Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	18.7%	6.3%	5
75%	9.4%	15.7%	6
75%	4.7%	20.4%	7
75%	2.3%	22.7%	8
75%	1.2%	23.9%	9
75%	0.6%	24.5%	10
75%	0.3%	24.7%	11
75%	0.1%	24.9%	12
75%	0.1%	25%	13
75%	0%	25%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample722.0ms (78.9%)

Results

710.0ms	8256×	body	128	valid
0.0ms	6×	body	128	invalid

preprocess16.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 1 (*.f64 x x))

Outputs
(/.f64 1 (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x x))

Outputs
(/.f64 1 (*.f64 x x))

prune1.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.7b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (*.f64 x x))

series6.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 1 (*.f64 x x))
1.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x x))

rewrite27.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
377×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`
376×	`expm1-log1p-u_binary64`
366×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	4
2	1158	4

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x x))

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

Outputs

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

simplify64.0ms (7%)

Algorithm

1×	egg-herbie

Rules

608×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
333×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
272×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	19	84
3	34	84
4	74	84
5	205	84
6	806	84
7	2015	84
8	2181	84
9	2365	84
10	2573	84
11	2864	84
12	3255	84
13	3733	84
14	4294	84
15	4980	84

Stop Event

1×	node limit

Counts

32 → 22

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))

Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)

prune13.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Error

Counts

23 → 1

Alt Table

Status	Error	Program
▶	0b	(pow.f64 x -2)

Compiler

Compiled 149 to 114 computations (23.5% saved)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(pow.f64 x -2)

Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (2.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

5 → 1

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 x -2)

Outputs
(pow.f64 x -2)

end22.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 11 to 8 computations (27.3% saved)

Details

analyze4.0ms (0.4%)

sample722.0ms (78.9%)

preprocess16.0ms (1.8%)

simplify6.0ms (0.7%)

prune1.0ms (0.2%)

localize3.0ms (0.3%)

series6.0ms (0.7%)

rewrite27.0ms (3%)

simplify64.0ms (7%)

prune13.0ms (1.5%)

localize2.0ms (0.2%)

prune1.0ms (0.1%)

regimes25.0ms (2.7%)

simplify2.0ms (0.2%)

end22.0ms (2.4%)

Profiling