Details

analyze414.0ms (6.3%)

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 32 to 26 computations (18.8% saved)

sample80.0ms (1.2%)

Algorithm

1×

intervals

Results

36.0ms	60×	body	1024	valid
17.0ms	146×	body	128	valid
12.0ms	38×	body	512	valid
3.0ms	4×	body	2048	valid
2.0ms	8×	body	256	valid
1.0ms	8×	body	128	overflowed
0.0ms	3×	body	128	invalid

Compiler

Compiled 65 to 53 computations (18.5% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
720×	`div-sub_binary64`
534×	`cancel-sign-sub-inv_binary64`
478×	`associate-/l*_binary64`
197×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	56	45
2	151	41
3	373	41
4	1232	41
5	3992	41
6	4908	41
7	5212	41

prune4.0ms (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

28.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	28.5b	(/.f64 (-.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))))) 2)

Compiler

Compiled 91 to 73 computations (19.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
2.4b	(-.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)))))

rewrite340.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

81×	`frac-sub_binary64`
74×	`exp-neg_binary64`
72×	`frac-times_binary64`
56×	`exp-diff_binary64`
56×	`neg-sub0_binary64`

Counts

4 → 148

Calls

4 calls:

18.0ms	(-.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)))))
5.0ms	(*.f64 (+.f64 1 eps) x)
3.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
2.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

Compiler

Compiled 8877 to 7161 computations (19.3% saved)

series133.0ms (2%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

47.0ms	(-.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)))))
21.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
20.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
17.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3274 to 2301 computations (29.7% saved)

simplify241.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

698×	`times-frac_binary64`
457×	`associate-l_binary64`
453×	`associate-r_binary64`
250×	`*-commutative_binary64`
244×	`distribute-rgt-in_binary64`

Counts

190 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	10034
1	1134	9045
2	3847	9017
3	4981	9017

prune113.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	3	169

Error

0.0b

Counts

169 → 3

Alt Table

Status	Error	Program
▶	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 2 x) 2)) 2)
	28.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	41.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) 2)

Compiler

Compiled 4321 to 3006 computations (30.4% saved)

localize8.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune7.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 2 x) 2)) 2)
▶	28.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	41.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) 2)

Compiler

Compiled 245 to 177 computations (27.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b	(pow.f64 E.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite280.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

81×	`frac-sub_binary64`
72×	`frac-times_binary64`
56×	`neg-sub0_binary64`
38×	`associate-*l/_binary64`
37×	`pow-neg_binary64`

Counts

4 → 154

Calls

4 calls:

15.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
5.0ms	(*.f64 (+.f64 1 eps) x)
2.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
2.0ms	(pow.f64 E.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 9387 to 7361 computations (21.6% saved)

series142.0ms (2.2%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

38.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
35.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
22.0ms	(pow.f64 E.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
18.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3220 to 2317 computations (28% saved)

simplify226.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

626×	`times-frac_binary64`
458×	`associate-r_binary64`
452×	`associate-l_binary64`
239×	`distribute-rgt-in_binary64`
228×	`distribute-lft-in_binary64`

Counts

195 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	10433
1	1158	9626
2	3905	9292
3	4961	9292

prune107.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Error

0.0b

Counts

181 → 3

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 2 x) 2)) 2)
✓	28.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
▶	41.6b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) 2)

Compiler

Compiled 4526 to 2953 computations (34.8% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
3.7b	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
3.7b	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
3.7b	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))

rewrite248.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`flip-+_binary64`

Counts

4 → 64

Calls

4 calls:

68.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
25.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
22.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
5.0ms	(pow.f64 (exp.f64 (+.f64 -1 eps)) x)

Compiler

Compiled 6375 to 4079 computations (36% saved)

series222.0ms (3.4%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

56.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
52.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
52.0ms	(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))
28.0ms	(pow.f64 (exp.f64 (+.f64 -1 eps)) x)

Compiler

Compiled 6262 to 4197 computations (33% saved)

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-l_binary64`
401×	`associate-r_binary64`
321×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
162×	`*-commutative_binary64`

Counts

91 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	3583
1	304	3257
2	952	3135
3	3981	3117
4	4961	3117
5	5003	3117

prune110.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	72	3	75

Error

0.0b

Counts

75 → 3

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 2 x) 2)) 2)
	28.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 E.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
	41.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps)))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 -1 eps)) x)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (+.f64 x (.f64 x eps))))))) 2)

Compiler

Compiled 5398 to 3387 computations (37.3% saved)

regimes806.0ms (12.3%)

Accuracy

Total 0.9b remaining (96.8%)

Threshold costs 0.9b (96.8%)

Compiler

Compiled 25278 to 19970 computations (21% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-neg-in_binary64`
15×	`distribute-neg-in_binary64`
13×	`distribute-lft-neg-in_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	29	27
2	45	27
3	69	25
4	90	25
5	102	25
6	116	25
7	120	25
8	116	25

end1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

sample2.8s (42%)

Algorithm

1×

intervals

Results

1.1s	2050×	body	1024	valid
540.0ms	4261×	body	128	valid
328.0ms	985×	body	512	valid
180.0ms	214×	body	2048	valid
157.0ms	490×	body	256	valid
23.0ms	217×	body	128	invalid
20.0ms	173×	body	128	overflowed
9.0ms	18×	body	1024	invalid
3.0ms	10×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 236 to 166 computations (29.7% saved)

Details

analyze414.0ms (6.3%)

sample80.0ms (1.2%)

simplify72.0ms (1.1%)

prune4.0ms (0.1%)

localize19.0ms (0.3%)

rewrite340.0ms (5.2%)

series133.0ms (2%)

simplify241.0ms (3.7%)

prune113.0ms (1.7%)

localize8.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune7.0ms (0.1%)

localize20.0ms (0.3%)

rewrite280.0ms (4.3%)

series142.0ms (2.2%)

simplify226.0ms (3.4%)

prune107.0ms (1.6%)

localize25.0ms (0.4%)

rewrite248.0ms (3.8%)

series222.0ms (3.4%)

simplify185.0ms (2.8%)

prune110.0ms (1.7%)

regimes806.0ms (12.3%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample2.8s (42%)

Profiling