Details

analyze4.0ms (0.1%)

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)

sample36.0ms (1.2%)

Algorithm

1×

intervals

Results

16.0ms	81×	body	1280	valid
8.0ms	57×	body	640	valid
5.0ms	90×	body	80	valid
2.0ms	21×	body	320	valid
0.0ms	7×	body	160	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	167	9
1	167	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: 39.6b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
1.4b	(-.f64 (exp.f64 x) 1)

rewrite16.0ms (0.5%)

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` `insert-posit16` `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 → 63

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series74.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
18.0ms	(-.f64 (exp.f64 x) 1)

simplify128.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5210	1032

prune68.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0b

Counts

70 → 4

Compiler

Compiled 883 to 487 computations (44.8% saved)

localize6.0ms (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)

rewrite12.0ms (0.4%)

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` `insert-posit16` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

2 → 42

Calls

2 calls:

7.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
5.0ms	(*.f64 x 1/6)

series103.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
22.0ms	(*.f64 x 1/6)

simplify165.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4844	458
1	4844	458

prune41.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

Compiler

Compiled 659 to 517 computations (21.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
0.9b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
23×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `div-inv_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `distribute-rgt-out--_binary64` `add-exp-log_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `insert-posit16`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

2 → 56

Calls

2 calls:

17.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
5.0ms	(/.f64 (exp.f64 x) x)

series75.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
32.0ms	(/.f64 (exp.f64 x) x)

simplify193.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	4804	873
1	4804	873

prune41.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

Compiler

Compiled 832 to 391 computations (53% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.0b	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)) x)
0.0b	(pow.f64 (exp.f64 x) 2)
1.4b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite66.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

274×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64`
156×	`add-sqr-sqrt_binary64`
112×	`add-cube-cbrt_binary64`
88×	`difference-of-sqr--1_binary64`
63×	`distribute-lft-out_binary64`
46×	`associate-/l*_binary64`
25×	`unpow-prod-down_binary64`
23×	`unpow2_binary64` `sqr-pow_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64` `insert-posit16`
3×	`associate-/l/_binary64` `pow-unpow_binary64` `exp-prod_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-to-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 271

Calls

4 calls:

22.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)) x)
15.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
7.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(pow.f64 (exp.f64 x) 2)

series305.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)) x)
98.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
38.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
27.0ms	(pow.f64 (exp.f64 x) 2)

simplify165.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4908	7340
1	4908	7340

prune344.0ms (11.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Merged error: 0b

Counts

287 → 4

Compiler

Compiled 6088 to 3740 computations (38.6% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 40 to 33 computations (17.5% saved)

bsearch14.0ms (0.4%)

Steps

Iters	Range		Point
7	-0.0008549085941141193	-5.985194009269649e-06	-0.0001530799283404861

Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	39
1	29	39

end0.0ms (0%)

sample1.1s (36.2%)

Algorithm

1×

intervals

Results

463.0ms	2266×	body	1280	valid
225.0ms	1677×	body	640	valid
79.0ms	859×	body	320	valid
77.0ms	2821×	body	80	valid
22.0ms	377×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 93 to 73 computations (21.5% saved)

Details

analyze4.0ms (0.1%)

sample36.0ms (1.2%)

simplify32.0ms (1.1%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite16.0ms (0.5%)

series74.0ms (2.4%)

simplify128.0ms (4.2%)

prune68.0ms (2.2%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series103.0ms (3.3%)

simplify165.0ms (5.4%)

prune41.0ms (1.3%)

localize6.0ms (0.2%)

rewrite24.0ms (0.8%)

series75.0ms (2.4%)

simplify193.0ms (6.3%)

prune41.0ms (1.3%)

localize11.0ms (0.3%)

rewrite66.0ms (2.2%)

series305.0ms (9.9%)

simplify165.0ms (5.4%)

prune344.0ms (11.2%)

regimes18.0ms (0.6%)

bsearch14.0ms (0.4%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample1.1s (36.2%)

Profiling