Details

analyze364.0ms (3.4%)

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)

sample65.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	59×	body	1024	valid
9.0ms	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)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

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

32.4b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 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	(*.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)))))

rewrite832.0ms (7.7%)

Algorithm

1×	rewrite-expression-head

Error

31.6b

Rules

81×	`frac-sub_binary64_428`
76×	`frac-times_binary64_429` `exp-neg_binary64_466`
57×	`neg-sub0_binary64_414` `exp-diff_binary64_467`
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×	`pow1_binary64_480` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
9×	`add-exp-log_binary64_457` `associate-r_binary64_359`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `distribute-lft-out_binary64_370`
2×	`difference-of-squares_binary64_388`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `distribute-lft-out--_binary64_371` `div-inv_binary64_416`

Counts

4 → 166

Calls

4 calls:

20.0ms	(-.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 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
8.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 9853 to 7935 computations (19.5% saved)

series604.0ms (5.6%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

295.0ms	(-.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)))))
114.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
68.0ms	(*.f64 (-.f64 1 eps) x)
58.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3726 to 2554 computations (31.5% saved)

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5670	9833

prune533.0ms (4.9%)

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 5968 computations (37.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (0.4%)

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 (0.5%)

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)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune36.0ms (0.3%)

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 456 computations (29.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (0.4%)

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)

series59.0ms (0.6%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

53.0ms

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

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	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 514 computations (32% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite772.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

140×	`*-un-lft-identity_binary64_419`
125×	`times-frac_binary64_425`
66×	`cbrt-prod_binary64_450`
62×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
60×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
52×	`exp-sum_binary64_465` `distribute-lft-out_binary64_370`
31×	`div-inv_binary64_416`
27×	`sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`
11×	`cube-div_binary64_448`
10×	`cbrt-div_binary64_451`
9×	`add-cbrt-cube_binary64_455` `frac-sub_binary64_428`
8×	`exp-diff_binary64_467`
7×	`add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458`
5×	`pow1_binary64_480` `associate-/r/_binary64_365` `associate-/l_binary64_364` `associate-/r_binary64_363`
4×	`flip3--_binary64_423` `frac-times_binary64_429` `exp-neg_binary64_466` `flip--_binary64_394`
3×	`neg-sub0_binary64_414` `pow-unpow_binary64_496`
2×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `associate-l/_binary64_362` `associate-r/_binary64_361` `div-exp_binary64_470` `pow-exp_binary64_487` `rem-cube-cbrt_binary64_442` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`pow1/3_binary64_501` `rem-cbrt-cube_binary64_443` `diff-log_binary64_511` `un-div-inv_binary64_417` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 227

Calls

4 calls:

38.0ms	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (.f64 x eps)))) 3)) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
16.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps)))) 3))
16.0ms	(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps)))) 3)
13.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps))))

Compiler

Compiled 10384 to 6853 computations (34% saved)

series1.0s (9.6%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

342.0ms	(pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps)))) 3)
261.0ms	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (.f64 x eps)))) 3)) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
166.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps)))) 3))
156.0ms	(/.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 x (*.f64 x eps))))

Compiler

Compiled 5654 to 4021 computations (28.9% saved)

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5086	9678

prune686.0ms (6.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Error

0.0b

Counts

287 → 4

Compiler

Compiled 11345 to 7172 computations (36.8% saved)

regimes821.0ms (7.6%)

Accuracy

Total 0.6b remaining (98.2%)

Threshold costs 0.6b (98.2%)

Compiler

Compiled 14698 to 12042 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms (0%)

sample4.3s (39.5%)

Algorithm

1×

intervals

Results

749.0ms	1933×	body	1024	valid
318.0ms	4313×	body	128	valid
237.0ms	1000×	body	512	valid
142.0ms	220×	body	2048	valid
76.0ms	534×	body	256	valid
18.0ms	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 3619 to 2964 computations (18.1% saved)

Details

analyze364.0ms (3.4%)

sample65.0ms (0.6%)

simplify74.0ms (0.7%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite832.0ms (7.7%)

series604.0ms (5.6%)

simplify122.0ms (1.1%)

prune533.0ms (4.9%)

localize7.0ms (0.1%)

rewrite39.0ms (0.4%)

series50.0ms (0.5%)

simplify81.0ms (0.8%)

prune36.0ms (0.3%)

localize6.0ms (0.1%)

rewrite41.0ms (0.4%)

series59.0ms (0.6%)

simplify93.0ms (0.9%)

prune39.0ms (0.4%)

localize20.0ms (0.2%)

rewrite772.0ms (7.2%)

series1.0s (9.6%)

simplify125.0ms (1.2%)

prune686.0ms (6.4%)

regimes821.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.3s (39.5%)

Profiling