Details

analyze232.0ms (2.5%)

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)

sample68.0ms (0.7%)

Algorithm

1×

intervals

Results

31.0ms	67×	body	1024	valid
11.0ms	135×	body	128	valid
7.0ms	31×	body	512	valid
4.0ms	5×	body	2048	valid
3.0ms	18×	body	256	valid
1.0ms	7×	body	128	invalid
0.0ms	3×	body	128	overflowed
0.0ms	1×	body	256	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify157.0ms (1.7%)

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

29.7b

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)
2.9b	(-.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)))))

rewrite754.0ms (8.2%)

Algorithm

1×	rewrite-expression-head

Error

29.1b

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:

22.0ms	(-.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))))
7.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 9853 to 7935 computations (19.5% saved)

series510.0ms (5.5%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

225.0ms	(-.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)))))
100.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
72.0ms	(*.f64 (-.f64 1 eps) x)
66.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3023 to 2090 computations (30.9% saved)

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4980	9233
1	4980	9233

prune510.0ms (5.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	2	207

Error

0.0b

Counts

207 → 2

Compiler

Compiled 8983 to 5869 computations (34.7% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

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)

series54.0ms (0.6%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

45.0ms

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

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune35.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Error

Counts

38 → 3

Compiler

Compiled 548 to 394 computations (28.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

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

Counts

1 → 8

Calls

1 calls:

53.0ms

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

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	595

prune37.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 649 to 445 computations (31.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite494.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

360×	`times-frac_binary64_425`
286×	`*-un-lft-identity_binary64_419`
192×	`sqrt-prod_binary64_435`
190×	`add-sqr-sqrt_binary64_441`
188×	`add-cube-cbrt_binary64_454`
49×	`distribute-lft-out_binary64_370`
32×	`associate-/l*_binary64_364`
12×	`associate-/r*_binary64_363`
11×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`div-inv_binary64_416`
8×	`sqrt-pow1_binary64_437`
6×	`pow1_binary64_480` `exp-prod_binary64_471`
4×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453`
3×	`associate-/l/_binary64_366`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `pow1/2_binary64_499` `rem-sqrt-square_binary64_432`
1×	`flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 297

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
7.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 8460 to 4168 computations (50.7% saved)

series201.0ms (2.2%)

Error

Counts

4 → 28

Calls

4 calls:

77.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x)))
55.0ms	(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
23.0ms	(sqrt.f64 (exp.f64 x))
23.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1048 to 845 computations (19.4% saved)

simplify166.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

325 → 325

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4927	8163
1	4927	8163

prune405.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	325	0	325
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	325	3	328

Error

Counts

328 → 3

Compiler

Compiled 7565 to 4114 computations (45.6% saved)

regimes763.0ms (8.3%)

Accuracy

Total 0.6b remaining (97.8%)

Threshold costs 0.6b (97.8%)

Compiler

Compiled 13132 to 11112 computations (15.4% 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 (47%)

Algorithm

1×

intervals

Results

849.0ms	2060×	body	1024	valid
347.0ms	4224×	body	128	valid
243.0ms	987×	body	512	valid
149.0ms	222×	body	2048	valid
80.0ms	507×	body	256	valid
18.0ms	195×	body	128	invalid
17.0ms	187×	body	128	overflowed
9.0ms	17×	body	1024	invalid
1.0ms	4×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 3250 to 2751 computations (15.4% saved)

Details

analyze232.0ms (2.5%)

sample68.0ms (0.7%)

simplify157.0ms (1.7%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite754.0ms (8.2%)

series510.0ms (5.5%)

simplify139.0ms (1.5%)

prune510.0ms (5.5%)

localize10.0ms (0.1%)

rewrite42.0ms (0.5%)

series54.0ms (0.6%)

simplify83.0ms (0.9%)

prune35.0ms (0.4%)

localize6.0ms (0.1%)

rewrite39.0ms (0.4%)

series59.0ms (0.6%)

simplify94.0ms (1%)

prune37.0ms (0.4%)

localize9.0ms (0.1%)

rewrite494.0ms (5.4%)

series201.0ms (2.2%)

simplify166.0ms (1.8%)

prune405.0ms (4.4%)

regimes763.0ms (8.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.3s (47%)

Profiling