Details

analyze97.0ms (2.7%)

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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	21×	body	128	overflowed

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify8.0ms (0.2%)

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

prune3.0ms (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

0.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite75.0ms (2.1%)

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`
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)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 676 to 135 computations (80% saved)

series77.0ms (2.2%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

39.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1119 to 741 computations (33.8% saved)

simplify65.0ms (1.8%)

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	5229	1560

prune57.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Error

0.2b

Counts

56 → 4

Alt Table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
▶	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	23.7b	(-.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 1051 to 444 computations (57.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
1.9b	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
3.7b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite92.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

21×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64` `add-log-exp_binary64`
8×	`log-prod_binary64` `cancel-sign-sub-inv_binary64`
7×	`exp-sum_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
5.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1144 to 262 computations (77.1% saved)

series192.0ms (5.4%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

47.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
47.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
39.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
16.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2551 to 1844 computations (27.7% saved)

simplify153.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

410×	`times-frac_binary64`
365×	`associate-/l*_binary64`
258×	`associate-/r*_binary64`
216×	`sub-neg_binary64`
195×	`distribute-rgt-in_binary64`

Counts

122 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2958
1	630	2744
2	1995	2501
3	4944	2498
4	4995	2498
5	4984	2498

prune81.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Error

0.2b

Counts

104 → 5

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
✓	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	13.6b	(/.f64 1 (+.f64 1 (exp.f64 b)))
	0.6b	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
	23.7b	(-.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 1629 to 783 computations (51.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
0.2b	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))

rewrite159.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

108×	`times-frac_binary64`
95×	`*-un-lft-identity_binary64`
61×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
17×	`distribute-lft-out_binary64`

Counts

3 → 133

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
7.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2439 to 700 computations (71.3% saved)

series116.0ms (3.3%)

Error

Counts

3 → 36

Calls

3 calls:

39.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
27.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
18.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1563 to 1044 computations (33.2% saved)

simplify181.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

781×	`times-frac_binary64`
346×	`associate-/r/_binary64`
312×	`associate-/l/_binary64`
192×	`distribute-rgt-in_binary64`
166×	`cancel-sign-sub-inv_binary64`

Counts

169 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4379
1	656	4111
2	2206	4013
3	4666	4013
4	4963	4013

prune123.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	157	4	161

Error

Counts

161 → 4

Alt Table

Status	Error	Program
	23.6b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))
✓	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
▶	0.6b	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
	23.7b	(-.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 2219 to 792 computations (64.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
1.9b	(-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
4.0b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
4.0b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite154.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`log-pow_binary64`
55×	`*-un-lft-identity_binary64`
52×	`cancel-sign-sub-inv_binary64`
48×	`pow1_binary64`
31×	`exp-sum_binary64`

Counts

4 → 140

Calls

4 calls:

18.0ms	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
18.0ms	(-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

Compiler

Compiled 2860 to 512 computations (82.1% saved)

series275.0ms (7.7%)

Error

Counts

4 → 47

Calls

4 calls:

62.0ms	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
60.0ms	(-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
50.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
48.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

Compiler

Compiled 3644 to 2604 computations (28.5% saved)

simplify184.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

467×	`times-frac_binary64`
236×	`sub-neg_binary64`
225×	`distribute-rgt-in_binary64`
196×	`cancel-sign-sub-inv_binary64`
177×	`distribute-lft-in_binary64`

Counts

187 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	4780
1	781	4290
2	2325	3913
3	4700	3910
4	4969	3910

prune91.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Error

Counts

165 → 4

Alt Table

Status	Error	Program
	23.6b	(/.f64 1 (+.f64 1 (*.f64 (exp.f64 (neg.f64 a)) (+.f64 1 b))))
	0.3b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	0.6b	(exp.f64 (-.f64 a (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
	23.7b	(-.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 2436 to 1015 computations (58.3% saved)

regimes711.0ms (19.9%)

Accuracy

Total 0.5b remaining (82.5%)

Threshold costs 0.5b (82.5%)

Compiler

Compiled 11127 to 6944 computations (37.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	23	17
4	24	17
5	23	17

end1.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

sample622.0ms (17.4%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
26.0ms	683×	body	128	overflowed

Compiler

Compiled 90 to 60 computations (33.3% saved)

Details

analyze97.0ms (2.7%)

sample17.0ms (0.5%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite75.0ms (2.1%)

series77.0ms (2.2%)

simplify65.0ms (1.8%)

prune57.0ms (1.6%)

localize8.0ms (0.2%)

rewrite92.0ms (2.6%)

series192.0ms (5.4%)

simplify153.0ms (4.3%)

prune81.0ms (2.3%)

localize6.0ms (0.2%)

rewrite159.0ms (4.4%)

series116.0ms (3.3%)

simplify181.0ms (5.1%)

prune123.0ms (3.5%)

localize10.0ms (0.3%)

rewrite154.0ms (4.3%)

series275.0ms (7.7%)

simplify184.0ms (5.2%)

prune91.0ms (2.6%)

regimes711.0ms (19.9%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample622.0ms (17.4%)

Profiling