Details

analyze167.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 20 to 15 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_15462`
4×	`sum-log_binary64_15514`
2×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `flip3-+_binary64_15426` `*-un-lft-identity_binary64_15423` `flip-+_binary64_15397` `+-commutative_binary64_15353`
1×	`associate-+l+_binary64_15356` `distribute-lft-out_binary64_15374`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 519 to 236 computations (54.5% saved)

series178.0ms (4.7%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

122.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
42.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune34.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 564 to 288 computations (48.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 (log.f64 (.f64 x (+.f64 2 x)))) (.f64 y y))
0.0b	(*.f64 x (+.f64 2 x))
4.1b	(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))

rewrite76.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`pow1_binary64_15484` `add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
6×	`add-cube-cbrt_binary64_15458`
5×	`exp-prod_binary64_15475` `add-log-exp_binary64_15462` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
4×	`associate-r/_binary64_15365` `associate-r*_binary64_15363`
3×	`flip3-+_binary64_15426` `flip-+_binary64_15397` `associate-l_binary64_15364`
2×	`pow-prod-down_binary64_15494` `log-pow_binary64_15512` `log-div_binary64_15510` `exp-diff_binary64_15471`
1×	`log-prod_binary64_15509` `exp-sum_binary64_15469` `rem-exp-log_binary64_15463` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `distribute-lft-out_binary64_15374` `*-commutative_binary64_15354` `sum-log_binary64_15514` `+-commutative_binary64_15353`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+.f64 (exp.f64 (log.f64 (.f64 x (+.f64 2 x)))) (.f64 y y))
7.0ms	(*.f64 x (+.f64 2 x))
6.0ms	(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))

Compiler

Compiled 939 to 579 computations (38.3% saved)

series489.0ms (12.9%)

Error

Counts

3 → 24

Calls

3 calls:

274.0ms	(+.f64 (exp.f64 (log.f64 (.f64 x (+.f64 2 x)))) (.f64 y y))
156.0ms	(exp.f64 (log.f64 (*.f64 x (+.f64 2 x))))
37.0ms	(*.f64 x (+.f64 2 x))

Compiler

Compiled 858 to 712 computations (17% saved)

simplify105.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5237	807

prune58.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1021 to 578 computations (43.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.1b	(pow.f64 (*.f64 x (+.f64 x 2)) 2)
0.7b	(-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))
27.4b	(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite333.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`add-sqr-sqrt_binary64_15445`
45×	`difference-of-squares_binary64_15392`
39×	`times-frac_binary64_15429` `*-un-lft-identity_binary64_15423`
32×	`sqr-pow_binary64_15395`
27×	`add-cube-cbrt_binary64_15458`
19×	`unpow-prod-down_binary64_15502`
16×	`unpow2_binary64_15488`
13×	`associate-/l*_binary64_15368`
11×	`add-exp-log_binary64_15461`
9×	`pow1_binary64_15484`
8×	`add-cbrt-cube_binary64_15459`
7×	`cancel-sign-sub-inv_binary64_15389`
6×	`add-log-exp_binary64_15462`
5×	`distribute-lft-out--_binary64_15375`
4×	`associate-r_binary64_15363`
3×	`flip3--_binary64_15427` `flip--_binary64_15398` `associate-/r_binary64_15367` `pow-unpow_binary64_15500` `associate-l*_binary64_15364`
2×	`associate-/l/_binary64_15370` `associate-/r/_binary64_15369` `pow-prod-down_binary64_15494` `pow-pow_binary64_15495` `prod-exp_binary64_15472` `pow-exp_binary64_15491` `associate-*r/_binary64_15365`
1×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422` `div-inv_binary64_15420` `diff-log_binary64_15515` `sub-neg_binary64_15416` `pow-to-exp_binary64_15492` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-lft-out_binary64_15374` `*-commutative_binary64_15354`

Counts

4 → 141

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
9.0ms	(-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))
7.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 2)

Compiler

Compiled 5082 to 3351 computations (34.1% saved)

series771.0ms (20.3%)

Error

Counts

4 → 48

Calls

4 calls:

402.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
209.0ms	(-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))
66.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 2)
41.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 2365 to 1795 computations (24.1% saved)

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4977	4719
1	4977	4719

prune270.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	189	3	192

Error

Counts

192 → 3

Compiler

Compiled 5093 to 3114 computations (38.9% saved)

regimes190.0ms (5%)

Accuracy

Total 0.0b remaining (74.4%)

Threshold costs 0.0b (74.4%)

Compiler

Compiled 1526 to 1137 computations (25.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample838.0ms (22.1%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 330 to 246 computations (25.5% saved)

Details

analyze167.0ms (4.4%)

sample17.0ms (0.4%)

simplify8.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite39.0ms (1%)

series178.0ms (4.7%)

simplify81.0ms (2.1%)

prune34.0ms (0.9%)

localize8.0ms (0.2%)

rewrite76.0ms (2%)

series489.0ms (12.9%)

simplify105.0ms (2.8%)

prune58.0ms (1.5%)

localize11.0ms (0.3%)

rewrite333.0ms (8.8%)

series771.0ms (20.3%)

simplify106.0ms (2.8%)

prune270.0ms (7.1%)

regimes190.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample838.0ms (22.1%)

Profiling