Details

analyze312.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
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
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	241×	body	128	valid
3.0ms	7×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify165.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

11×	`*-un-lft-identity_binary64_3147`
8×	`log-prod_binary64_3233`
6×	`add-log-exp_binary64_3186`
5×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
4×	`pow1_binary64_3208` `log-div_binary64_3234` `add-exp-log_binary64_3185` `associate--l+_binary64_3084`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `add-cbrt-cube_binary64_3183`
2×	`associate--l-_binary64_3085`
1×	`log-pow_binary64_3236` `rem-log-exp_binary64_3188` `sum-log_binary64_3238` `+-commutative_binary64_3077` `diff-log_binary64_3239` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113`

Counts

3 → 45

Calls

3 calls:

7.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 763 to 425 computations (44.3% saved)

series304.0ms (4.8%)

Error

0.4b

Counts

3 → 26

Calls

3 calls:

195.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
75.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
15.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 597 to 458 computations (23.3% saved)

simplify134.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4869	946
1	4869	946

prune78.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Error

0.4b

Counts

72 → 4

Compiler

Compiled 1020 to 578 computations (43.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(+.f64 1 (exp.f64 x))
1.5b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
1.5b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite136.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

16×	`*-un-lft-identity_binary64_3147`
14×	`log-prod_binary64_3233`
8×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163` `add-log-exp_binary64_3186`
6×	`log-pow_binary64_3236` `add-exp-log_binary64_3185`
4×	`flip3-+_binary64_3150` `sqrt-div_binary64_3164` `log-div_binary64_3234` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `add-cbrt-cube_binary64_3183`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-log-exp_binary64_3188` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 64

Calls

4 calls:

10.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
5.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1530 to 974 computations (36.3% saved)

series322.0ms (5.1%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

112.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
112.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
30.0ms	(+.f64 (exp.f64 x) 1)
22.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 1368 to 1108 computations (19% saved)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4886	1150
1	4886	1150

prune123.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Error

0.4b

Counts

92 → 4

Compiler

Compiled 1971 to 1263 computations (35.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(log.f64 (+.f64 (exp.f64 x) 1))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))

rewrite142.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

10×	`*-un-lft-identity_binary64_3147`
9×	`cbrt-prod_binary64_3178`
8×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
6×	`cbrt-div_binary64_3179`
5×	`pow1_binary64_3208` `add-exp-log_binary64_3185`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `log-prod_binary64_3233`
3×	`pow1/3_binary64_3229` `flip3--_binary64_3151` `flip--_binary64_3122`
2×	`log-div_binary64_3234`
1×	`log-pow_binary64_3236` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `rem-log-exp_binary64_3188`

Counts

4 → 54

Calls

4 calls:

7.0ms	(log.f64 (+.f64 (exp.f64 x) 1))
5.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))

Compiler

Compiled 2331 to 1298 computations (44.3% saved)

series1.2s (19.4%)

Error

0.4b

Counts

4 → 42

Calls

4 calls:

375.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
323.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
313.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (*.f64 x y)))
67.0ms	(log.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 5980 to 4487 computations (25% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4997	2951
1	4997	2951

prune289.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Error

0.4b

Counts

100 → 4

Compiler

Compiled 4284 to 2603 computations (39.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
0.0b	(*.f64 x (-.f64 1/2 y))

rewrite113.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

13×	`add-sqr-sqrt_binary64_3169`
12×	`cancel-sign-sub-inv_binary64_3113`
11×	`*-un-lft-identity_binary64_3147`
9×	`add-cube-cbrt_binary64_3182`
8×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `associate-+r+_binary64_3079`
5×	`associate-r_binary64_3087`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sub-neg_binary64_3140`
3×	`add-log-exp_binary64_3186` `associate-l_binary64_3088` `log-prod_binary64_3233` `associate-+l+_binary64_3080`
2×	`associate-*r/_binary64_3089`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `*-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

2 → 52

Calls

2 calls:

10.0ms	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
8.0ms	(*.f64 x (-.f64 1/2 y))

Compiler

Compiled 779 to 551 computations (29.3% saved)

series319.0ms (5%)

Error

0.4b

Counts

2 → 21

Calls

2 calls:

211.0ms	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
96.0ms	(*.f64 x (-.f64 1/2 y))

Compiler

Compiled 446 to 375 computations (15.9% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5360	779

prune69.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Error

0.4b

Counts

77 → 6

Compiler

Compiled 843 to 603 computations (28.5% saved)

regimes253.0ms (4%)

Accuracy

Total 0.2b remaining (52%)

Threshold costs 0.2b (52%)

Compiler

Compiled 1619 to 1309 computations (19.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms (0%)

sample1.9s (30.4%)

Algorithm

1×

intervals

Results

453.0ms	7384×	body	128	valid
103.0ms	208×	body	1024	valid
72.0ms	252×	body	512	valid
25.0ms	155×	body	256	valid
3.0ms	45×	body	128	invalid
2.0ms	1×	body	2048	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 560 to 454 computations (18.9% saved)

Details

analyze312.0ms (4.9%)

sample27.0ms (0.4%)

simplify165.0ms (2.6%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite67.0ms (1.1%)

series304.0ms (4.8%)

simplify134.0ms (2.1%)

prune78.0ms (1.2%)

localize13.0ms (0.2%)

rewrite136.0ms (2.1%)

series322.0ms (5.1%)

simplify106.0ms (1.7%)

prune123.0ms (1.9%)

localize11.0ms (0.2%)

rewrite142.0ms (2.2%)

series1.2s (19.4%)

simplify82.0ms (1.3%)

prune289.0ms (4.6%)

localize6.0ms (0.1%)

rewrite113.0ms (1.8%)

series319.0ms (5%)

simplify93.0ms (1.5%)

prune69.0ms (1.1%)

regimes253.0ms (4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (30.4%)

Profiling