Details

analyze230.0ms (2.4%)

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 (0.7%)

Algorithm

1×

intervals

Results

24.0ms	59×	body	1024	valid
10.0ms	126×	body	128	valid
9.0ms	38×	body	512	valid
7.0ms	7×	body	2048	valid
4.0ms	26×	body	256	valid
1.0ms	13×	body	128	invalid
0.0ms	4×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify156.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5212	41

prune6.0ms (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

32.4b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite81.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_428`
76×	`exp-neg_binary64_466` `frac-times_binary64_429`
57×	`exp-diff_binary64_467` `neg-sub0_binary64_414`
42×	`associate-*l/_binary64_362`
38×	`associate-*r/_binary64_361`
31×	`flip3-+_binary64_422` `flip-+_binary64_393`
29×	`flip3--_binary64_423` `flip--_binary64_394`
19×	`add-sqr-sqrt_binary64_441` `un-div-inv_binary64_417`
18×	`*-un-lft-identity_binary64_419`
15×	`associate-l_binary64_360`
10×	`add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `pow1_binary64_480`
9×	`associate-r_binary64_359` `add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-out_binary64_370` `*-commutative_binary64_350`
2×	`difference-of-squares_binary64_388`
1×	`sub-neg_binary64_412` `div-inv_binary64_416` `distribute-lft-out--_binary64_371` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 166

Calls

8 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)))))
14.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
8.0ms	(*.f64 (-.f64 1 eps) x)
7.0ms	(*.f64 (+.f64 1 eps) x)
0.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

series546.0ms (5.7%)

Counts

4 → 46

Calls

4 calls:

298.0ms	(-.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)))))
120.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
68.0ms	(*.f64 (-.f64 1 eps) x)
59.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 2166 to 1606 computations (25.9% saved)

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5670	9833

prune680.0ms (7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	3	213

Error

0.0b

Counts

213 → 3

Compiler

Compiled 9526 to 7236 computations (24% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.1%)

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

2 calls:

10.0ms	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))
0.0ms	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

series45.0ms (0.5%)

Counts

1 → 8

Calls

1 calls:

45.0ms

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

Compiler

Compiled 131 to 125 computations (4.6% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune46.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Error

0.0b

Counts

39 → 4

Compiler

Compiled 649 to 476 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (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

2 calls:

7.0ms	(/.f64 (+.f64 x 1) (exp.f64 x))
0.0ms	(/.f64 (+.f64 x 1) (exp.f64 x))

series51.0ms (0.5%)

Counts

1 → 8

Calls

1 calls:

51.0ms

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

Compiler

Compiled 124 to 118 computations (4.8% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4907	595
1	4907	595

prune39.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Error

0.0b

Counts

45 → 4

Compiler

Compiled 756 to 534 computations (29.4% saved)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(exp.f64 (*.f64 (-.f64 1 eps) x))
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x)))
0.2b	(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3)
4.6b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) x))) 3)) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
21.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3))

rewrite91.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`*-un-lft-identity_binary64_419`
75×	`times-frac_binary64_425`
52×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
44×	`cbrt-prod_binary64_450`
38×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
32×	`distribute-lft-out_binary64_370`
21×	`div-inv_binary64_416`
11×	`cube-div_binary64_448`
10×	`cbrt-div_binary64_451`
9×	`add-cbrt-cube_binary64_455` `frac-sub_binary64_428`
7×	`add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458`
5×	`pow1_binary64_480` `associate-/l*_binary64_364`
4×	`exp-neg_binary64_466` `frac-times_binary64_429` `flip3--_binary64_423` `flip--_binary64_394`
3×	`exp-diff_binary64_467` `pow-unpow_binary64_496` `associate-/r*_binary64_363` `neg-sub0_binary64_414`
2×	`associate-l/_binary64_362` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442` `pow-exp_binary64_487` `sqr-pow_binary64_391` `associate-r/_binary64_361` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `pow1/3_binary64_501` `sub-neg_binary64_412` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `flip-+_binary64_393` `pow-pow_binary64_491` `diff-log_binary64_511` `un-div-inv_binary64_417` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 170

Calls

8 calls:

29.0ms	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) x))) 3)) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
14.0ms	(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3)
12.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3))
12.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x)))
0.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

series937.0ms (9.7%)

Counts

4 → 56

Calls

4 calls:

357.0ms	(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3)
247.0ms	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (-.f64 1 eps) x))) 3)) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
166.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x)))
166.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) x))) 3))

Compiler

Compiled 3106 to 2473 computations (20.4% saved)

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4972	8100
1	4972	8100

prune566.0ms (5.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	226	4	230

Error

0.0b

Counts

230 → 4

Compiler

Compiled 9272 to 7090 computations (23.5% saved)

simplify241.0ms (2.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	4328	3120
1	4328	3120

regimes275.0ms (2.9%)

Compiler: Compiled 4092 to 3388 computations (17.2% saved)

bsearch0.0ms (0%)

regimes267.0ms (2.8%)

Compiler: Compiled 3976 to 3270 computations (17.8% saved)

bsearch59.0ms (0.6%)

Steps

Iters	Range		Point
7	-1.0016083386461199e-15	-4.799174396150262e-17	-1.1009973366871088e-16

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes251.0ms (2.6%)

Compiler: Compiled 3944 to 3242 computations (17.8% saved)

bsearch0.0ms (0%)

regimes243.0ms (2.5%)

Compiler: Compiled 3892 to 3196 computations (17.9% saved)

bsearch0.0ms (0%)

regimes234.0ms (2.4%)

Compiler: Compiled 3784 to 3104 computations (18% saved)

bsearch0.0ms (0%)

regimes155.0ms (1.6%)

Compiler: Compiled 2446 to 2006 computations (18% saved)

bsearch0.0ms (0%)

regimes92.0ms (1%)

Compiler: Compiled 1472 to 1202 computations (18.3% saved)

bsearch0.0ms (0%)

regimes38.0ms (0.4%)

Compiler: Compiled 520 to 426 computations (18.1% saved)

bsearch0.0ms (0%)

regimes31.0ms (0.3%)

Accuracy

Total 0.5b remaining (98%)

Threshold costs 0.5b (98%)

Compiler

Compiled 356 to 294 computations (17.4% saved)

bsearch20.0ms (0.2%)

Compiler: Compiled 474 to 390 computations (17.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	191	728
1	191	728

end0.0ms (0%)

sample3.7s (38.2%)

Algorithm

1×

intervals

Results

772.0ms	1933×	body	1024	valid
335.0ms	4313×	body	128	valid
237.0ms	1000×	body	512	valid
154.0ms	220×	body	2048	valid
82.0ms	534×	body	256	valid
20.0ms	240×	body	128	invalid
16.0ms	186×	body	128	overflowed
7.0ms	18×	body	1024	invalid
3.0ms	10×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 2548 to 2108 computations (17.3% saved)

Pareto

-0.10722086964895008

Details

analyze230.0ms (2.4%)

sample69.0ms (0.7%)

simplify156.0ms (1.6%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite81.0ms (0.8%)

series546.0ms (5.7%)

simplify128.0ms (1.3%)

prune680.0ms (7%)

localize7.0ms (0.1%)

rewrite12.0ms (0.1%)

series45.0ms (0.5%)

simplify80.0ms (0.8%)

prune46.0ms (0.5%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series51.0ms (0.5%)

simplify89.0ms (0.9%)

prune39.0ms (0.4%)

localize20.0ms (0.2%)

rewrite91.0ms (0.9%)

series937.0ms (9.7%)

simplify130.0ms (1.4%)

prune566.0ms (5.9%)

simplify241.0ms (2.5%)

regimes275.0ms (2.9%)

bsearch0.0ms (0%)

regimes267.0ms (2.8%)

bsearch59.0ms (0.6%)

regimes251.0ms (2.6%)

bsearch0.0ms (0%)

regimes243.0ms (2.5%)

bsearch0.0ms (0%)

regimes234.0ms (2.4%)

bsearch0.0ms (0%)

regimes155.0ms (1.6%)

bsearch0.0ms (0%)

regimes92.0ms (1%)

bsearch0.0ms (0%)

regimes38.0ms (0.4%)

bsearch0.0ms (0%)

regimes31.0ms (0.3%)

bsearch20.0ms (0.2%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.7s (38.2%)

Profiling