Details

analyze228.0ms (3.1%)

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)

sample67.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	57×	body	1024	valid
14.0ms	147×	body	128	valid
8.0ms	35×	body	512	valid
5.0ms	6×	body	2048	valid
2.0ms	11×	body	256	valid
1.0ms	9×	body	128	overflowed
1.0ms	8×	body	128	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify161.0ms (2.2%)

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

27.5b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize18.0ms (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	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(+.f64 1 (/.f64 1 eps))
0.0b	(*.f64 (+.f64 1 eps) x)
0.1b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.1b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
1.7b	(-.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)))))

rewrite63.0ms (0.9%)

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

8 calls:

23.0ms	(-.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)))))
7.0ms	(*.f64 (+.f64 1 eps) x)
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
3.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0ms	(+.f64 1 (/.f64 1 eps))

series482.0ms (6.6%)

Counts

4 → 44

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)))))
63.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
61.0ms	(*.f64 (+.f64 1 eps) x)
60.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

Compiler

Compiled 2196 to 1665 computations (24.2% saved)

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5201	9154

prune616.0ms (8.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	6	193

Error

0.0b

Counts

193 → 6

Compiler

Compiled 8787 to 6645 computations (24.4% 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 (0.2%)

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

2 calls:

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

series41.0ms (0.6%)

Counts

1 → 8

Calls

1 calls:

41.0ms

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

Compiler

Compiled 131 to 125 computations (4.6% saved)

simplify86.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune48.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Error

0.0b

Counts

42 → 5

Compiler

Compiled 637 to 468 computations (26.5% 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))

series53.0ms (0.7%)

Counts

1 → 8

Calls

1 calls:

52.0ms

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

Compiler

Compiled 124 to 118 computations (4.8% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4907	595
1	4907	595

prune38.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 744 to 526 computations (29.3% saved)

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.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 1 (/.f64 1 eps))
0.0b	(*.f64 (+.f64 1 eps) x)
0.1b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
0.1b	(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
1.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite62.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_428`
72×	`frac-times_binary64_429`
56×	`neg-sub0_binary64_414`
38×	`associate-*l/_binary64_362`
37×	`exp-neg_binary64_466` `pow-neg_binary64_492`
36×	`associate-*r/_binary64_361`
28×	`flip3-+_binary64_422` `exp-diff_binary64_467` `pow-sub_binary64_495` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394`
18×	`un-div-inv_binary64_417`
11×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454`
8×	`add-log-exp_binary64_458`
7×	`add-exp-log_binary64_457` `pow1_binary64_480`
6×	`exp-prod_binary64_471` `add-cbrt-cube_binary64_455` `pow-unpow_binary64_496`
4×	`associate-l_binary64_360`
3×	`unpow-prod-down_binary64_498` `associate-r_binary64_359`
2×	`distribute-lft-neg-in_binary64_376` `neg-mul-1_binary64_415` `distribute-rgt-neg-in_binary64_377` `pow-exp_binary64_487` `rem-exp-log_binary64_459`
1×	`pow-prod-down_binary64_490` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sqr-pow_binary64_391` `distribute-lft-out_binary64_370` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `e-exp-1_binary64_464` `pow-pow_binary64_491` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385` `neg-log_binary64_512`

Counts

4 → 154

Calls

8 calls:

21.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.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)))
2.0ms	(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0ms	(+.f64 1 (/.f64 1 eps))

series418.0ms (5.7%)

Counts

4 → 41

Calls

4 calls:

222.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
73.0ms	(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
62.0ms	(*.f64 (+.f64 1 eps) x)
61.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 2117 to 1655 computations (21.8% saved)

simplify178.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4957	9297
1	4957	9297

prune560.0ms (7.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	195	5	200

Error

0.0b

Counts

200 → 5

Compiler

Compiled 8881 to 6680 computations (24.8% saved)

simplify261.0ms (3.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (234.0ms)

Iter	Nodes	Cost
0	4699	2675
1	4699	2675

regimes249.0ms (3.4%)

Compiler: Compiled 3394 to 2818 computations (17% saved)

bsearch0.0ms (0%)

regimes54.0ms (0.7%)

Compiler: Compiled 86 to 90 computations (-4.7% saved)

bsearch75.0ms (1%)

Steps

Iters	Range		Point
10	0.8154914558622987	2153006413424.157	350.36443179332946

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes32.0ms (0.4%)

Accuracy

Total 0.5b remaining (97.8%)

Threshold costs 0.5b (97.8%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch78.0ms (1.1%)

Steps

Iters	Range		Point
10	0.8154914558622987	2153006413424.157	360.6962230468714

Compiler

Compiled 38 to 40 computations (-5.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	53
1	34	53

end0.0ms (0%)

sample3.2s (43.6%)

Algorithm

1×

intervals

Results

790.0ms	1915×	body	1024	valid
347.0ms	4379×	body	128	valid
247.0ms	997×	body	512	valid
136.0ms	207×	body	2048	valid
83.0ms	502×	body	256	valid
18.0ms	217×	body	128	invalid
14.0ms	190×	body	128	overflowed
12.0ms	29×	body	1024	invalid
4.0ms	13×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 1762 to 1471 computations (16.5% saved)

Pareto

0.9248763700399819

Details

analyze228.0ms (3.1%)

sample67.0ms (0.9%)

simplify161.0ms (2.2%)

prune4.0ms (0%)

localize18.0ms (0.2%)

rewrite63.0ms (0.9%)

series482.0ms (6.6%)

simplify117.0ms (1.6%)

prune616.0ms (8.4%)

localize7.0ms (0.1%)

rewrite12.0ms (0.2%)

series41.0ms (0.6%)

simplify86.0ms (1.2%)

prune48.0ms (0.6%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series53.0ms (0.7%)

simplify92.0ms (1.3%)

prune38.0ms (0.5%)

localize26.0ms (0.4%)

rewrite62.0ms (0.8%)

series418.0ms (5.7%)

simplify178.0ms (2.4%)

prune560.0ms (7.6%)

simplify261.0ms (3.5%)

regimes249.0ms (3.4%)

bsearch0.0ms (0%)

regimes54.0ms (0.7%)

bsearch75.0ms (1%)

regimes32.0ms (0.4%)

bsearch78.0ms (1.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.2s (43.6%)

Profiling