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)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	58×	body	1280	valid
7.0ms	61×	body	640	valid
2.0ms	29×	body	320	valid
2.0ms	93×	body	80	valid
1.0ms	15×	body	160	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

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: 38.9b

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)
4.2b	(-.f64 (exp.f64 x) 1)

rewrite20.0ms (0.7%)

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:

9.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
8.0ms	(-.f64 (exp.f64 x) 1)

series63.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms	(-.f64 (exp.f64 x) 1)

simplify96.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4941	1032
1	4941	1032

prune73.0ms (2.6%)

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: 0.1b

Counts

70 → 4

Compiler

Compiled 901 to 498 computations (44.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite13.0ms (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)

series99.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

76.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
23.0ms	(*.f64 x 1/6)

simplify148.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4910	458
1	4910	458

prune40.0ms (1.4%)

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: 0.1b

Counts

52 → 4

Compiler

Compiled 677 to 528 computations (22% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(-.f64 (exp.f64 x) 1)

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`difference-of-squares_binary64`
7×	`cbrt-prod_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 66

Calls

4 calls:

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

series209.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
18.0ms	(-.f64 (exp.f64 x) 1)
16.0ms	(-.f64 (exp.f64 x) 1)
14.0ms	(-.f64 (exp.f64 x) 1)

simplify107.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4962	883
1	4962	883

prune94.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	78	4	82

Merged error: 0.1b

Counts

82 → 4

Compiler

Compiled 1899 to 1237 computations (34.9% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
4.1b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.2b	(-.f64 (exp.f64 x) 1)
4.2b	(-.f64 (exp.f64 x) 1)

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
14×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
7×	`difference-of-sqr-1_binary64` `cbrt-prod_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 75

Calls

4 calls:

9.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))

series249.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
58.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
17.0ms	(-.f64 (exp.f64 x) 1)
17.0ms	(-.f64 (exp.f64 x) 1)

simplify126.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5067	1141

prune144.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0.1b

Counts

91 → 4

Compiler

Compiled 3137 to 2057 computations (34.4% saved)

regimes34.0ms (1.2%)

Compiler: Compiled 196 to 148 computations (24.5% saved)

bsearch15.0ms (0.5%)

Steps

Iters	Range		Point
6	-0.0003351884735819183	-6.470869694354116e-05	-0.0001507114205570198

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	52	95
1	52	95

end0.0ms (0%)

sample1.1s (39.7%)

Algorithm

1×

intervals

Results

430.0ms	2250×	body	1280	valid
217.0ms	1716×	body	640	valid
73.0ms	2791×	body	80	valid
71.0ms	831×	body	320	valid
23.0ms	412×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 179 to 133 computations (25.7% saved)

Details

analyze4.0ms (0.1%)

sample29.0ms (1%)

simplify33.0ms (1.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite20.0ms (0.7%)

series63.0ms (2.3%)

simplify96.0ms (3.4%)

prune73.0ms (2.6%)

localize5.0ms (0.2%)

rewrite13.0ms (0.4%)

series99.0ms (3.5%)

simplify148.0ms (5.3%)

prune40.0ms (1.4%)

localize8.0ms (0.3%)

rewrite26.0ms (0.9%)

series209.0ms (7.4%)

simplify107.0ms (3.8%)

prune94.0ms (3.4%)

localize17.0ms (0.6%)

rewrite27.0ms (1%)

series249.0ms (8.9%)

simplify126.0ms (4.5%)

prune144.0ms (5.1%)

regimes34.0ms (1.2%)

bsearch15.0ms (0.5%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample1.1s (39.7%)

Profiling