Details

analyze90.0ms (3.4%)

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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	20×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.8b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite50.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 676 to 135 computations (80% saved)

series76.0ms (2.9%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

39.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1119 to 741 computations (33.8% saved)

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-+l+_binary64`
381×	`times-frac_binary64`
378×	`associate-/l*_binary64`
242×	`associate--l+_binary64`
236×	`associate-/r*_binary64`

Counts

69 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1672
1	411	1601
2	1328	1560
3	5218	1560

prune63.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Error

0.2b

Counts

56 → 3

Alt Table

Status	Error	Program
	11.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
▶	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
	22.9b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 1029 to 428 computations (58.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite105.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

52×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64` `exp-prod_binary64`
30×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`log-pow_binary64`
11×	`distribute-lft-out_binary64`

Counts

4 → 101

Calls

4 calls:

8.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
7.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1777 to 376 computations (78.8% saved)

series239.0ms (9%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

70.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
61.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
40.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
15.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3687 to 2528 computations (31.4% saved)

simplify158.0ms (6%)

Algorithm

1×	egg-herbie

Rules

301×	`associate-/l/_binary64`
291×	`cancel-sign-sub-inv_binary64`
215×	`sub-neg_binary64`
208×	`times-frac_binary64`
205×	`distribute-rgt-in_binary64` `associate-/l*_binary64`

Counts

149 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4532
1	789	4378
2	2908	4170
3	4856	4170
4	4965	4170

prune85.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Error

0.2b

Counts

94 → 3

Alt Table

Status	Error	Program
▶	11.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
	22.9b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 2242 to 1135 computations (49.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite61.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
3.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 567 to 413 computations (27.2% saved)

series27.0ms (1%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

11.0ms	(/.f64 1 (+.f64 1 (exp.f64 b)))
6.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 228 to 195 computations (14.5% saved)

simplify128.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

494×	`unswap-sqr_binary64`
470×	`distribute-rgt-neg-in_binary64`
403×	`cancel-sign-sub-inv_binary64`
300×	`*-commutative_binary64`
216×	`sub-neg_binary64`

Counts

61 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	744
1	175	691
2	347	688
3	680	688
4	1663	688
5	2906	688
6	4931	688
7	4964	688
8	4879	688

prune21.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	37	3	40

Error

0.2b

Counts

40 → 3

Alt Table

Status	Error	Program
✓	11.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
✓	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
▶	22.9b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 297 to 213 computations (28.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 a))
0.0b	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.7b	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.8b	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

rewrite119.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

35×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
13×	`associate-/r*_binary64`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
6.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
4.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
3.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 2388 to 1285 computations (46.2% saved)

series74.0ms (2.8%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

36.0ms	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
12.0ms	(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
7.0ms	(pow.f64 (+.f64 1 (exp.f64 a)) 2)
5.0ms	(+.f64 1 (exp.f64 a))

Compiler

Compiled 886 to 554 computations (37.5% saved)

simplify102.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/r*_binary64`
416×	`associate-l_binary64`
358×	`associate-r_binary64`
314×	`associate-/l/_binary64`
299×	`associate-*l/_binary64`

Counts

119 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1997
1	358	1759
2	1114	1756
3	4178	1756
4	4960	1756

prune68.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Error

0.2b

Counts

100 → 3

Alt Table

Status	Error	Program
	11.0b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
	22.9b	(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

Compiler

Compiled 1734 to 938 computations (45.9% saved)

regimes513.0ms (19.4%)

Accuracy

Total 0.4b remaining (67.9%)

Threshold costs 0.4b (67.9%)

Compiler

Compiled 6925 to 4982 computations (28.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15
5	20	15

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample552.0ms (20.9%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
14.0ms	664×	body	128	overflowed

Compiler

Compiled 65 to 45 computations (30.8% saved)

Details

analyze90.0ms (3.4%)

sample16.0ms (0.6%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite50.0ms (1.9%)

series76.0ms (2.9%)

simplify59.0ms (2.2%)

prune63.0ms (2.4%)

localize8.0ms (0.3%)

rewrite105.0ms (4%)

series239.0ms (9%)

simplify158.0ms (6%)

prune85.0ms (3.2%)

localize4.0ms (0.1%)

rewrite61.0ms (2.3%)

series27.0ms (1%)

simplify128.0ms (4.8%)

prune21.0ms (0.8%)

localize9.0ms (0.4%)

rewrite119.0ms (4.5%)

series74.0ms (2.8%)

simplify102.0ms (3.9%)

prune68.0ms (2.6%)

regimes513.0ms (19.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample552.0ms (20.9%)

Profiling