Details

analyze471.0ms (4.6%)

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)

sample67.0ms (0.7%)

Algorithm

1×

intervals

Results

23.0ms	48×	body	1024	valid
13.0ms	145×	body	128	valid
8.0ms	31×	body	512	valid
6.0ms	8×	body	2048	valid
4.0ms	24×	body	256	valid
0.0ms	6×	body	128	invalid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5212	41

prune8.0ms (0.1%)

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

27.2b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.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))))
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)))))

rewrite1.2s (11.6%)

Algorithm

1×	rewrite-expression-head

Error

26.5b

Rules

81×	`frac-sub_binary64_428`
80×	`frac-times_binary64_429` `exp-neg_binary64_466`
60×	`neg-sub0_binary64_414` `exp-diff_binary64_467`
42×	`associate-*l/_binary64_362`
40×	`associate-*r/_binary64_361`
31×	`add-sqr-sqrt_binary64_441` `flip3--_binary64_423` `flip3-+_binary64_422` `flip--_binary64_394` `flip-+_binary64_393`
24×	`*-un-lft-identity_binary64_419`
23×	`associate-l_binary64_360`
20×	`un-div-inv_binary64_417`
10×	`pow1_binary64_480` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454`
9×	`associate-r_binary64_359`
8×	`add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458` `times-frac_binary64_425` `difference-of-squares_binary64_388`
3×	`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` `difference-of-sqr-1_binary64_389`
2×	`div-inv_binary64_416` `distribute-lft-out--_binary64_371`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 181

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)))))
17.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
14.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
12.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 10532 to 8501 computations (19.3% saved)

series568.0ms (5.6%)

Error

0.0b

Counts

4 → 42

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) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
122.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
117.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
61.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3253 to 2146 computations (34% saved)

simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5004	10046

prune630.0ms (6.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	223	1	224

Error

0.0b

Counts

224 → 1

Compiler

Compiled 9642 to 6573 computations (31.8% 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

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)

series51.0ms (0.5%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

44.0ms

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

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune53.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

37 → 2

Compiler

Compiled 527 to 375 computations (28.8% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite72.0ms (0.7%)

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:

12.0ms

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

Compiler

Compiled 589 to 398 computations (32.4% saved)

series105.0ms (1%)

Error

Counts

1 → 8

Calls

1 calls:

94.0ms

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

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	595

prune41.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 634 to 433 computations (31.7% saved)

regimes981.0ms (9.7%)

Accuracy

Total 0.4b remaining (98.4%)

Threshold costs 0.4b (98.4%)

Compiler

Compiled 14052 to 11912 computations (15.2% 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%)

sample5.4s (53.2%)

Algorithm

1×

intervals

Results

916.0ms	1940×	body	1024	valid
414.0ms	4357×	body	128	valid
279.0ms	975×	body	512	valid
167.0ms	217×	body	2048	valid
91.0ms	511×	body	256	valid
23.0ms	249×	body	128	invalid
16.0ms	183×	body	128	overflowed
9.0ms	19×	body	1024	invalid
5.0ms	13×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 3480 to 2951 computations (15.2% saved)

Details

analyze471.0ms (4.6%)

sample67.0ms (0.7%)

simplify84.0ms (0.8%)

prune8.0ms (0.1%)

localize25.0ms (0.2%)

rewrite1.2s (11.6%)

series568.0ms (5.6%)

simplify141.0ms (1.4%)

prune630.0ms (6.2%)

localize7.0ms (0.1%)

rewrite39.0ms (0.4%)

series51.0ms (0.5%)

simplify79.0ms (0.8%)

prune53.0ms (0.5%)

localize13.0ms (0.1%)

rewrite72.0ms (0.7%)

series105.0ms (1%)

simplify136.0ms (1.3%)

prune41.0ms (0.4%)

regimes981.0ms (9.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (53.2%)

Profiling