Details

analyze725.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5348	82
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
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)

sample119.0ms (1%)

Algorithm

1×

intervals

Results

53.0ms	65×	body	1024	valid
22.0ms	143×	body	128	valid
16.0ms	33×	body	512	valid
4.0ms	12×	body	256	valid
3.0ms	3×	body	2048	valid
1.0ms	9×	body	128	invalid
1.0ms	7×	body	128	overflowed
1.0ms	1×	body	1024	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5212	41

prune10.0ms (0.1%)

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

28.0b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
1.5b	(-.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)))))

rewrite119.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

40.0ms	(-.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 eps) x)
7.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
6.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

series829.0ms (6.7%)

Counts

4 → 44

Calls

4 calls:

481.0ms	(-.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)))))
122.0ms	(*.f64 (+.f64 1 eps) x)
116.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
109.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 2161 to 1650 computations (23.6% saved)

simplify241.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5115	9116

prune1.2s (9.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	188	4	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	4	193

Error

0.0b

Counts

193 → 4

Compiler

Compiled 8752 to 6614 computations (24.4% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
4×	`exp-neg_binary64_466` `frac-times_binary64_429` `associate-l_binary64_360`
3×	`flip3-+_binary64_422` `exp-diff_binary64_467` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `pow1_binary64_480` `neg-sub0_binary64_414`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361` `add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-out_binary64_370` `*-commutative_binary64_350` `un-div-inv_binary64_417`

Counts

1 → 28

Calls

1 calls:

19.0ms

(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

series77.0ms (0.6%)

Counts

1 → 7

Calls

1 calls:

76.0ms

(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 131 to 125 computations (4.6% saved)

simplify156.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4784	390
1	4784	390

prune66.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	36	3	39

Error

0.0b

Counts

39 → 3

Compiler

Compiled 569 to 408 computations (28.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_419`
12×	`times-frac_binary64_425`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`distribute-lft-out_binary64_370` `associate-/l*_binary64_364`
3×	`add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
2×	`add-exp-log_binary64_457` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `frac-2neg_binary64_430` `flip-+_binary64_393` `pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

1 → 33

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x 1) (exp.f64 x))

series98.0ms (0.8%)

Counts

1 → 7

Calls

1 calls:

98.0ms

(/.f64 (+.f64 x 1) (exp.f64 x))

Compiler

Compiled 124 to 118 computations (4.8% saved)

simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5836	573

prune62.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.0b

Counts

43 → 3

Compiler

Compiled 676 to 466 computations (31.1% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
8.0b	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
14.2b	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
17.0b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite114.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64_457`
37×	`pow1_binary64_480`
30×	`add-cbrt-cube_binary64_455`
29×	`prod-exp_binary64_468`
25×	`add-log-exp_binary64_458`
18×	`add-sqr-sqrt_binary64_441`
17×	`pow-prod-down_binary64_490` `cbrt-unprod_binary64_452`
14×	`associate-l_binary64_360`
11×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454` `sum-log_binary64_510`
6×	`diff-log_binary64_511`
5×	`associate-r_binary64_359` `unswap-sqr_binary64_387`
4×	`flip3-+_binary64_422` `unpow-prod-down_binary64_498` `pow-plus_binary64_482` `cube-prod_binary64_447` `flip-+_binary64_393` `pow-prod-up_binary64_489` `frac-sub_binary64_428`
3×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `cancel-sign-sub-inv_binary64_385`
2×	`sqr-pow_binary64_391` `pow-sqr_binary64_392` `pow2_binary64_500`
1×	`associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `unpow3_binary64_485` `cube-mult_binary64_449` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

4 → 111

Calls

4 calls:

38.0ms	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
18.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
18.0ms	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
13.0ms	(*.f64 (pow.f64 x 3) 2/3)

series1.1s (9.1%)

Counts

4 → 30

Calls

4 calls:

695.0ms	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
216.0ms	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
149.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
68.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 1449 to 1164 computations (19.7% saved)

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5328	3256

prune377.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Error

0.0b

Counts

144 → 3

Compiler

Compiled 5060 to 2804 computations (44.6% saved)

regimes778.0ms (6.2%)

Accuracy

Total 0.5b remaining (98.1%)

Threshold costs 0.5b (98.1%)

Compiler

Compiled 6164 to 5080 computations (17.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms (0%)

sample5.8s (46.2%)

Algorithm

1×

intervals

Results

1.6s	1979×	body	1024	valid
684.0ms	4334×	body	128	valid
500.0ms	1009×	body	512	valid
279.0ms	224×	body	2048	valid
139.0ms	454×	body	256	valid
36.0ms	225×	body	128	invalid
31.0ms	205×	body	128	overflowed
17.0ms	22×	body	1024	invalid
3.0ms	6×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 1508 to 1243 computations (17.6% saved)

Details

analyze725.0ms (5.8%)

sample119.0ms (1%)

simplify151.0ms (1.2%)

prune10.0ms (0.1%)

localize43.0ms (0.3%)

rewrite119.0ms (1%)

series829.0ms (6.7%)

simplify241.0ms (1.9%)

prune1.2s (9.7%)

localize16.0ms (0.1%)

rewrite23.0ms (0.2%)

series77.0ms (0.6%)

simplify156.0ms (1.3%)

prune66.0ms (0.5%)

localize13.0ms (0.1%)

rewrite17.0ms (0.1%)

series98.0ms (0.8%)

simplify146.0ms (1.2%)

prune62.0ms (0.5%)

localize36.0ms (0.3%)

rewrite114.0ms (0.9%)

series1.1s (9.1%)

simplify136.0ms (1.1%)

prune377.0ms (3%)

regimes778.0ms (6.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.8s (46.2%)

Profiling