Details

analyze368.0ms (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)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	56×	body	1024	valid
11.0ms	150×	body	128	valid
7.0ms	28×	body	512	valid
3.0ms	21×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	7×	body	128	invalid
0.0ms	6×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5212	41

prune5.0ms (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

26.5b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 eps) x)
0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
3.2b	(-.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 (6.9%)

Algorithm

1×	rewrite-expression-head

Error

26.2b

Rules

81×	`frac-sub_binary64_428`
73×	`exp-neg_binary64_466`
72×	`frac-times_binary64_429`
55×	`neg-sub0_binary64_414` `exp-diff_binary64_467`
40×	`associate-*l/_binary64_362`
36×	`associate-*r/_binary64_361`
29×	`flip3--_binary64_423` `flip--_binary64_394`
28×	`flip3-+_binary64_422` `flip-+_binary64_393`
18×	`un-div-inv_binary64_417`
16×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
10×	`associate-l_binary64_360`
9×	`add-cube-cbrt_binary64_454`
8×	`add-log-exp_binary64_458` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`exp-prod_binary64_471` `associate-r_binary64_359`
2×	`rem-exp-log_binary64_459` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `difference-of-squares_binary64_388`
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` `neg-log_binary64_512` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371`

Counts

4 → 154

Calls

4 calls:

19.0ms	(-.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	(*.f64 (+.f64 1 eps) x)
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 9288 to 7474 computations (19.5% saved)

series563.0ms (6.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

298.0ms	(-.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)))))
75.0ms	(*.f64 (-.f64 1 eps) x)
69.0ms	(*.f64 (+.f64 1 eps) x)
58.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 3407 to 2388 computations (29.9% saved)

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4980	9117
1	4980	9117

prune498.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	3	197

Error

Counts

197 → 3

Compiler

Compiled 8854 to 5609 computations (36.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.2b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
6.1b	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
11.4b	(/.f64 (pow.f64 x 3) (exp.f64 x))
14.7b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite414.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`times-frac_binary64_425`
63×	`add-sqr-sqrt_binary64_441`
53×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
44×	`associate-r_binary64_359`
39×	`pow1_binary64_480`
37×	`add-exp-log_binary64_457`
32×	`add-cbrt-cube_binary64_455`
22×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
21×	`prod-exp_binary64_468`
18×	`pow-prod-down_binary64_490`
15×	`cbrt-unprod_binary64_452`
12×	`associate-/l*_binary64_364`
9×	`div-exp_binary64_470`
8×	`sqr-pow_binary64_391`
7×	`unswap-sqr_binary64_387` `unpow3_binary64_485` `cube-mult_binary64_449`
5×	`associate-l_binary64_360`
4×	`pow-prod-up_binary64_489` `pow-plus_binary64_482` `add-log-exp_binary64_458` `frac-times_binary64_429`
3×	`-commutative_binary64_350` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-undiv_binary64_453` `associate-/r_binary64_363` `associate-*r/_binary64_361` `flip3-+_binary64_422` `neg-sub0_binary64_414` `exp-diff_binary64_467` `flip-+_binary64_393` `exp-neg_binary64_466`
2×	`pow2_binary64_500` `pow-sqr_binary64_392` `div-inv_binary64_416` `associate-*l/_binary64_362`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`

Counts

4 → 191

Calls

4 calls:

16.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
12.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
9.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
7.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 8426 to 3676 computations (56.4% saved)

series483.0ms (5.2%)

Error

Counts

4 → 28

Calls

4 calls:

189.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
126.0ms	(.f64 (.f64 eps eps) (/.f64 (pow.f64 x 3) (exp.f64 x)))
87.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
43.0ms	(/.f64 (pow.f64 x 3) (exp.f64 x))

Compiler

Compiled 2711 to 1833 computations (32.4% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5048	3395

prune358.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	219	3	222

Error

Counts

222 → 3

Compiler

Compiled 8737 to 3704 computations (57.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 x eps))
0.0b	(exp.f64 (-.f64 x (*.f64 x eps)))
1.7b	(+.f64 (-.f64 1 eps) (+.f64 eps 1))
3.2b	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (-.f64 x (.f64 x eps))) (-.f64 1 (/.f64 1 eps))))

rewrite291.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`*-un-lft-identity_binary64_419`
31×	`cancel-sign-sub-inv_binary64_385`
29×	`associate-+r+_binary64_351`
23×	`add-log-exp_binary64_458`
20×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
18×	`times-frac_binary64_425`
14×	`frac-add_binary64_427` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
12×	`associate-*l/_binary64_362`
9×	`flip3-+_binary64_422` `flip-+_binary64_393`
7×	`sum-log_binary64_510` `flip3--_binary64_423` `exp-diff_binary64_467` `flip--_binary64_394`
6×	`distribute-lft-out_binary64_370`
5×	`sub-neg_binary64_412`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `frac-times_binary64_429` `associate-*r/_binary64_361` `diff-log_binary64_511` `associate-+l+_binary64_352`
3×	`exp-prod_binary64_471`
2×	`div-inv_binary64_416` `+-commutative_binary64_349` `distribute-lft-out--_binary64_371` `exp-sum_binary64_465` `rem-exp-log_binary64_459`
1×	`associate-+l-_binary64_354`

Counts

4 → 104

Calls

4 calls:

21.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (-.f64 x (.f64 x eps))) (-.f64 1 (/.f64 1 eps))))
10.0ms	(+.f64 (-.f64 1 eps) (+.f64 eps 1))
4.0ms	(exp.f64 (-.f64 x (*.f64 x eps)))
3.0ms	(-.f64 x (*.f64 x eps))

Compiler

Compiled 5675 to 3172 computations (44.1% saved)

series457.0ms (4.9%)

Error

Counts

4 → 37

Calls

4 calls:

252.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))) (.f64 (exp.f64 (-.f64 x (.f64 x eps))) (-.f64 1 (/.f64 1 eps))))
69.0ms	(-.f64 x (*.f64 x eps))
65.0ms	(exp.f64 (-.f64 x (*.f64 x eps)))
11.0ms	(+.f64 (-.f64 1 eps) (+.f64 eps 1))

Compiler

Compiled 3802 to 2462 computations (35.2% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4925	3775
1	4925	3775

prune269.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Error

Counts

144 → 3

Compiler

Compiled 6593 to 3555 computations (46.1% saved)

regimes643.0ms (6.9%)

Accuracy

Total 1.0b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 11380 to 9440 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	25
1	50	25

end0.0ms (0%)

sample3.8s (41.2%)

Algorithm

1×

intervals

Results

787.0ms	1971×	body	1024	valid
334.0ms	4281×	body	128	valid
252.0ms	1030×	body	512	valid
144.0ms	210×	body	2048	valid
77.0ms	508×	body	256	valid
17.0ms	218×	body	128	invalid
14.0ms	184×	body	128	overflowed
8.0ms	21×	body	1024	invalid
3.0ms	10×	body	512	invalid
1.0ms	7×	body	256	invalid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 2818 to 2334 computations (17.2% saved)

Details

analyze368.0ms (4%)

sample57.0ms (0.6%)

simplify71.0ms (0.8%)

prune5.0ms (0.1%)

localize20.0ms (0.2%)

rewrite638.0ms (6.9%)

series563.0ms (6.1%)

simplify116.0ms (1.3%)

prune498.0ms (5.4%)

localize21.0ms (0.2%)

rewrite414.0ms (4.5%)

series483.0ms (5.2%)

simplify98.0ms (1.1%)

prune358.0ms (3.8%)

localize21.0ms (0.2%)

rewrite291.0ms (3.1%)

series457.0ms (4.9%)

simplify72.0ms (0.8%)

prune269.0ms (2.9%)

regimes643.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (41.2%)

Profiling