Details

analyze10.0ms

Algorithm

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

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4899	19
1	4899	19

prune3.0ms

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

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)))))

rewrite33.0ms

Algorithm

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

series30.0ms

Counts

4 → 12

Calls

4 calls:

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 0.99229 (*.f64 x 0.04481))
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)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5200	1616

prune131.0ms

Filtered

74 candidates to 101 candidates (-36.5%)

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

localize13.0ms

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)))))

rewrite30.0ms

Algorithm

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:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 0.99229 (*.f64 x 0.04481))
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)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5594	1730

prune198.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

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

localize25.0ms

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)))))

rewrite37.0ms

Algorithm

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)))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

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))
16.0ms	(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)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4977	2435
1	4977	2435

prune239.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

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

localize13.0ms

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)))))

rewrite50.0ms

Algorithm

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:

6.0ms	(.f64 x (+.f64 0.99229 (.f64 x 0.04481)))
16.0ms	(.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))
17.0ms	(.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)))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5068	2179

prune150.0ms

Filtered

85 candidates to 115 candidates (-35.3%)

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

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	21
1	51	21

end0.0ms

sample437.0ms

Algorithm

intervals

Results

352.0ms

8000×

body

valid

Details

analyze10.0ms

sample17.0ms

simplify82.0ms

prune3.0ms

localize12.0ms

rewrite33.0ms

series30.0ms

simplify45.0ms

prune131.0ms

localize13.0ms

rewrite30.0ms

series24.0ms

simplify64.0ms

prune198.0ms

localize25.0ms

rewrite37.0ms

series45.0ms

simplify53.0ms

prune239.0ms

localize13.0ms

rewrite50.0ms

series42.0ms

simplify34.0ms

prune150.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample437.0ms

Profiling