Details

analyze375.0ms (2.8%)

Algorithm

1×

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)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms	105×	body	8192	exit
8.0ms	219×	body	128	valid
2.0ms	21×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	overflowed
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify239.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

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

11.1b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
3.8b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite164.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

10.7b

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:

22.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
17.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series497.0ms (3.8%)

Error

0.1b

Counts

3 → 45

Calls

3 calls:

198.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
171.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
67.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1534 to 998 computations (34.9% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	2769
1	4955	2769

prune135.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

0.1b

Counts

138 → 3

Compiler

Compiled 2562 to 1068 computations (58.3% saved)

localize30.0ms (0.2%)

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)))))
0.2b	(*.f64 (pow.f64 wj 3) 8/3)
9.6b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite266.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

29.0ms	(-.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)))))
21.0ms	(+.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))))))
9.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3958 to 2501 computations (36.8% saved)

series971.0ms (7.4%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

430.0ms	(-.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)))))
268.0ms	(+.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))))))
148.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
45.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2614 to 1947 computations (25.5% saved)

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5131	3669

prune261.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Error

0.1b

Counts

139 → 6

Compiler

Compiled 4600 to 2969 computations (35.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.1b	(.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))
0.1b	(.f64 wj (+.f64 (.f64 5/2 x) 1))
0.2b	(*.f64 (pow.f64 wj 3) 8/3)

rewrite291.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary64_3510`
18×	`associate-l_binary64_3429`
16×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
14×	`*-un-lft-identity_binary64_3488`
13×	`add-cbrt-cube_binary64_3524`
12×	`add-cube-cbrt_binary64_3523`
11×	`pow1_binary64_3549`
7×	`prod-exp_binary64_3537` `associate-r_binary64_3428`
6×	`flip3-+_binary64_3491` `associate-*r/_binary64_3430` `flip-+_binary64_3462`
5×	`cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
4×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `pow-prod-down_binary64_3559` `sum-log_binary64_3579` `diff-log_binary64_3580` `frac-sub_binary64_3497`
3×	`*-commutative_binary64_3419` `cancel-sign-sub-inv_binary64_3454`
2×	`sqr-pow_binary64_3460`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `unpow3_binary64_3554` `cube-mult_binary64_3518` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `associate--l+_binary64_3425` `associate--r+_binary64_3424`

Counts

4 → 102

Calls

4 calls:

19.0ms	(-.f64 (+.f64 x (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
16.0ms	(.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))
7.0ms	(.f64 wj (+.f64 (.f64 5/2 x) 1))
6.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 4215 to 2746 computations (34.9% saved)

series617.0ms (4.7%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

311.0ms	(-.f64 (+.f64 x (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
117.0ms	(.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))
95.0ms	(.f64 wj (+.f64 (.f64 5/2 x) 1))
40.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2382 to 1722 computations (27.7% saved)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5092	3347

prune272.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	141	6	147

Error

0.1b

Counts

147 → 6

Compiler

Compiled 4832 to 3090 computations (36.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.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)))))))
9.6b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
9.6b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
9.6b	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

rewrite792.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary64_3510`
22×	`*-un-lft-identity_binary64_3488`
19×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
18×	`cancel-sign-sub-inv_binary64_3454`
15×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-r_binary64_3428`
14×	`add-cube-cbrt_binary64_3523`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
6×	`sub-neg_binary64_3481` `associate--l+_binary64_3425` `associate-*r/_binary64_3430`
4×	`add-log-exp_binary64_3527` `cbrt-prod_binary64_3519`
3×	`unswap-sqr_binary64_3456` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-l_binary64_3429` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `*-commutative_binary64_3419`
2×	`cbrt-div_binary64_3520`
1×	`pow1/3_binary64_3570` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439`

Counts

4 → 113

Calls

4 calls:

26.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
22.0ms	(cbrt.f64 (+.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)))))))
14.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
13.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

Compiler

Compiled 10341 to 6782 computations (34.4% saved)

series2.1s (15.7%)

Error

0.1b

Counts

4 → 52

Calls

4 calls:

1.1s	(cbrt.f64 (+.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)))))))
213.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
213.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))
200.0ms	(.f64 (.f64 wj wj) (-.f64 (+.f64 (*.f64 5/2 x) 1) wj))

Compiler

Compiled 13303 to 9949 computations (25.2% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5429	5071

prune1.1s (8.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	165	6	171

Error

0.1b

Counts

171 → 6

Compiler

Compiled 14818 to 10042 computations (32.2% saved)

regimes636.0ms (4.8%)

Accuracy

Total 0.6b remaining (87.6%)

Threshold costs 0.6b (87.6%)

Compiler

Compiled 6615 to 4506 computations (31.9% saved)

bsearch25.0ms (0.2%)

Steps

Iters	Range		Point
6	1.015069612294124e-07	1.405665819732695e-06	1.3775701032820146e-06

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	140	73
1	140	73

end0.0ms (0%)

sample3.9s (29.9%)

Algorithm

1×

intervals

Results

945.0ms	3805×	body	8192	exit
285.0ms	6572×	body	128	valid
96.0ms	710×	body	512	valid
63.0ms	703×	body	256	valid
4.0ms	86×	body	128	invalid
3.0ms	15×	body	1024	valid
1.0ms	14×	body	128	overflowed

Compiler

Compiled 2276 to 1552 computations (31.8% saved)

Details

analyze375.0ms (2.8%)

sample46.0ms (0.3%)

simplify239.0ms (1.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite164.0ms (1.2%)

series497.0ms (3.8%)

simplify97.0ms (0.7%)

prune135.0ms (1%)

localize30.0ms (0.2%)

rewrite266.0ms (2%)

series971.0ms (7.4%)

simplify106.0ms (0.8%)

prune261.0ms (2%)

localize18.0ms (0.1%)

rewrite291.0ms (2.2%)

series617.0ms (4.7%)

simplify103.0ms (0.8%)

prune272.0ms (2.1%)

localize23.0ms (0.2%)

rewrite792.0ms (6%)

series2.1s (15.7%)

simplify98.0ms (0.7%)

prune1.1s (8.1%)

regimes636.0ms (4.8%)

bsearch25.0ms (0.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.9s (29.9%)

Profiling