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
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite48.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

38.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 x (+.f64 x 1))

series89.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
25.0ms	(/.f64 x (+.f64 x 1))

simplify80.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5366	903

prune65.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

Compiler

Compiled 1110 to 818 computations (26.3% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite86.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
20×	`distribute-lft-out_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`exp-prod_binary64`
8×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `rem-exp-log_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`cbrt-undiv_binary64` `frac-add_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

37.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
36.0ms	(exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))
6.0ms	(/.f64 x (+.f64 1 x))

series193.0ms (10.4%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))
66.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
27.0ms	(/.f64 x (+.f64 1 x))

simplify79.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5266	1237

prune83.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0b

Counts

82 → 3

Compiler

Compiled 1510 to 1152 computations (23.7% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 1 x))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))

rewrite133.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
44×	`distribute-lft-out_binary64`
24×	`cbrt-prod_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
3×	`cbrt-div_binary64` `pow-unpow_binary64` `frac-add_binary64` `associate-/l*_binary64`
2×	`sqr-pow_binary64` `associate-/r/_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 125

Calls

4 calls:

39.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
38.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
36.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
6.0ms	(/.f64 x (+.f64 1 x))

series251.0ms (13.6%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
78.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
68.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
23.0ms	(/.f64 x (+.f64 1 x))

simplify88.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4961	2810
1	4961	2810

prune148.0ms (8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

Compiler

Compiled 2708 to 2099 computations (22.5% saved)

regimes18.0ms (1%)

Compiler: Compiled 100 to 84 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms (0%)

sample434.0ms (23.5%)

Algorithm

1×

intervals

Results

247.0ms

8000×

body

128

valid

Compiler

Compiled 61 to 52 computations (14.8% saved)

Details

analyze4.0ms (0.2%)

sample13.0ms (0.7%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite48.0ms (2.6%)

series89.0ms (4.8%)

simplify80.0ms (4.3%)

prune65.0ms (3.5%)

localize10.0ms (0.5%)

rewrite86.0ms (4.6%)

series193.0ms (10.4%)

simplify79.0ms (4.3%)

prune83.0ms (4.5%)

localize9.0ms (0.5%)

rewrite133.0ms (7.2%)

series251.0ms (13.6%)

simplify88.0ms (4.7%)

prune148.0ms (8%)

regimes18.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample434.0ms (23.5%)

Profiling