (.f64 d1 d2) 1/2) (sqrt.f64 30)))
(fma.f64 d1 (sqrt.f64 30) (*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 30) d2)) d1))
(*.f64 d1 (fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (sqrt.f64 30)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (.f64 (sqrt.f64 30) d1)) (.f64 1/8 (/.f64 (*.f64 (pow.f64 d2 2) d1) (pow.f64 (sqrt.f64 30) 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 d1 d2) (sqrt.f64 30)) (.f64 d1 (sqrt.f64 30))) (.f64 -1/8 (/.f64 (.f64 d1 (*.f64 d2 d2)) (pow.f64 (sqrt.f64 30) 3))))
(fma.f64 1/2 (/.f64 d1 (/.f64 (sqrt.f64 30) d2)) (-.f64 (.f64 d1 (sqrt.f64 30)) (.f64 1/240 (/.f64 (.f64 d1 (.f64 d2 d2)) (sqrt.f64 30)))))
(fma.f64 d1 (sqrt.f64 30) (fma.f64 1/2 (.f64 d1 (/.f64 d2 (sqrt.f64 30))) (.f64 (*.f64 -1/240 (/.f64 d2 (/.f64 (sqrt.f64 30) d2))) d1)))
(fma.f64 d1 (sqrt.f64 30) (.f64 d1 (.f64 (/.f64 d2 (sqrt.f64 30)) (+.f64 (/.f64 (*.f64 d2 -1/8) 30) 1/2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 d2 d1) (sqrt.f64 30))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 d2 3) d1) (pow.f64 (sqrt.f64 30) 5))) (.f64 (sqrt.f64 30) d1))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 d2 2) d1) (pow.f64 (sqrt.f64 30) 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 d1 d2) (sqrt.f64 30)) (fma.f64 1/16 (/.f64 (pow.f64 d2 3) (/.f64 (pow.f64 (sqrt.f64 30) 5) d1)) (.f64 d1 (sqrt.f64 30)))) (.f64 -1/8 (/.f64 (.f64 d1 (*.f64 d2 d2)) (pow.f64 (sqrt.f64 30) 3))))
(fma.f64 1/2 (/.f64 d1 (/.f64 (sqrt.f64 30) d2)) (-.f64 (fma.f64 d1 (sqrt.f64 30) (/.f64 (.f64 (.f64 1/16 d1) (pow.f64 d2 3)) (pow.f64 (sqrt.f64 30) 5))) (.f64 1/240 (/.f64 (.f64 d1 (*.f64 d2 d2)) (sqrt.f64 30)))))
(fma.f64 1/2 (.f64 d1 (/.f64 d2 (sqrt.f64 30))) (fma.f64 d1 (sqrt.f64 30) (fma.f64 1/16 (.f64 d1 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5))) (.f64 (.f64 -1/240 (/.f64 d2 (/.f64 (sqrt.f64 30) d2))) d1))))
(+.f64 (.f64 d1 (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 30) 5)) (pow.f64 d2 3) (sqrt.f64 30))) (.f64 d1 (.f64 (/.f64 d2 (sqrt.f64 30)) (+.f64 (/.f64 (.f64 d2 -1/8) 30) 1/2))))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
(*.f64 d1 (sqrt.f64 (+.f64 30 d2)))
(sqrt.f64 30)
(+.f64 (sqrt.f64 30) (*.f64 1/2 (/.f64 d2 (sqrt.f64 30))))
(fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (sqrt.f64 30))
(-.f64 (+.f64 (sqrt.f64 30) (.f64 1/2 (/.f64 d2 (sqrt.f64 30)))) (.f64 1/8 (/.f64 (pow.f64 d2 2) (pow.f64 (sqrt.f64 30) 3))))
(+.f64 (sqrt.f64 30) (-.f64 (.f64 1/2 (/.f64 d2 (sqrt.f64 30))) (.f64 1/8 (/.f64 (*.f64 d2 d2) (pow.f64 (sqrt.f64 30) 3)))))
(-.f64 (fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (sqrt.f64 30)) (.f64 1/240 (/.f64 (.f64 d2 d2) (sqrt.f64 30))))
(+.f64 (sqrt.f64 30) (fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (*.f64 -1/240 (/.f64 d2 (/.f64 (sqrt.f64 30) d2)))))
(+.f64 (sqrt.f64 30) (.f64 (/.f64 d2 (sqrt.f64 30)) (+.f64 (/.f64 (.f64 d2 -1/8) 30) 1/2)))
(-.f64 (+.f64 (sqrt.f64 30) (+.f64 (.f64 1/2 (/.f64 d2 (sqrt.f64 30))) (.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5))))) (*.f64 1/8 (/.f64 (pow.f64 d2 2) (pow.f64 (sqrt.f64 30) 3))))
(+.f64 (sqrt.f64 30) (-.f64 (fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5)))) (.f64 1/8 (/.f64 (*.f64 d2 d2) (pow.f64 (sqrt.f64 30) 3)))))
(+.f64 (sqrt.f64 30) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5)) (/.f64 (.f64 d2 1/2) (sqrt.f64 30))) (.f64 1/240 (/.f64 (*.f64 d2 d2) (sqrt.f64 30)))))
(+.f64 (sqrt.f64 30) (fma.f64 1/2 (/.f64 d2 (sqrt.f64 30)) (fma.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5)) (*.f64 -1/240 (/.f64 d2 (/.f64 (sqrt.f64 30) d2))))))
(+.f64 (sqrt.f64 30) (fma.f64 1/16 (/.f64 (pow.f64 d2 3) (pow.f64 (sqrt.f64 30) 5)) (.f64 (/.f64 d2 (sqrt.f64 30)) (+.f64 (/.f64 (.f64 d2 -1/8) 30) 1/2))))

prune65.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	1.4b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 30))) 3)
✓	13.6b	(.f64 (sqrt.f64 (+.f64 d2 30)) (.f64 (sqrt.f64 (+.f64 d2 30)) d1))

Compiler

Compiled 1716 to 1340 computations (21.9% saved)

regimes39.0ms (2.6%)

Accuracy

Total 0.0b remaining (55.3%)

Threshold costs 0.0b (55.3%)

Counts

20 → 1

Compiler

Compiled 177 to 123 computations (30.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 d1 (+.f64 d2 30))

Outputs
(*.f64 d1 (+.f64 d2 30))

end47.0ms (3.1%)

Stop Event

1×

done

Compiler

Compiled 44 to 33 computations (25% saved)

Details

analyze146.0ms (9.8%)

sample846.0ms (56.9%)

preprocess18.0ms (1.2%)

simplify7.0ms (0.5%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite37.0ms (2.5%)

simplify8.0ms (0.6%)

prune19.0ms (1.3%)

localize5.0ms (0.4%)

series16.0ms (1.1%)

rewrite44.0ms (2.9%)

simplify22.0ms (1.5%)

prune64.0ms (4.3%)

localize5.0ms (0.3%)

series9.0ms (0.6%)

rewrite43.0ms (2.9%)

simplify35.0ms (2.3%)

prune65.0ms (4.4%)

regimes39.0ms (2.6%)

simplify2.0ms (0.1%)

end47.0ms (3.1%)

Profiling