Details

analyze232.0ms (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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

valid

simplify157.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (154.0ms)

Iter	Nodes	Cost
0	4698	12
1	4698	12

prune6.0ms (0.2%)

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: 4.1b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
0.0b	(*.f64 1.1283791670955126 (exp.f64 z))
1.5b	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))
7.6b	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
7.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))
5.0ms	(*.f64 1.1283791670955126 (exp.f64 z))
5.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))

series62.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y)))
15.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))))
14.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 x y))
3.0ms	(*.f64 1.1283791670955126 (exp.f64 z))

simplify57.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5425	1001

prune109.0ms (4.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
0.0b	(*.f64 1.1283791670955126 (exp.f64 z))
0.0b	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
0.2b	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)

rewrite42.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r*_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `1-exp_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

15.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
10.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
8.0ms	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)
5.0ms	(*.f64 1.1283791670955126 (exp.f64 z))

series48.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x))
15.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y) x)))
7.0ms	(/.f64 (*.f64 1.1283791670955126 (exp.f64 z)) y)
3.0ms	(*.f64 1.1283791670955126 (exp.f64 z))

simplify66.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4955	1162
1	4955	1162

prune124.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
0.0b	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
0.2b	(/.f64 y (exp.f64 z))

rewrite72.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
15×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
3×	`div-inv_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 104

Calls

4 calls:

26.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
19.0ms	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
19.0ms	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
5.0ms	(/.f64 y (exp.f64 z))

series61.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x))
16.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)))
12.0ms	(-.f64 (/.f64 1.1283791670955126 (/.f64 y (exp.f64 z))) x)
9.0ms	(/.f64 y (exp.f64 z))

simplify58.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5168	1529

prune129.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))
3.7b	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
7.6b	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
25.3b	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))

rewrite57.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
17×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `prod-exp_binary64`

Counts

4 → 120

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))
16.0ms	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
8.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
5.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))

series136.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))) (-.f64 x (/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (*.f64 y x)))))
44.0ms	(/.f64 y (.f64 (-.f64 (/.f64 (.f64 1.1283791670955126 (exp.f64 z)) y) x) (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))))
28.0ms	(/.f64 y (-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x)))
16.0ms	(-.f64 (.f64 1.1283791670955126 (exp.f64 z)) (.f64 y x))

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5153	4220

prune226.0ms (8.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes289.0ms (11.2%)

Accuracy

Total 0.0b remaining (89.2%)

Threshold costs 0.0b (89.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms (0%)

sample499.0ms (19.4%)

Algorithm

1×

intervals

Results

328.0ms

8000×

body

valid

Details

analyze232.0ms (9%)

sample19.0ms (0.7%)

simplify157.0ms (6.1%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite30.0ms (1.2%)

series62.0ms (2.4%)

simplify57.0ms (2.2%)

prune109.0ms (4.2%)

localize9.0ms (0.3%)

rewrite42.0ms (1.6%)

series48.0ms (1.9%)

simplify66.0ms (2.6%)

prune124.0ms (4.8%)

localize9.0ms (0.3%)

rewrite72.0ms (2.8%)

series61.0ms (2.4%)

simplify58.0ms (2.3%)

prune129.0ms (5%)

localize20.0ms (0.8%)

rewrite57.0ms (2.2%)

series136.0ms (5.3%)

simplify47.0ms (1.8%)

prune226.0ms (8.8%)

regimes289.0ms (11.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample499.0ms (19.4%)

Profiling