Details

analyze300.0ms (4.3%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	233×	body	128	valid
3.0ms	15×	body	512	valid
2.0ms	4×	body	1024	valid
1.0ms	4×	body	256	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune2.0ms (0%)

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

0.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (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))
0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
7.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 763 to 425 computations (44.3% saved)

series321.0ms (4.6%)

Error

0.2b

Counts

3 → 26

Calls

3 calls:

215.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
66.0ms	(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 (1.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4869	946
1	4869	946

prune85.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Error

0.2b

Counts

72 → 4

Compiler

Compiled 963 to 545 computations (43.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)) (*.f64 x y))
0.3b	(log.f64 (+.f64 (exp.f64 x) 1))
0.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3))
0.7b	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)

rewrite138.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

14×	`cbrt-prod_binary64_3178`
13×	`*-un-lft-identity_binary64_3147`
11×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
10×	`pow1_binary64_3208`
8×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
6×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186`
5×	`log-pow_binary64_3236` `add-cbrt-cube_binary64_3183`
4×	`log-prod_binary64_3233`
3×	`pow-unpow_binary64_3224`
2×	`unpow3_binary64_3213` `cube-mult_binary64_3177` `sqr-pow_binary64_3119` `log-div_binary64_3234`
1×	`pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `pow1/3_binary64_3229` `rem-cbrt-cube_binary64_3171` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `rem-log-exp_binary64_3188` `diff-log_binary64_3239` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113`

Counts

4 → 75

Calls

4 calls:

18.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)) (*.f64 x y))
4.0ms	(log.f64 (+.f64 (exp.f64 x) 1))
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3))

Compiler

Compiled 1547 to 1025 computations (33.7% saved)

series452.0ms (6.5%)

Error

0.2b

Counts

4 → 32

Calls

4 calls:

203.0ms	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)) (*.f64 x y))
107.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)
58.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3))
56.0ms	(log.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 959 to 776 computations (19.1% saved)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5017	1525

prune114.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Error

0.2b

Counts

111 → 4

Compiler

Compiled 1656 to 1038 computations (37.3% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x x) (+.f64 3/4 (*.f64 x 3/8)))
1.0b	(pow.f64 (log.f64 2) 2)
6.6b	(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2)))))
8.8b	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2))))))

rewrite399.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

11×	`pow1_binary64_3208` `flip3-+_binary64_3150` `flip-+_binary64_3121`
10×	`add-exp-log_binary64_3185` `associate-*r/_binary64_3089`
9×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `add-sqr-sqrt_binary64_3169`
8×	`add-cube-cbrt_binary64_3182` `frac-add_binary64_3155` `*-un-lft-identity_binary64_3147`
6×	`cbrt-div_binary64_3179`
4×	`unpow-prod-down_binary64_3226`
3×	`cbrt-prod_binary64_3178` `sum-log_binary64_3238` `pow-unpow_binary64_3224` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-r_binary64_3087`
2×	`distribute-rgt-in_binary64_3097` `associate-+r+_binary64_3079` `distribute-lft-in_binary64_3096`
1×	`pow1/3_binary64_3229` `associate-+l+_binary64_3080` `+-commutative_binary64_3077` `log-pow_binary64_3236` `pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `unpow2_binary64_3212` `sqr-pow_binary64_3119` `unswap-sqr_binary64_3115` `associate-l_binary64_3088` `*-commutative_binary64_3078`

Counts

4 → 78

Calls

4 calls:

17.0ms	(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2)))))
14.0ms	(.f64 (.f64 x x) (+.f64 3/4 (*.f64 x 3/8)))
10.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2))))))
4.0ms	(pow.f64 (log.f64 2) 2)

Compiler

Compiled 5320 to 4082 computations (23.3% saved)

series570.0ms (8.2%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

282.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2))))))
151.0ms	(+.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (log.f64 2) (.f64 (.f64 x x) (+.f64 3/4 (.f64 x 3/8))))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 3/8) 3/2)))))
80.0ms	(.f64 (.f64 x x) (+.f64 3/4 (*.f64 x 3/8)))
0.0ms	(pow.f64 (log.f64 2) 2)

Compiler

Compiled 2122 to 1864 computations (12.2% saved)

simplify153.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4946	4912
1	4946	4912

prune377.0ms (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	102	4	106

Error

0.2b

Counts

106 → 4

Compiler

Compiled 5458 to 4215 computations (22.8% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8)))
1.0b	(pow.f64 (log.f64 2) 2)
6.6b	(+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (*.f64 x 3/8))))))
8.8b	(cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (.f64 x 3/8))))))))

rewrite446.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`pow1_binary64_3208`
14×	`add-exp-log_binary64_3185`
13×	`add-cbrt-cube_binary64_3183`
10×	`associate-*r/_binary64_3089`
8×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-log-exp_binary64_3186` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`frac-add_binary64_3155` `unpow-prod-down_binary64_3226`
3×	`cbrt-prod_binary64_3178` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `pow-unpow_binary64_3224` `associate-r_binary64_3087`
2×	`cbrt-div_binary64_3179` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`
1×	`pow1/3_binary64_3229` `sum-log_binary64_3238` `+-commutative_binary64_3077` `log-pow_binary64_3236` `pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `unpow2_binary64_3212` `sqr-pow_binary64_3119` `associate-l_binary64_3088` `*-commutative_binary64_3078`

Counts

4 → 76

Calls

4 calls:

19.0ms	(.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8)))
13.0ms	(+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (*.f64 x 3/8))))))
13.0ms	(cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (.f64 x 3/8))))))))
3.0ms	(pow.f64 (log.f64 2) 2)

Compiler

Compiled 4609 to 3584 computations (22.2% saved)

series691.0ms (10%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

269.0ms	(cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (.f64 x 3/8))))))))
193.0ms	(.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8)))
170.0ms	(+.f64 (.f64 (.f64 (log.f64 2) (.f64 x x)) (+.f64 3/4 (.f64 x 3/8))) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 x (+.f64 3/2 (*.f64 x 3/8))))))
0.0ms	(pow.f64 (log.f64 2) 2)

Compiler

Compiled 2309 to 2041 computations (11.6% saved)

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4972	3725
1	4972	3725

prune321.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Error

0.2b

Counts

104 → 4

Compiler

Compiled 4949 to 3835 computations (22.5% saved)

regimes179.0ms (2.6%)

Accuracy

Total 0.3b remaining (46.4%)

Threshold costs 0.3b (46.4%)

Compiler

Compiled 1318 to 1125 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.7s (24.6%)

Algorithm

1×

intervals

Results

484.0ms	7381×	body	128	valid
109.0ms	210×	body	1024	valid
70.0ms	244×	body	512	valid
28.0ms	163×	body	256	valid
3.0ms	41×	body	128	invalid
3.0ms	2×	body	2048	valid
1.0ms	13×	body	128	overflowed

Compiler

Compiled 477 to 406 computations (14.9% saved)

Details

analyze300.0ms (4.3%)

sample28.0ms (0.4%)

simplify136.0ms (2%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite85.0ms (1.2%)

series321.0ms (4.6%)

simplify134.0ms (1.9%)

prune85.0ms (1.2%)

localize12.0ms (0.2%)

rewrite138.0ms (2%)

series452.0ms (6.5%)

simplify114.0ms (1.6%)

prune114.0ms (1.6%)

localize28.0ms (0.4%)

rewrite399.0ms (5.8%)

series570.0ms (8.2%)

simplify153.0ms (2.2%)

prune377.0ms (5.4%)

localize36.0ms (0.5%)

rewrite446.0ms (6.4%)

series691.0ms (10%)

simplify87.0ms (1.3%)

prune321.0ms (4.6%)

regimes179.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (24.6%)

Profiling