Details

analyze230.0ms (1%)

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
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample69.0ms (0.3%)

Algorithm

1×

intervals

Results

29.0ms	73×	body	1024	valid
13.0ms	130×	body	128	valid
8.0ms	32×	body	512	valid
3.0ms	5×	body	2048	valid
2.0ms	16×	body	256	valid
1.0ms	9×	body	128	invalid
1.0ms	8×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5212	41

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.4b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(*.f64 (+.f64 1 eps) x)
3.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite767.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

30.8b

Rules

81×	`frac-sub_binary64_428`
77×	`exp-neg_binary64_466`
76×	`frac-times_binary64_429`
58×	`neg-sub0_binary64_414` `exp-diff_binary64_467`
40×	`associate-*l/_binary64_362`
38×	`associate-*r/_binary64_361`
31×	`flip3-+_binary64_422` `flip-+_binary64_393`
28×	`flip3--_binary64_423` `flip--_binary64_394`
19×	`un-div-inv_binary64_417`
14×	`*-un-lft-identity_binary64_419`
13×	`add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
8×	`add-log-exp_binary64_458` `pow1_binary64_480` `add-cbrt-cube_binary64_455`
7×	`add-exp-log_binary64_457`
6×	`associate-r_binary64_359` `exp-prod_binary64_471`
3×	`distribute-lft-out_binary64_370`
2×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `rem-exp-log_binary64_459`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `div-inv_binary64_416` `neg-mul-1_binary64_415` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376` `neg-log_binary64_512`

Counts

4 → 160

Calls

4 calls:

19.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
13.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
7.0ms	(*.f64 (+.f64 1 eps) x)
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 9622 to 7769 computations (19.3% saved)

series611.0ms (2.7%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

297.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
117.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
61.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
58.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 4082 to 2778 computations (31.9% saved)

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5778	9988

prune574.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	206	4	210

Error

0.0b

Counts

210 → 4

Compiler

Compiled 9465 to 6483 computations (31.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
4.9b	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
9.7b	(/.f64 (pow.f64 x 3) (exp.f64 x))
13.6b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite404.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`times-frac_binary64_425`
63×	`add-sqr-sqrt_binary64_441`
53×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
44×	`associate-r_binary64_359`
39×	`pow1_binary64_480`
37×	`add-exp-log_binary64_457`
32×	`add-cbrt-cube_binary64_455`
22×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
21×	`prod-exp_binary64_468`
18×	`pow-prod-down_binary64_490`
15×	`cbrt-unprod_binary64_452`
12×	`associate-/l*_binary64_364`
9×	`div-exp_binary64_470`
8×	`sqr-pow_binary64_391`
7×	`unswap-sqr_binary64_387` `unpow3_binary64_485` `cube-mult_binary64_449`
5×	`associate-l_binary64_360`
4×	`pow-prod-up_binary64_489` `pow-plus_binary64_482` `add-log-exp_binary64_458` `frac-times_binary64_429`
3×	`-commutative_binary64_350` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-undiv_binary64_453` `associate-/r_binary64_363` `associate-*r/_binary64_361` `flip3-+_binary64_422` `neg-sub0_binary64_414` `exp-diff_binary64_467` `flip-+_binary64_393` `exp-neg_binary64_466`
2×	`pow2_binary64_500` `pow-sqr_binary64_392` `div-inv_binary64_416` `associate-*l/_binary64_362`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 191

Calls

4 calls:

16.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
9.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
9.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
7.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 8426 to 3676 computations (56.4% saved)

series479.0ms (2.1%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

177.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
130.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
88.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
41.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 2764 to 1869 computations (32.4% saved)

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4948	3375
1	4948	3375

prune349.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	220	4	224

Error

0.0b

Counts

224 → 4

Compiler

Compiled 8793 to 3825 computations (56.5% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

3.0b	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))
13.6b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite54.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`pow1_binary64_480`
14×	`pow-prod-down_binary64_490` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
7×	`add-log-exp_binary64_458`
4×	`pow-prod-up_binary64_489` `pow-plus_binary64_482`
3×	`add-sqr-sqrt_binary64_441`
2×	`pow2_binary64_500` `pow-sqr_binary64_392` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `diff-log_binary64_511`
1×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-r_binary64_359` `*-commutative_binary64_350` `sum-log_binary64_510` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `difference-of-squares_binary64_388` `cancel-sign-sub-inv_binary64_385` `associate--l+_binary64_356`

Counts

2 → 44

Calls

2 calls:

8.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
8.0ms	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))

Compiler

Compiled 983 to 378 computations (61.5% saved)

series224.0ms (1%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

142.0ms	(-.f64 (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))) (.f64 x x))
69.0ms	(.f64 (.f64 x x) (*.f64 eps eps))

Compiler

Compiled 640 to 553 computations (13.6% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	791
1	4945	791

prune50.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	62	4	66

Error

0.0b

Counts

66 → 4

Compiler

Compiled 1072 to 529 computations (50.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))
1.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))) (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))
7.4b	(/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps))))
27.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))

rewrite4.3s (18.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

247×	`times-frac_binary64_425`
186×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
130×	`associate-*r/_binary64_361`
120×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
119×	`cancel-sign-sub-inv_binary64_385`
105×	`add-cube-cbrt_binary64_454`
80×	`frac-sub_binary64_428`
78×	`frac-times_binary64_429`
70×	`flip3--_binary64_423` `flip--_binary64_394`
60×	`associate-l_binary64_360`
56×	`associate--r+_binary64_355`
54×	`difference-of-squares_binary64_388`
44×	`associate-/l/_binary64_366`
39×	`associate-*l/_binary64_362`
33×	`flip3-+_binary64_422` `flip-+_binary64_393`
29×	`exp-sum_binary64_465`
27×	`add-cbrt-cube_binary64_455` `difference-of-sqr-1_binary64_389`
22×	`div-inv_binary64_416`
21×	`add-exp-log_binary64_457`
18×	`distribute-lft-out--_binary64_371`
17×	`associate-/l*_binary64_364`
16×	`associate--l+_binary64_356`
11×	`sub-neg_binary64_412`
9×	`pow1_binary64_480` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
8×	`associate-/r/_binary64_365`
6×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
5×	`associate-/r*_binary64_363`
3×	`pow-prod-down_binary64_490`
2×	`frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418`
1×	`diff-log_binary64_511` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

4 → 427

Calls

4 calls:

46.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))) (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))
42.0ms	(.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))
32.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))
20.0ms	(/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps))))

Compiler

Compiled 40540 to 27186 computations (32.9% saved)

series3.5s (15.6%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

2.3s	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))) (.f64 (+.f64 1 (/.f64 1 eps)) (.f64 (exp.f64 (.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))
569.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 1 (/.f64 1 (.f64 eps eps)))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps)))))
293.0ms	(.f64 (/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (*.f64 x (-.f64 1 eps))) (-.f64 1 (/.f64 1 eps))))
175.0ms	(/.f64 (-.f64 (/.f64 1 (.f64 eps eps)) 1) (exp.f64 (+.f64 x (.f64 x eps))))

Compiler

Compiled 12370 to 9216 computations (25.5% saved)

simplify267.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5129	32088

prune4.2s (18.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	485	2	487
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	486	5	491

Error

0.0b

Counts

491 → 5

Compiler

Compiled 42147 to 27645 computations (34.4% saved)

regimes987.0ms (4.4%)

Accuracy

Total 0.5b remaining (97.8%)

Threshold costs 0.5b (97.8%)

Compiler

Compiled 17919 to 14693 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	24
1	21	24

end0.0ms (0%)

sample5.0s (22.2%)

Algorithm

1×

intervals

Results

813.0ms	2000×	body	1024	valid
339.0ms	4201×	body	128	valid
263.0ms	1078×	body	512	valid
145.0ms	213×	body	2048	valid
77.0ms	508×	body	256	valid
17.0ms	215×	body	128	invalid
14.0ms	184×	body	128	overflowed
5.0ms	12×	body	1024	invalid
3.0ms	11×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 4415 to 3618 computations (18.1% saved)

Details

analyze230.0ms (1%)

sample69.0ms (0.3%)

simplify160.0ms (0.7%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite767.0ms (3.4%)

series611.0ms (2.7%)

simplify127.0ms (0.6%)

prune574.0ms (2.5%)

localize20.0ms (0.1%)

rewrite404.0ms (1.8%)

series479.0ms (2.1%)

simplify110.0ms (0.5%)

prune349.0ms (1.5%)

localize8.0ms (0%)

rewrite54.0ms (0.2%)

series224.0ms (1%)

simplify80.0ms (0.4%)

prune50.0ms (0.2%)

localize25.0ms (0.1%)

rewrite4.3s (18.9%)

series3.5s (15.6%)

simplify267.0ms (1.2%)

prune4.2s (18.4%)

regimes987.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.0s (22.2%)

Profiling