Details

analyze361.0ms (2.8%)

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)

sample69.0ms (0.5%)

Algorithm

1×

intervals

Results

26.0ms	66×	body	1024	valid
10.0ms	138×	body	128	valid
7.0ms	9×	body	2048	valid
7.0ms	30×	body	512	valid
2.0ms	13×	body	256	valid
1.0ms	10×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	5×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5212	41

prune5.0ms (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

29.4b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize17.0ms (0.1%)

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)))
1.7b	(-.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)))))

rewrite638.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

Rules

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

Counts

4 → 148

Calls

4 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) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
6.0ms	(*.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)))

Compiler

Compiled 9057 to 7307 computations (19.3% saved)

series564.0ms (4.4%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

307.0ms	(-.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)))))
64.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
64.0ms	(*.f64 (+.f64 1 eps) x)
58.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 3920 to 2738 computations (30.2% saved)

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5364	9343

prune568.0ms (4.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	5	196

Error

0.0b

Counts

196 → 5

Compiler

Compiled 8938 to 6225 computations (30.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 28

Calls

1 calls:

10.0ms

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

Compiler

Compiled 514 to 346 computations (32.7% saved)

series50.0ms (0.4%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

43.0ms

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

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune38.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

0.0b

Counts

41 → 4

Compiler

Compiled 618 to 449 computations (27.3% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`pow1_binary64_480` `div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

1 → 33

Calls

1 calls:

7.0ms

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

Compiler

Compiled 589 to 398 computations (32.4% saved)

series60.0ms (0.5%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

54.0ms

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

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	595

prune37.0ms (0.3%)

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 725 to 507 computations (30.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))
0.6b	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))
0.6b	(cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
2.0b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 -1 eps))) (cbrt.f64 (.f64 x (-.f64 -1 eps))))) (cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))))

rewrite283.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`associate-*l/_binary64_362`
18×	`frac-sub_binary64_428`
12×	`flip3--_binary64_423` `flip--_binary64_394`
8×	`frac-times_binary64_429` `exp-neg_binary64_466` `associate-*r/_binary64_361` `cbrt-prod_binary64_450`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`add-log-exp_binary64_458` `neg-sub0_binary64_414` `exp-diff_binary64_467` `cbrt-div_binary64_451`
5×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
2×	`un-div-inv_binary64_417` `distribute-neg-frac_binary64_383`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `neg-mul-1_binary64_415` `distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`

Counts

4 → 68

Calls

4 calls:

18.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 -1 eps))) (cbrt.f64 (.f64 x (-.f64 -1 eps))))) (cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

Compiler

Compiled 4699 to 3700 computations (21.3% saved)

series4.0s (31.5%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

3.2s	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (exp.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 -1 eps))) (cbrt.f64 (.f64 x (-.f64 -1 eps))))) (cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))))
204.0ms	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))
204.0ms	(cbrt.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
195.0ms	(cbrt.f64 (*.f64 x (-.f64 -1 eps)))

Compiler

Compiled 10217 to 8430 computations (17.5% saved)

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4948	5854
1	4948	5854

prune361.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Error

0.0b

Counts

113 → 4

Compiler

Compiled 6594 to 4760 computations (27.8% saved)

regimes780.0ms (6.1%)

Accuracy

Total 0.5b remaining (97.7%)

Threshold costs 0.5b (97.7%)

Compiler

Compiled 13932 to 11524 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample4.3s (33.4%)

Algorithm

1×

intervals

Results

781.0ms	1992×	body	1024	valid
329.0ms	4273×	body	128	valid
232.0ms	1002×	body	512	valid
130.0ms	196×	body	2048	valid
83.0ms	537×	body	256	valid
17.0ms	222×	body	128	invalid
14.0ms	194×	body	128	overflowed
9.0ms	23×	body	1024	invalid
1.0ms	5×	body	512	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 3428 to 2836 computations (17.3% saved)

Details

analyze361.0ms (2.8%)

sample69.0ms (0.5%)

simplify72.0ms (0.6%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite638.0ms (5%)

series564.0ms (4.4%)

simplify122.0ms (1%)

prune568.0ms (4.5%)

localize8.0ms (0.1%)

rewrite44.0ms (0.3%)

series50.0ms (0.4%)

simplify79.0ms (0.6%)

prune38.0ms (0.3%)

localize6.0ms (0%)

rewrite39.0ms (0.3%)

series60.0ms (0.5%)

simplify95.0ms (0.7%)

prune37.0ms (0.3%)

localize26.0ms (0.2%)

rewrite283.0ms (2.2%)

series4.0s (31.5%)

simplify149.0ms (1.2%)

prune361.0ms (2.8%)

regimes780.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.3s (33.4%)

Profiling