Details

analyze620.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	48
1	348	48
0	3	3
1	3	3

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

Symmetry

(sort a b)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	142	12
1	142	12

prune2.0ms (0%)

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

18.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.7b	(.f64 (.f64 (*.f64 a a) b) b)
13.2b	(.f64 (.f64 a a) b)

rewrite64.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`associate-r_binary64_18`
5×	`add-sqr-sqrt_binary64_100`
4×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
2×	`add-log-exp_binary64_117` `associate-l_binary64_19` `*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46`

Counts

2 → 40

Calls

2 calls:

14.0ms	(.f64 (.f64 (*.f64 a a) b) b)
11.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 554 to 161 computations (70.9% saved)

series212.0ms (3.4%)

Error

18.7b

Counts

2 → 12

Calls

2 calls:

116.0ms	(.f64 (.f64 (*.f64 a a) b) b)
81.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 288 to 273 computations (5.2% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5066	461

prune64.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	9	53

Error

0.1b

Counts

53 → 9

Compiler

Compiled 594 to 216 computations (63.6% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`pow1_binary64_139`
7×	`add-sqr-sqrt_binary64_100`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
1×	`pow2_binary64_159` `pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-plus_binary64_141` `prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `sqr-abs_binary64_93` `pow-sqr_binary64_51` `unswap-sqr_binary64_46` `*-commutative_binary64_9`

Counts

1 → 26

Calls

1 calls:

7.0ms

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

Compiler

Compiled 444 to 94 computations (78.8% saved)

series90.0ms (1.5%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

85.0ms

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

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5054	230

prune44.0ms (0.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	29	12	41

Error

0.1b

Counts

41 → 12

Compiler

Compiled 407 to 210 computations (48.4% saved)

localize19.0ms (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)
10.3b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite147.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_100`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `sqrt-prod_binary64_94`
8×	`unpow-prod-down_binary64_157`
7×	`associate-r_binary64_18`
6×	`pow1_binary64_139` `unswap-sqr_binary64_46` `associate-l_binary64_19`
5×	`add-cbrt-cube_binary64_114`
4×	`sqr-pow_binary64_50`
3×	`add-log-exp_binary64_117` `pow-unpow_binary64_155` `prod-exp_binary64_127`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `pow-prod-up_binary64_148`
1×	`rem-sqrt-square_binary64_91` `pow-pow_binary64_150` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

3 → 63

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
4.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
2.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1332 to 480 computations (64% saved)

series563.0ms (9.1%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

283.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
204.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
54.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

Compiler

Compiled 612 to 426 computations (30.4% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5008	1085

prune136.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	5	4	9
Picked	1	0	1
Done	1	1	2
Total	81	12	93

Error

0.0b

Counts

93 → 12

Compiler

Compiled 1452 to 580 computations (60.1% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (.f64 (pow.f64 (fabs.f64 (.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
0.3b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
10.3b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
10.3b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite132.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-exp-log_binary64_116` `sqrt-prod_binary64_94`
14×	`sqrt-pow1_binary64_96`
13×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
11×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19`
8×	`pow-prod-up_binary64_148`
7×	`prod-exp_binary64_127`
6×	`pow1/2_binary64_158`
4×	`add-log-exp_binary64_117`
3×	`unpow-prod-down_binary64_157` `pow-unpow_binary64_155` `cbrt-unprod_binary64_111`
2×	`rem-sqrt-square_binary64_91` `pow-to-exp_binary64_147` `pow-exp_binary64_146`
1×	`pow-pow_binary64_150` `sqr-pow_binary64_50` `pow-prod-down_binary64_149` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (.f64 (pow.f64 (fabs.f64 (.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 2057 to 610 computations (70.3% saved)

series486.0ms (7.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

254.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
82.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
71.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (.f64 (pow.f64 (fabs.f64 (.f64 a b)) 3/2) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))))))
55.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1278 to 661 computations (48.3% saved)

simplify124.0ms (2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4899	1022
1	4899	1022

prune105.0ms (1.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Error

Counts

108 → 12

Compiler

Compiled 1932 to 579 computations (70% saved)

regimes868.0ms (14%)

Accuracy

Total 0.3b remaining (97.2%)

Threshold costs 0.3b (97.2%)

Compiler

Compiled 6863 to 4231 computations (38.4% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

Remove

(sort a b)

Compiler

Compiled 14 to 16 computations (-14.3% saved)

end0.0ms (0%)

sample2.1s (34.6%)

Algorithm

1×

intervals

Results

338.0ms	8000×	body	128	valid
21.0ms	551×	body	128	invalid

Compiler

Compiled 1098 to 682 computations (37.9% saved)

Details

analyze620.0ms (10%)

sample23.0ms (0.4%)

simplify12.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite64.0ms (1%)

series212.0ms (3.4%)

simplify52.0ms (0.8%)

prune64.0ms (1%)

localize10.0ms (0.2%)

rewrite57.0ms (0.9%)

series90.0ms (1.5%)

simplify76.0ms (1.2%)

prune44.0ms (0.7%)

localize19.0ms (0.3%)

rewrite147.0ms (2.4%)

series563.0ms (9.1%)

simplify95.0ms (1.5%)

prune136.0ms (2.2%)

localize23.0ms (0.4%)

rewrite132.0ms (2.1%)

series486.0ms (7.9%)

simplify124.0ms (2%)

prune105.0ms (1.7%)

regimes868.0ms (14%)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

end0.0ms (0%)

sample2.1s (34.6%)

Profiling