Details

analyze225.0ms (7.7%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
37.4%	43.7%	18.9%	9
37.4%	43.7%	18.9%	10
49.9%	31.2%	18.9%	11
56.2%	20.3%	23.5%	12
56.2%	20.3%	23.5%	13
61.6%	14.8%	23.5%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample23.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify109.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	142	12
1	142	12

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

11.5b	(.f64 (.f64 a a) b)
4.6b	(.f64 (.f64 (*.f64 a a) b) b)
4.6b	(.f64 (.f64 (*.f64 a a) b) b)
11.5b	(.f64 (.f64 a a) b)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 40

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) b)
8.0ms	(.f64 (.f64 (*.f64 a a) b) b)
0.0ms	(.f64 (.f64 (*.f64 a a) b) b)
0.0ms	(.f64 (.f64 a a) b)

series144.0ms (4.9%)

Counts

2 → 12

Calls

2 calls:

73.0ms	(.f64 (.f64 a a) b)
71.0ms	(.f64 (.f64 (*.f64 a a) b) b)

Compiler

Compiled 192 to 204 computations (-6.3% saved)

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5066	461

prune59.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Error

0.1b

Counts

53 → 7

Compiler

Compiled 572 to 198 computations (65.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))
0.3b	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 26

Calls

2 calls:

4.0ms	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))
0.0ms	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))

series58.0ms (2%)

Counts

1 → 6

Calls

1 calls:

57.0ms

(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

Compiler

Compiled 84 to 96 computations (-14.3% saved)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5054	230

prune29.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	31	8	39

Error

0.0b

Counts

39 → 8

Compiler

Compiled 368 to 172 computations (53.3% saved)

localize13.0ms (0.4%)

Local error

Found 6 expressions with local error:

12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
0.2b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.2b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `sqrt-prod_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64`
5×	`add-cbrt-cube_binary64`
4×	`sqr-pow_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `pow-prod-up_binary64` `sqrt-pow1_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `pow-pow_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

3 → 63

Calls

6 calls:

7.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
0.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)

series269.0ms (9.1%)

Counts

3 → 18

Calls

3 calls:

176.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
49.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
44.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 408 to 348 computations (14.7% saved)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5008	1085

prune93.0ms (3.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	78	11	89

Error

0.0b

Counts

89 → 11

Compiler

Compiled 1430 to 555 computations (61.2% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
0.2b	(.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
0.2b	(.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
12.4b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64`
19×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
7×	`pow1/2_binary64` `associate-r_binary64` `sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `rem-sqrt-square_binary64` `pow3_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

8 calls:

8.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
5.0ms	(.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
0.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))

series257.0ms (8.7%)

Counts

4 → 24

Calls

4 calls:

120.0ms	(.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
52.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
44.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
40.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 660 to 444 computations (32.7% saved)

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4967	1025
1	4967	1025

prune72.0ms (2.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	100	12	112

Error

Counts

112 → 12

Compiler

Compiled 1695 to 362 computations (78.6% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	691	613
1	691	613

regimes184.0ms (6.3%)

Compiler: Compiled 1528 to 1167 computations (23.6% saved)

bsearch0.0ms (0%)

regimes115.0ms (3.9%)

Compiler: Compiled 744 to 659 computations (11.4% saved)

bsearch0.0ms (0%)

regimes38.0ms (1.3%)

Compiler: Compiled 88 to 130 computations (-47.7% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 31 to 31 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	47
1	100	47

end0.0ms (0%)

sample879.0ms (29.9%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
14.0ms	531×	body	128	invalid

Compiler

Compiled 397 to 309 computations (22.2% saved)

Pareto

0.7301635410704368

Details

analyze225.0ms (7.7%)

sample23.0ms (0.8%)

simplify109.0ms (3.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.7%)

series144.0ms (4.9%)

simplify50.0ms (1.7%)

prune59.0ms (2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series58.0ms (2%)

simplify75.0ms (2.6%)

prune29.0ms (1%)

localize13.0ms (0.4%)

rewrite16.0ms (0.5%)

series269.0ms (9.1%)

simplify62.0ms (2.1%)

prune93.0ms (3.1%)

localize8.0ms (0.3%)

rewrite22.0ms (0.8%)

series257.0ms (8.7%)

simplify51.0ms (1.7%)

prune72.0ms (2.5%)

simplify16.0ms (0.6%)

regimes184.0ms (6.3%)

bsearch0.0ms (0%)

regimes115.0ms (3.9%)

bsearch0.0ms (0%)

regimes38.0ms (1.3%)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample879.0ms (29.9%)

Profiling