Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample31.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	65×	body	1280	valid
8.0ms	64×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	14×	body	160	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify26.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	169	9
1	169	9

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: 40.9b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.9b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 61

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series8.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.0ms	(-.f64 (exp.f64 x) 1)

simplify92.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4968	1013
1	4968	1013

prune50.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0.1b

Counts

68 → 3

Compiler

Compiled 865 to 475 computations (45.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series11.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
2.0ms	(*.f64 x 1/6)

simplify76.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5039	440

prune31.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.1b

Counts

49 → 3

Compiler

Compiled 646 to 507 computations (21.5% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.3b	(*.f64 x 1/6)
4.0b	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`log-prod_binary64`
4×	`add-log-exp_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `exp-to-pow_binary64` `flip-+_binary64` `exp-prod_binary64`

Counts

3 → 56

Calls

3 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
4.0ms	(*.f64 x 1/6)
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

series16.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))
6.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
2.0ms	(*.f64 x 1/6)

simplify87.0ms (4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4922	671
1	4922	671

prune48.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0.1b

Counts

68 → 4

Compiler

Compiled 1000 to 809 computations (19.1% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/6)
0.3b	(*.f64 x 1/6)
3.9b	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
3.9b	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`log-prod_binary64` `add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `cbrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `exp-sum_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(*.f64 x 1/6)
4.0ms	(*.f64 x 1/6)
3.0ms	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
3.0ms	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))

series90.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
41.0ms	(log.f64 (cbrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
2.0ms	(*.f64 x 1/6)
2.0ms	(*.f64 x 1/6)

simplify102.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5006	1106

prune101.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	83	5	88

Merged error: 0.1b

Counts

88 → 5

Compiler

Compiled 2446 to 2052 computations (16.1% saved)

regimes28.0ms (1.3%)

Compiler: Compiled 118 to 101 computations (14.4% saved)

bsearch8.0ms (0.4%)

Steps

Iters	Range		Point
5	-0.00018362053221670534	-6.805615557021966e-05	-0.0001756715384553179

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	54
1	37	54

end0.0ms (0%)

sample1.3s (58.6%)

Algorithm

1×

intervals

Results

442.0ms	2271×	body	1280	valid
218.0ms	1714×	body	640	valid
73.0ms	842×	body	320	valid
69.0ms	2779×	body	80	valid
21.0ms	394×	body	160	valid

Compiler

Compiled 179 to 147 computations (17.9% saved)

Details

analyze4.0ms (0.2%)

sample31.0ms (1.4%)

simplify26.0ms (1.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite14.0ms (0.6%)

series8.0ms (0.4%)

simplify92.0ms (4.2%)

prune50.0ms (2.3%)

localize5.0ms (0.2%)

rewrite11.0ms (0.5%)

series11.0ms (0.5%)

simplify76.0ms (3.5%)

prune31.0ms (1.4%)

localize10.0ms (0.5%)

rewrite15.0ms (0.7%)

series16.0ms (0.7%)

simplify87.0ms (4%)

prune48.0ms (2.2%)

localize11.0ms (0.5%)

rewrite16.0ms (0.7%)

series90.0ms (4.1%)

simplify102.0ms (4.7%)

prune101.0ms (4.6%)

regimes28.0ms (1.3%)

bsearch8.0ms (0.4%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.3s (58.6%)

Profiling