Details

analyze467.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4908	36
1	4908	36
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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample51.0ms (0.5%)

Algorithm

1×

intervals

Results

25.0ms	124×	body	8192	exit
7.0ms	211×	body	128	valid
2.0ms	21×	body	512	valid
2.0ms	24×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune4.0ms (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

12.2b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.7b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite137.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

11.9b

Rules

49×	`*-un-lft-identity_binary64_3488`
48×	`add-sqr-sqrt_binary64_3510`
38×	`times-frac_binary64_3494`
23×	`add-cube-cbrt_binary64_3523`
10×	`difference-of-squares_binary64_3457`
9×	`associate-/l*_binary64_3433`
8×	`distribute-lft-out_binary64_3439`
7×	`add-cbrt-cube_binary64_3524` `associate-/r*_binary64_3432`
6×	`add-exp-log_binary64_3526`
5×	`add-log-exp_binary64_3527` `distribute-lft-out--_binary64_3440`
3×	`pow1_binary64_3549`
2×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `div-sub_binary64_3493` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434`
1×	`sum-log_binary64_3579` `associate-+r-_binary64_3422` `+-commutative_binary64_3418` `flip3--_binary64_3492` `flip--_binary64_3463`

Counts

3 → 91

Calls

3 calls:

17.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
16.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series394.0ms (3.9%)

Error

0.1b

Counts

3 → 44

Calls

3 calls:

154.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
141.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
60.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1505 to 980 computations (34.9% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2744
1	4956	2744

prune109.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	133	4	137

Error

0.1b

Counts

137 → 4

Compiler

Compiled 2560 to 1067 computations (58.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
6.9b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite231.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

22×	`add-sqr-sqrt_binary64_3510`
18×	`associate-l_binary64_3429`
16×	`add-exp-log_binary64_3526`
13×	`add-cbrt-cube_binary64_3524`
12×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`add-log-exp_binary64_3527`
7×	`prod-exp_binary64_3537` `associate-r_binary64_3428`
6×	`unswap-sqr_binary64_3456` `flip3-+_binary64_3491` `associate-*l/_binary64_3431` `flip-+_binary64_3462`
5×	`cbrt-unprod_binary64_3521`
4×	`pow-prod-down_binary64_3559` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `frac-sub_binary64_3497`
3×	`*-commutative_binary64_3419` `cancel-sign-sub-inv_binary64_3454`
2×	`sqr-pow_binary64_3460` `associate-*r/_binary64_3430` `diff-log_binary64_3580`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `unpow3_binary64_3554` `cube-mult_binary64_3518` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `sum-log_binary64_3579` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `associate--r+_binary64_3424`

Counts

4 → 94

Calls

4 calls:

20.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
11.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3896 to 2454 computations (37% saved)

series702.0ms (6.9%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

353.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
163.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
109.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
36.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2387 to 1749 computations (26.7% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4966	2961
1	4966	2961

prune200.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Error

0.1b

Counts

134 → 4

Compiler

Compiled 4351 to 2739 computations (37% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
0.0b	(*.f64 (exp.f64 wj) (+.f64 wj 1))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-cbrt-cube_binary64_3524`
8×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
7×	`add-exp-log_binary64_3526`
6×	`add-cube-cbrt_binary64_3523`
4×	`pow1_binary64_3549` `associate-r/_binary64_3430` `associate-r*_binary64_3428`
3×	`associate-l_binary64_3429` `times-frac_binary64_3494` `associate-/l*_binary64_3433`
2×	`prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `flip3-+_binary64_3491` `flip-+_binary64_3462` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `associate-/r/_binary64_3434`
1×	`pow-prod-down_binary64_3559` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `distribute-lft-out_binary64_3439` `-commutative_binary64_3419` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/r_binary64_3432`

Counts

2 → 46

Calls

2 calls:

7.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))
7.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))

Compiler

Compiled 671 to 381 computations (43.2% saved)

series159.0ms (1.6%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

111.0ms	(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
35.0ms	(*.f64 (exp.f64 wj) (+.f64 wj 1))

Compiler

Compiled 602 to 351 computations (41.7% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4923	907
1	4923	907

prune46.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Error

0.1b

Counts

71 → 4

Compiler

Compiled 849 to 455 computations (46.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)
0.0b	(+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)))
3.4b	(+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3))
31.3b	(/.f64 (+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3)) (+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj))))

rewrite425.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

73×	`*-un-lft-identity_binary64_3488`
28×	`times-frac_binary64_3494`
26×	`add-sqr-sqrt_binary64_3510`
25×	`distribute-lft-out_binary64_3439`
21×	`add-cube-cbrt_binary64_3523`
20×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
10×	`add-log-exp_binary64_3527`
9×	`associate-/l*_binary64_3433` `cancel-sign-sub-inv_binary64_3454`
8×	`associate-+r+_binary64_3420`
6×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`sum-cubes_binary64_3489`
4×	`pow1_binary64_3549` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
3×	`associate-/r*_binary64_3432` `sub-neg_binary64_3481`
2×	`associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `sum-log_binary64_3579` `+-commutative_binary64_3418` `difference-of-squares_binary64_3457`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `diff-log_binary64_3580` `flip3--_binary64_3492` `flip--_binary64_3463` `distribute-lft-out--_binary64_3440` `div-sub_binary64_3493` `associate--l-_binary64_3426`

Counts

4 → 109

Calls

4 calls:

58.0ms	(/.f64 (+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3)) (+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj))))
47.0ms	(+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3))
22.0ms	(+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)))
21.0ms	(-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)

Compiler

Compiled 7599 to 3241 computations (57.3% saved)

series3.2s (31.3%)

Error

0.1b

Counts

4 → 77

Calls

4 calls:

1.8s	(/.f64 (+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3)) (+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj))))
660.0ms	(+.f64 (.f64 wj wj) (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)))
395.0ms	(+.f64 (pow.f64 wj 3) (pow.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) 3))
165.0ms	(-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)) wj)

Compiler

Compiled 10673 to 6467 computations (39.4% saved)

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4996	10440
1	4996	10440

prune412.0ms (4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	186	4	190

Error

0.1b

Counts

190 → 4

Compiler

Compiled 10625 to 4710 computations (55.7% saved)

regimes340.0ms (3.3%)

Accuracy

Total 1.7b remaining (94.7%)

Threshold costs 0b (0%)

Compiler

Compiled 4692 to 2871 computations (38.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	103	40
1	103	40

end0.0ms (0%)

sample2.7s (26.6%)

Algorithm

1×

intervals

Results

786.0ms	3833×	body	8192	exit
221.0ms	6550×	body	128	valid
80.0ms	705×	body	512	valid
54.0ms	719×	body	256	valid
4.0ms	26×	body	1024	valid
3.0ms	72×	body	128	invalid
0.0ms	14×	body	128	overflowed

Compiler

Compiled 1613 to 991 computations (38.6% saved)

Details

analyze467.0ms (4.6%)

sample51.0ms (0.5%)

simplify135.0ms (1.3%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite137.0ms (1.3%)

series394.0ms (3.9%)

simplify87.0ms (0.9%)

prune109.0ms (1.1%)

localize19.0ms (0.2%)

rewrite231.0ms (2.3%)

series702.0ms (6.9%)

simplify89.0ms (0.9%)

prune200.0ms (2%)

localize6.0ms (0.1%)

rewrite51.0ms (0.5%)

series159.0ms (1.6%)

simplify94.0ms (0.9%)

prune46.0ms (0.5%)

localize17.0ms (0.2%)

rewrite425.0ms (4.2%)

series3.2s (31.3%)

simplify119.0ms (1.2%)

prune412.0ms (4%)

regimes340.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (26.6%)

Profiling