Details

analyze553.0ms (12.7%)

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)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify162.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	142	12
1	142	12

prune4.0ms (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

15.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

6.2b	(.f64 (.f64 (*.f64 a a) b) b)
8.7b	(.f64 (.f64 a a) b)

rewrite25.0ms (0.6%)

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

2 calls:

10.0ms	(.f64 (.f64 (*.f64 a a) b) b)
8.0ms	(.f64 (.f64 a a) b)

series72.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(.f64 (.f64 a a) b)
34.0ms	(.f64 (.f64 (*.f64 a a) b) b)

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5066	410

prune80.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Error

0.1b

Counts

47 → 8

Compiler

Compiled 536 to 206 computations (61.6% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.3%)

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

1 calls:

8.0ms

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

series41.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify145.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5054	209

prune55.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	26	11	37

Error

0.1b

Counts

37 → 11

Compiler

Compiled 395 to 193 computations (51.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.3b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
7.5b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.3%)

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

3 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)))

series88.0ms (2%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
19.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
17.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4879	1001
1	4879	1001

prune90.0ms (2.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	4	4	8
Picked	0	1	1
Done	0	2	2
Total	71	12	83

Error

0.0b

Counts

83 → 12

Compiler

Compiled 1322 to 522 computations (60.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
7.5b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
14.2b	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
14.2b	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
3.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

series471.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
150.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
131.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
28.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify163.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4881	1810
1	4881	1810

prune180.0ms (4.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	101	13	114

Error

Counts

114 → 13

Compiler

Compiled 2809 to 1210 computations (56.9% saved)

regimes530.0ms (12.1%)

Accuracy

Total 0.3b remaining (96.5%)

Threshold costs 0.3b (96.5%)

Compiler

Compiled 3422 to 2428 computations (29% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms (0%)

sample1.4s (33.1%)

Algorithm

1×

intervals

Results

351.0ms	8000×	body	128	valid
23.0ms	569×	body	128	invalid

Compiler

Compiled 565 to 404 computations (28.5% saved)

Details

analyze553.0ms (12.7%)

sample18.0ms (0.4%)

simplify162.0ms (3.7%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series72.0ms (1.6%)

simplify79.0ms (1.8%)

prune80.0ms (1.8%)

localize11.0ms (0.2%)

rewrite11.0ms (0.3%)

series41.0ms (0.9%)

simplify145.0ms (3.3%)

prune55.0ms (1.2%)

localize11.0ms (0.3%)

rewrite15.0ms (0.3%)

series88.0ms (2%)

simplify72.0ms (1.7%)

prune90.0ms (2.1%)

localize12.0ms (0.3%)

rewrite28.0ms (0.6%)

series471.0ms (10.8%)

simplify163.0ms (3.7%)

prune180.0ms (4.1%)

regimes530.0ms (12.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (33.1%)

Profiling