Details

analyze408.0ms (3.2%)

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)

sample70.0ms (0.5%)

Algorithm

1×

intervals

Results

26.0ms	57×	body	1024	valid
15.0ms	147×	body	128	valid
9.0ms	35×	body	512	valid
4.0ms	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)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

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

27.5b

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)
0.1b	(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)))))

rewrite818.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

Rules

81×	`frac-sub_binary64_769`
74×	`exp-neg_binary64_807`
72×	`frac-times_binary64_770`
56×	`neg-sub0_binary64_755` `exp-diff_binary64_808`
38×	`associate-*l/_binary64_703`
36×	`associate-*r/_binary64_702`
28×	`flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734`
18×	`un-div-inv_binary64_758`
12×	`exp-prod_binary64_812`
10×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
8×	`add-cube-cbrt_binary64_795`
6×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`rem-exp-log_binary64_800` `associate-l_binary64_701`
3×	`associate-r_binary64_700`
2×	`neg-mul-1_binary64_756` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `neg-log_binary64_853`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `*-commutative_binary64_691`

Counts

4 → 148

Calls

4 calls:

37.0ms	(-.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)
7.0ms	(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)

series631.0ms (4.9%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

328.0ms	(-.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)))))
72.0ms	(*.f64 (+.f64 1 eps) x)
65.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
63.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 3704 to 2616 computations (29.4% saved)

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5201	9154

prune615.0ms (4.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	6	193

Error

0.0b

Counts

193 → 6

Compiler

Compiled 8754 to 6117 computations (30.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`frac-times_binary64_770` `exp-neg_binary64_807` `associate-l_binary64_701`
3×	`pow1_binary64_821` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `neg-sub0_binary64_755` `exp-diff_binary64_808` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-r_binary64_700`
2×	`add-exp-log_binary64_798` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `un-div-inv_binary64_758` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `*-commutative_binary64_691`

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)

series60.0ms (0.5%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

53.0ms

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

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune47.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	37	5	42

Error

0.0b

Counts

42 → 5

Compiler

Compiled 604 to 439 computations (27.3% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite72.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`*-un-lft-identity_binary64_760`
12×	`times-frac_binary64_766`
10×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`distribute-lft-out_binary64_711` `associate-/l*_binary64_705`
3×	`add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
2×	`add-exp-log_binary64_798` `associate-/l/_binary64_707`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

1 → 33

Calls

1 calls:

12.0ms

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

Compiler

Compiled 589 to 398 computations (32.4% saved)

series79.0ms (0.6%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

74.0ms

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

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	595

prune49.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 711 to 497 computations (30.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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)))))

rewrite836.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

81×	`frac-sub_binary64_769`
72×	`frac-times_binary64_770`
56×	`neg-sub0_binary64_755`
38×	`associate-*l/_binary64_703`
37×	`pow-neg_binary64_833` `exp-neg_binary64_807`
36×	`associate-*r/_binary64_702`
28×	`pow-sub_binary64_836` `flip3--_binary64_764` `exp-diff_binary64_808` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734`
18×	`un-div-inv_binary64_758`
11×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799`
7×	`pow1_binary64_821` `add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796` `pow-unpow_binary64_837` `exp-prod_binary64_812`
4×	`associate-l_binary64_701`
3×	`unpow-prod-down_binary64_839` `associate-r_binary64_700`
2×	`neg-mul-1_binary64_756` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `pow-exp_binary64_828` `rem-exp-log_binary64_800`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `e-exp-1_binary64_805` `sqr-pow_binary64_732` `neg-log_binary64_853` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `*-commutative_binary64_691`

Counts

4 → 154

Calls

4 calls:

24.0ms	(-.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)))

Compiler

Compiled 9544 to 7484 computations (21.6% saved)

series578.0ms (4.5%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

259.0ms	(-.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)))))
90.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
80.0ms	(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
77.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3448 to 2544 computations (26.2% saved)

simplify223.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4957	9297
1	4957	9297

prune568.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	195	5	200

Error

0.0b

Counts

200 → 5

Compiler

Compiled 8881 to 5459 computations (38.5% saved)

regimes1.2s (9.2%)

Accuracy

Total 0.5b remaining (97.9%)

Threshold costs 0.5b (97.9%)

Compiler

Compiled 17037 to 14215 computations (16.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample6.1s (47.2%)

Algorithm

1×

intervals

Results

1.0s	1915×	body	1024	valid
441.0ms	4379×	body	128	valid
311.0ms	997×	body	512	valid
173.0ms	207×	body	2048	valid
98.0ms	502×	body	256	valid
21.0ms	217×	body	128	invalid
20.0ms	29×	body	1024	invalid
17.0ms	190×	body	128	overflowed
4.0ms	13×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 4188 to 3494 computations (16.6% saved)

Details

analyze408.0ms (3.2%)

sample70.0ms (0.5%)

simplify81.0ms (0.6%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite818.0ms (6.4%)

series631.0ms (4.9%)

simplify150.0ms (1.2%)

prune615.0ms (4.8%)

localize7.0ms (0.1%)

rewrite46.0ms (0.4%)

series60.0ms (0.5%)

simplify101.0ms (0.8%)

prune47.0ms (0.4%)

localize12.0ms (0.1%)

rewrite72.0ms (0.6%)

series79.0ms (0.6%)

simplify100.0ms (0.8%)

prune49.0ms (0.4%)

localize24.0ms (0.2%)

rewrite836.0ms (6.5%)

series578.0ms (4.5%)

simplify223.0ms (1.7%)

prune568.0ms (4.4%)

regimes1.2s (9.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.1s (47.2%)

Profiling