Details

analyze11.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	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

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

valid

simplify77.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4899	19
1	4899	19

prune4.0ms (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: 0.0b

Counts

2 → 1

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
0.0b	(+.f64 0.99229 (*.f64 x 0.04481))
0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 89

Calls

4 calls:

14.0ms	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
3.0ms	(+.f64 0.99229 (*.f64 x 0.04481))

series31.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
9.0ms	(.f64 0.70711 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x))
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
5.0ms	(+.f64 0.99229 (*.f64 x 0.04481))

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5200	1616

prune164.0ms (7.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 0.99229 (*.f64 x 0.04481))
0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
0.1b	(.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) 0.70711)
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`associate-l_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) 0.70711)
9.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
4.0ms	(+.f64 0.99229 (*.f64 x 0.04481))

series25.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
6.0ms	(.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) 0.70711)
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
4.0ms	(+.f64 0.99229 (*.f64 x 0.04481))

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5594	1730

prune186.0ms (8.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize19.0ms (0.9%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))))) (.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))) 0.70711))
12.4b	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
12.4b	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
12.4b	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))

rewrite39.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-exp-log_binary64`
44×	`prod-exp_binary64`
31×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64`
18×	`cbrt-div_binary64` `cbrt-unprod_binary64`
15×	`associate-l_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
8×	`associate-/r/_binary64`
6×	`1-exp_binary64` `rec-exp_binary64`
5×	`frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64` `pow1/3_binary64` `times-frac_binary64`
1×	`associate-r_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

24.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))))) (.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))) 0.70711))
3.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
3.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
3.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))

series42.0ms (2%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
11.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
11.0ms	(cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))
8.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))))) (.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (cbrt.f64 (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481)))))) 0.70711))

simplify54.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4977	2435
1	4977	2435

prune270.0ms (12.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
0.1b	(.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x) (sqrt.f64 0.70711))
0.1b	(.f64 (sqrt.f64 0.70711) (.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) (sqrt.f64 0.70711)))
12.1b	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

rewrite53.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
13×	`pow1_binary64`
10×	`associate-r_binary64` `times-frac_binary64`
7×	`sqrt-prod_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 103

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x) (sqrt.f64 0.70711))
18.0ms	(.f64 (sqrt.f64 0.70711) (.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) (sqrt.f64 0.70711)))
7.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))
6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))

series39.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 0.70711) (.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481))))) x) (sqrt.f64 0.70711)))
11.0ms	(.f64 (-.f64 (/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (.f64 x 0.04481))))) x) (sqrt.f64 0.70711))
8.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
6.0ms	(/.f64 (+.f64 2.30753 (.f64 x 0.27061)) (+.f64 1.0 (.f64 x (+.f64 0.99229 (*.f64 x 0.04481)))))

simplify34.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5068	2179

prune205.0ms (9.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes63.0ms (2.9%)

Accuracy

Total 0.0b remaining (51.3%)

Threshold costs 0.0b (51.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	21
1	51	21

end0.0ms (0%)

sample632.0ms (29.2%)

Algorithm

1×

intervals

Results

540.0ms

8000×

body

valid

Details

analyze11.0ms (0.5%)

sample16.0ms (0.8%)

simplify77.0ms (3.5%)

prune4.0ms (0.2%)

localize12.0ms (0.6%)

rewrite34.0ms (1.6%)

series31.0ms (1.4%)

simplify44.0ms (2%)

prune164.0ms (7.6%)

localize14.0ms (0.6%)

rewrite32.0ms (1.5%)

series25.0ms (1.2%)

simplify48.0ms (2.2%)

prune186.0ms (8.6%)

localize19.0ms (0.9%)

rewrite39.0ms (1.8%)

series42.0ms (2%)

simplify54.0ms (2.5%)

prune270.0ms (12.5%)

localize14.0ms (0.6%)

rewrite53.0ms (2.4%)

series39.0ms (1.8%)

simplify34.0ms (1.6%)

prune205.0ms (9.5%)

regimes63.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample632.0ms (29.2%)

Profiling