Details

analyze383.0ms (9.9%)

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 (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify12.0ms (0.3%)

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

16.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

6.4b	(.f64 (.f64 (*.f64 a a) b) b)
9.8b	(.f64 (.f64 a a) b)

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

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:

7.0ms	(.f64 (.f64 (*.f64 a a) b) b)
6.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 554 to 161 computations (70.9% saved)

series132.0ms (3.4%)

Error

16.8b

Counts

2 → 12

Calls

2 calls:

69.0ms	(.f64 (.f64 (*.f64 a a) b) b)
56.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 288 to 273 computations (5.2% saved)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5066	461

prune44.0ms (1.1%)

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 595 to 217 computations (63.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (0.7%)

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:

4.0ms

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

Compiler

Compiled 444 to 94 computations (78.8% saved)

series60.0ms (1.5%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

56.0ms

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

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5054	230

prune26.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	30	11	41

Error

0.1b

Counts

41 → 11

Compiler

Compiled 397 to 200 computations (49.6% saved)

localize13.0ms (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)
10.0b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite80.0ms (2.1%)

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:

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)))

Compiler

Compiled 1332 to 480 computations (64% saved)

series268.0ms (6.9%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

169.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
46.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
42.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 612 to 426 computations (30.4% saved)

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5008	1085

prune77.0ms (2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	4	4	8
Picked	1	0	1
Done	0	2	2
Total	80	12	92

Error

0.0b

Counts

92 → 12

Compiler

Compiled 1435 to 561 computations (60.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
0.3b	(.f64 (fabs.f64 (.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
10.0b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
10.0b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite81.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`pow1_binary64_139`
19×	`add-sqr-sqrt_binary64_100`
13×	`sqrt-prod_binary64_94`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `pow-prod-up_binary64_148`
9×	`associate-l_binary64_19`
7×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
2×	`rem-sqrt-square_binary64_91` `pow3_binary64_161` `unswap-sqr_binary64_46` `*-commutative_binary64_9`

Counts

4 → 77

Calls

4 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)))

Compiler

Compiled 1858 to 318 computations (82.9% saved)

series281.0ms (7.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

131.0ms	(.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)))
42.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 990 to 501 computations (49.4% saved)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4967	1025
1	4967	1025

prune69.0ms (1.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	101	12	113

Error

0.0b

Counts

113 → 12

Compiler

Compiled 1695 to 362 computations (78.6% saved)

regimes665.0ms (17.2%)

Accuracy

Total 0.3b remaining (97.1%)

Threshold costs 0.3b (97.1%)

Compiler

Compiled 6325 to 3978 computations (37.1% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

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%)

sample1.3s (34.1%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	128	valid
13.0ms	510×	body	128	invalid

Compiler

Compiled 1008 to 641 computations (36.4% saved)

Details

analyze383.0ms (9.9%)

sample23.0ms (0.6%)

simplify12.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite54.0ms (1.4%)

series132.0ms (3.4%)

simplify47.0ms (1.2%)

prune44.0ms (1.1%)

localize5.0ms (0.1%)

rewrite26.0ms (0.7%)

series60.0ms (1.5%)

simplify73.0ms (1.9%)

prune26.0ms (0.7%)

localize13.0ms (0.3%)

rewrite80.0ms (2.1%)

series268.0ms (6.9%)

simplify58.0ms (1.5%)

prune77.0ms (2%)

localize7.0ms (0.2%)

rewrite81.0ms (2.1%)

series281.0ms (7.3%)

simplify52.0ms (1.3%)

prune69.0ms (1.8%)

regimes665.0ms (17.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.3s (34.1%)

Profiling