Details

analyze578.0ms (4.9%)

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)

sample56.0ms (0.5%)

Algorithm

1×

intervals

Results

27.0ms	114×	body	8192	exit
8.0ms	212×	body	128	valid
3.0ms	20×	body	512	valid
2.0ms	24×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify185.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	4887	18
1	4887	18

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.4b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% 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))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite158.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

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:

18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.0ms	(/.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)

series459.0ms (3.9%)

Error

0.1b

Counts

3 → 45

Calls

3 calls:

179.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
159.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
77.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1534 to 998 computations (34.9% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune143.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

0.1b

Counts

137 → 2

Compiler

Compiled 2533 to 1051 computations (58.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.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 (.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)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
7.4b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite279.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64_3510`
18×	`add-log-exp_binary64_3527`
15×	`associate-l_binary64_3429`
14×	`add-exp-log_binary64_3526`
13×	`*-un-lft-identity_binary64_3488`
11×	`add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523`
9×	`pow1_binary64_3549`
6×	`prod-exp_binary64_3537` `flip3-+_binary64_3491` `associate-*l/_binary64_3431` `flip-+_binary64_3462` `cancel-sign-sub-inv_binary64_3454`
5×	`unswap-sqr_binary64_3456` `sum-log_binary64_3579`
4×	`cbrt-unprod_binary64_3521` `associate-r_binary64_3428` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `diff-log_binary64_3580` `frac-sub_binary64_3497` `associate-+r+_binary64_3420`
3×	`pow-prod-down_binary64_3559`
2×	`*-commutative_binary64_3419` `sqr-pow_binary64_3460` `sub-neg_binary64_3481`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `unpow3_binary64_3554` `cube-mult_binary64_3518` `flip3--_binary64_3492` `flip--_binary64_3463` `associate--r+_binary64_3424` `distribute-lft-out_binary64_3439` `associate-+r-_binary64_3422` `+-commutative_binary64_3418`

Counts

4 → 91

Calls

4 calls:

31.0ms	(+.f64 x (-.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))))))
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)))))
10.0ms	(*.f64 (pow.f64 wj 3) 8/3)
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

Compiler

Compiled 3958 to 2501 computations (36.8% saved)

series930.0ms (7.8%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

376.0ms	(-.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)))))
327.0ms	(+.f64 x (-.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))))))
127.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
41.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2614 to 1947 computations (25.5% saved)

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5131	3669

prune250.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	133	5	138

Error

0.0b

Counts

138 → 5

Compiler

Compiled 4593 to 2966 computations (35.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
0.0b	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
0.1b	(*.f64 8/3 (pow.f64 wj 3))
7.4b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

rewrite310.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_3510`
17×	`-un-lft-identity_binary64_3488` `associate-r*_binary64_3428`
14×	`add-exp-log_binary64_3526` `cancel-sign-sub-inv_binary64_3454`
13×	`add-cube-cbrt_binary64_3523`
12×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
11×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
10×	`associate-*r/_binary64_3430` `associate-+l+_binary64_3421`
9×	`pow1_binary64_3549`
6×	`prod-exp_binary64_3537` `sub-neg_binary64_3481`
5×	`unswap-sqr_binary64_3456` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-+r+_binary64_3420`
4×	`cbrt-unprod_binary64_3521` `associate--l+_binary64_3425` `associate-l_binary64_3429` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `sum-log_binary64_3579` `frac-add_binary64_3496`
3×	`pow-prod-down_binary64_3559`
2×	`*-commutative_binary64_3419` `sqr-pow_binary64_3460` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`
1×	`difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `unpow3_binary64_3554` `cube-mult_binary64_3518` `distribute-lft-out_binary64_3439`

Counts

4 → 107

Calls

4 calls:

19.0ms	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
17.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
15.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
10.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 4147 to 2707 computations (34.7% saved)

series909.0ms (7.6%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

387.0ms	(+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3)))))
289.0ms	(+.f64 x (+.f64 (.f64 (.f64 wj wj) (-.f64 (+.f64 (.f64 5/2 x) 1) wj)) (.f64 x (-.f64 (.f64 wj -2) (.f64 8/3 (pow.f64 wj 3))))))
145.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
32.0ms	(*.f64 8/3 (pow.f64 wj 3))

Compiler

Compiled 2720 to 2066 computations (24% saved)

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5069	3976

prune339.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	155	5	160

Error

0.0b

Counts

160 → 5

Compiler

Compiled 4839 to 3294 computations (31.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
2.2b	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
5.0b	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))

rewrite620.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

70×	`cbrt-div_binary64_3520`
50×	`pow1_binary64_3549`
42×	`associate-*r/_binary64_3430`
34×	`add-exp-log_binary64_3526`
32×	`frac-times_binary64_3498`
27×	`pow-prod-down_binary64_3559`
25×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
21×	`prod-exp_binary64_3537` `add-cbrt-cube_binary64_3524` `cbrt-unprod_binary64_3521`
16×	`associate-*l/_binary64_3431`
13×	`cbrt-prod_binary64_3519`
12×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
10×	`flip3--_binary64_3492` `flip--_binary64_3463`
9×	`associate-r_binary64_3428`
8×	`add-cube-cbrt_binary64_3523`
4×	`pow-prod-up_binary64_3558` `pow-plus_binary64_3551` `add-log-exp_binary64_3527`
2×	`pow2_binary64_3569` `pow-sqr_binary64_3461` `associate-l_binary64_3429` `*-commutative_binary64_3419` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `pow1/3_binary64_3570`
1×	`unswap-sqr_binary64_3456`

Counts

4 → 123

Calls

4 calls:

69.0ms	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
32.0ms	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))
12.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
7.0ms	(cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))

Compiler

Compiled 7864 to 5678 computations (27.8% saved)

series827.0ms (7%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

327.0ms	(.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))))
158.0ms	(.f64 (.f64 (.f64 wj wj) (.f64 (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))) (cbrt.f64 (+.f64 (.f64 5/2 x) (-.f64 1 wj))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj)))
138.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
124.0ms	(cbrt.f64 (+.f64 (*.f64 5/2 x) (-.f64 1 wj)))

Compiler

Compiled 4675 to 3732 computations (20.2% saved)

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4935	5297
1	4935	5297

prune548.0ms (4.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	161	5	166

Error

0.0b

Counts

166 → 5

Compiler

Compiled 7988 to 5799 computations (27.4% saved)

regimes651.0ms (5.5%)

Accuracy

Total 0.5b remaining (81.5%)

Threshold costs 0.5b (81.5%)

Compiler

Compiled 6621 to 4563 computations (31.1% saved)

bsearch25.0ms (0.2%)

Steps

Iters	Range		Point
4	2.345702632503359e-07	4.073819264758519e-07	4.018613021297037e-07

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	193	85
1	193	85

end0.0ms (0%)

sample4.0s (34%)

Algorithm

1×

intervals

Results

913.0ms	3624×	body	8192	exit
314.0ms	6589×	body	128	valid
96.0ms	706×	body	512	valid
63.0ms	683×	body	256	valid
4.0ms	22×	body	1024	valid
4.0ms	77×	body	128	invalid
0.0ms	11×	body	128	overflowed

Compiler

Compiled 2286 to 1576 computations (31.1% saved)

Details

analyze578.0ms (4.9%)

sample56.0ms (0.5%)

simplify185.0ms (1.6%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite158.0ms (1.3%)

series459.0ms (3.9%)

simplify109.0ms (0.9%)

prune143.0ms (1.2%)

localize15.0ms (0.1%)

rewrite279.0ms (2.3%)

series930.0ms (7.8%)

simplify115.0ms (1%)

prune250.0ms (2.1%)

localize15.0ms (0.1%)

rewrite310.0ms (2.6%)

series909.0ms (7.6%)

simplify120.0ms (1%)

prune339.0ms (2.9%)

localize28.0ms (0.2%)

rewrite620.0ms (5.2%)

series827.0ms (7%)

simplify151.0ms (1.3%)

prune548.0ms (4.6%)

regimes651.0ms (5.5%)

bsearch25.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.0s (34%)

Profiling