Details

analyze97.0ms (2.6%)

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
1.0ms	26×	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

prune2.0ms (0%)

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 (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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)

series82.0ms (2.2%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

41.0ms	(/.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)

simplify63.0ms (1.7%)

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

prune71.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Error

Counts

56 → 5

Alt Table

Status	Error	Program
	11.1b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
	28.2b	(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (.f64 b b) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (+.f64 (.f64 1/6 (/.f64 (.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 b (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))
	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
▶	0.8b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	0.8b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))

Compiler

Compiled 1231 to 562 computations (54.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
3.4b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite108.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

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))))
7.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
6.0ms	(exp.f64 (-.f64 a (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)

series196.0ms (5.3%)

Error

Counts

4 → 48

Calls

4 calls:

47.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
46.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
38.0ms	(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)

simplify120.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

419×	`times-frac_binary64`
261×	`distribute-rgt-in_binary64`
252×	`sub-neg_binary64`
234×	`cancel-sign-sub-inv_binary64`
206×	`distribute-lft-in_binary64`

Counts

122 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	2944
1	630	2730
2	2120	2487
3	4747	2484
4	4986	2484

prune98.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Error

Counts

107 → 4

Alt Table

Status	Error	Program
	0.8b	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
▶	0.4b	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
	15.4b	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) b) (-.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 a) 1))))))))
	1.1b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))

Compiler

Compiled 1658 to 806 computations (51.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 b))
0.0b	(+.f64 1 (exp.f64 b))
0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
0.8b	(log.f64 (+.f64 1 (exp.f64 b)))

rewrite126.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
4.0ms	(+.f64 1 (exp.f64 b))
4.0ms	(log.f64 (+.f64 1 (exp.f64 b)))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 1412 to 879 computations (37.7% saved)

series69.0ms (1.8%)

Error

Counts

4 → 21

Calls

4 calls:

22.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
16.0ms	(log.f64 (+.f64 1 (exp.f64 b)))
8.0ms	(+.f64 1 (exp.f64 b))
6.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 816 to 590 computations (27.7% saved)

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

446×	`associate-+l+_binary64`
426×	`div-sub_binary64`
348×	`associate-/l*_binary64`
323×	`unswap-sqr_binary64`
310×	`distribute-rgt-in_binary64`

Counts

93 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1199
1	223	1109
2	444	1100
3	833	1100
4	1798	1100
5	3765	1100
6	4741	1100
7	5184	1100

prune98.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Alt Table

Status	Error	Program
▶	0.7b	(exp.f64 (-.f64 a (+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))) (/.f64 a (+.f64 1 (exp.f64 b))))))
	0.8b	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	15.4b	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) b) (-.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 a) 1))))))))

Compiler

Compiled 1380 to 883 computations (36% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 b))
0.0b	(/.f64 a (+.f64 1 (exp.f64 b)))
1.3b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
1.3b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))

rewrite127.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`log-prod_binary64`
12×	`times-frac_binary64`
8×	`pow1_binary64` `sqrt-prod_binary64` `add-exp-log_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
4.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 2235 to 1485 computations (33.6% saved)

series102.0ms (2.8%)

Error

Counts

4 → 22

Calls

4 calls:

25.0ms	(/.f64 a (+.f64 1 (exp.f64 b)))
25.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
24.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))
6.0ms	(+.f64 1 (exp.f64 b))

Compiler

Compiled 1548 to 1199 computations (22.5% saved)

simplify128.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

557×	`cancel-sign-sub-inv_binary64`
518×	`associate-/l/_binary64`
396×	`associate-/r*_binary64`
205×	`associate-/r/_binary64`
160×	`sub-neg_binary64`

Counts

107 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1821
1	300	1618
2	683	1515
3	2006	1497
4	4354	1497
5	4892	1497
6	4942	1497

prune75.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Error

Counts

68 → 3

Alt Table

Status	Error	Program
	0.7b	(exp.f64 (-.f64 a (+.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)))) (/.f64 a (+.f64 1 (exp.f64 b))))))
	0.8b	(pow.f64 E.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
	15.4b	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) b) (-.f64 1/2 (/.f64 1/2 (+.f64 (exp.f64 a) 1))))))))

Compiler

Compiled 1638 to 1096 computations (33.1% saved)

regimes1.3s (34.6%)

Accuracy

Total 0.6b remaining (72.3%)

Threshold costs 0.6b (72.3%)

Compiler

Compiled 23015 to 15603 computations (32.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	20	36
2	28	36
3	38	36
4	48	36
5	54	36
6	57	36
7	58	36
8	57	36

end1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

sample631.0ms (17%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	128	valid
16.0ms	691×	body	128	overflowed

Compiler

Compiled 109 to 75 computations (31.2% saved)

Details

analyze97.0ms (2.6%)

sample17.0ms (0.5%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite53.0ms (1.4%)

series82.0ms (2.2%)

simplify63.0ms (1.7%)

prune71.0ms (1.9%)

localize8.0ms (0.2%)

rewrite108.0ms (2.9%)

series196.0ms (5.3%)

simplify120.0ms (3.2%)

prune98.0ms (2.6%)

localize10.0ms (0.3%)

rewrite126.0ms (3.4%)

series69.0ms (1.8%)

simplify119.0ms (3.2%)

prune98.0ms (2.6%)

localize15.0ms (0.4%)

rewrite127.0ms (3.4%)

series102.0ms (2.8%)

simplify128.0ms (3.4%)

prune75.0ms (2%)

regimes1.3s (34.6%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample631.0ms (17%)

Profiling