Details

analyze75.0ms (2.9%)

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 9 to 7 computations (22.2% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	20×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify161.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 1.3b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3488`
12×	`times-frac_binary64_3494`
11×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
5×	`distribute-lft-out_binary64_3439`
4×	`associate-/r*_binary64_3432` `add-cbrt-cube_binary64_3524` `add-log-exp_binary64_3527`
3×	`add-exp-log_binary64_3526` `associate-/l*_binary64_3433`
2×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `pow1_binary64_3549`
1×	`clear-num_binary64_3487` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

2 → 45

Calls

2 calls:

9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series122.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
35.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5503	899

prune41.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.9b

Counts

52 → 4

Compiler

Compiled 765 to 180 computations (76.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite41.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_3488`
36×	`exp-prod_binary64_3540` `times-frac_binary64_3494`
30×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
19×	`log-pow_binary64_3577`
11×	`distribute-lft-out_binary64_3439`
7×	`add-log-exp_binary64_3527`
6×	`add-cbrt-cube_binary64_3524` `associate-/r/_binary64_3434`
5×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
4×	`associate-/r*_binary64_3432` `flip-+_binary64_3462` `flip3-+_binary64_3491`
3×	`log-prod_binary64_3574` `associate-/l*_binary64_3433` `div-inv_binary64_3485`
1×	`rem-log-exp_binary64_3529` `clear-num_binary64_3487` `rem-exp-log_binary64_3528` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522`

Counts

4 → 101

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
9.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series405.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
116.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
95.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5673	1915

prune81.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.9b

Counts

117 → 4

Compiler

Compiled 1941 to 403 computations (79.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
0.0b	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
1.2b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))

rewrite49.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64_3519` `*-un-lft-identity_binary64_3488`
51×	`times-frac_binary64_3494`
44×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
24×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
17×	`associate-/r*_binary64_3432`
13×	`distribute-lft-out_binary64_3439`
6×	`unpow3_binary64_3554` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `cube-div_binary64_3517` `add-log-exp_binary64_3527` `sqr-pow_binary64_3460` `cube-mult_binary64_3518`
5×	`pow1_binary64_3549`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `cbrt-div_binary64_3520`
3×	`associate-/l*_binary64_3433` `pow-unpow_binary64_3565`
2×	`associate-/r/_binary64_3434`
1×	`pow-exp_binary64_3556` `clear-num_binary64_3487` `rem-cube-cbrt_binary64_3511` `+-commutative_binary64_3418` `pow-to-exp_binary64_3557` `rem-cbrt-cube_binary64_3512` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `pow1/3_binary64_3570` `pow-pow_binary64_3560` `div-inv_binary64_3485`

Counts

4 → 149

Calls

4 calls:

14.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
7.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series246.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
90.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
34.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
31.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	3204
1	4953	3204

prune120.0ms (4.7%)

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

Merged error: 0.9b

Counts

165 → 4

Compiler

Compiled 2727 to 842 computations (69.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3488`
15×	`times-frac_binary64_3494`
12×	`distribute-lft-out_binary64_3439`
11×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
5×	`associate-/r*_binary64_3432`
3×	`add-cbrt-cube_binary64_3524` `associate-/l*_binary64_3433`
2×	`add-exp-log_binary64_3526` `associate-/r/_binary64_3434`
1×	`clear-num_binary64_3487` `flip-+_binary64_3462` `flip3-+_binary64_3491` `frac-2neg_binary64_3499` `add-log-exp_binary64_3527` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `pow1_binary64_3549` `div-inv_binary64_3485`

Counts

1 → 37

Calls

1 calls:

9.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series119.0ms (4.7%)

Counts

1 → 3

Calls

1 calls:

119.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5027	714

prune30.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.9b

Counts

44 → 4

Compiler

Compiled 578 to 317 computations (45.2% saved)

regimes99.0ms (3.9%)

Compiler: Compiled 716 to 514 computations (28.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample605.0ms (23.7%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	128	valid
17.0ms	665×	body	128	overflowed

Compiler

Compiled 140 to 105 computations (25% saved)

Details

analyze75.0ms (2.9%)

sample19.0ms (0.7%)

simplify161.0ms (6.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite20.0ms (0.8%)

series122.0ms (4.8%)

simplify63.0ms (2.4%)

prune41.0ms (1.6%)

localize9.0ms (0.3%)

rewrite41.0ms (1.6%)

series405.0ms (15.8%)

simplify75.0ms (2.9%)

prune81.0ms (3.2%)

localize11.0ms (0.4%)

rewrite49.0ms (1.9%)

series246.0ms (9.6%)

simplify85.0ms (3.3%)

prune120.0ms (4.7%)

localize6.0ms (0.2%)

rewrite12.0ms (0.5%)

series119.0ms (4.7%)

simplify52.0ms (2%)

prune30.0ms (1.2%)

regimes99.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample605.0ms (23.7%)

Profiling