Details

analyze465.0ms (10.8%)

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)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify16.0ms (0.4%)

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

15.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.2b	(.f64 (.f64 (*.f64 a a) b) b)
10.5b	(.f64 (.f64 a a) b)

rewrite54.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

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:

8.0ms	(.f64 (.f64 (*.f64 a a) b) b)
6.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 554 to 161 computations (70.9% saved)

series178.0ms (4.1%)

Error

15.3b

Counts

2 → 12

Calls

2 calls:

88.0ms	(.f64 (.f64 (*.f64 a a) b) b)
82.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 288 to 273 computations (5.2% saved)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5066	461

prune61.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Error

0.1b

Counts

53 → 7

Compiler

Compiled 592 to 206 computations (65.2% 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)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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)

series77.0ms (1.8%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

68.0ms

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

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify104.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5054	230

prune38.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	30	9	39

Error

0.0b

Counts

39 → 9

Compiler

Compiled 395 to 189 computations (52.2% saved)

localize20.0ms (0.5%)

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

rewrite100.0ms (2.3%)

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)
3.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1332 to 480 computations (64% saved)

series278.0ms (6.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

164.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
55.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
48.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 612 to 426 computations (30.4% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5008	1085

prune89.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	79	11	90

Error

0.0b

Counts

90 → 11

Compiler

Compiled 1455 to 576 computations (60.4% saved)

localize12.0ms (0.3%)

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

rewrite109.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

14.0ms	(.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)

series395.0ms (9.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

214.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
63.0ms	(.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))))))
54.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
46.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1278 to 661 computations (48.3% saved)

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4899	1022
1	4899	1022

prune92.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Error

0.0b

Counts

107 → 11

Compiler

Compiled 1932 to 579 computations (70% saved)

regimes525.0ms (12.2%)

Accuracy

Total 0.3b remaining (96.3%)

Threshold costs 0.3b (96.3%)

Compiler

Compiled 5092 to 3100 computations (39.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

Remove

(sort a b)

Compiler

Compiled 26 to 20 computations (23.1% saved)

end0.0ms (0%)

sample1.4s (32.3%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
16.0ms	531×	body	128	invalid

Compiler

Compiled 821 to 502 computations (38.9% saved)

Details

analyze465.0ms (10.8%)

sample29.0ms (0.7%)

simplify16.0ms (0.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite54.0ms (1.3%)

series178.0ms (4.1%)

simplify59.0ms (1.4%)

prune61.0ms (1.4%)

localize5.0ms (0.1%)

rewrite28.0ms (0.7%)

series77.0ms (1.8%)

simplify104.0ms (2.4%)

prune38.0ms (0.9%)

localize20.0ms (0.5%)

rewrite100.0ms (2.3%)

series278.0ms (6.4%)

simplify62.0ms (1.4%)

prune89.0ms (2.1%)

localize12.0ms (0.3%)

rewrite109.0ms (2.5%)

series395.0ms (9.2%)

simplify112.0ms (2.6%)

prune92.0ms (2.1%)

regimes525.0ms (12.2%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.4s (32.3%)

Profiling