Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample40.0ms

Algorithm

intervals

Results

13.0ms	256×	body	128	valid
7.0ms	143×	body	128	invalid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5233	31

prune2.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
0.0b	(*.f64 (-.f64 t 1) a)
0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
20×	`associate-l_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
9×	`add-log-exp_binary64` `associate-r_binary64`
8×	`flip3--_binary64` `flip--_binary64`
5×	`difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64` `frac-sub_binary64`
3×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64`
1×	`associate--l-_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
9.0ms	(*.f64 (-.f64 t 1) a)
7.0ms	(*.f64 (-.f64 y 1) z)
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

series283.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
36.0ms	(*.f64 (-.f64 t 1) a)
40.0ms	(*.f64 (-.f64 y 1) z)
45.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify87.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5014	1563

prune97.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

series1.0s

Counts

4 → 12

Calls

4 calls:

331.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b)))
236.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
232.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))
237.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2) b))

simplify85.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4854	1675
1	4854	1675

prune121.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
3.1b	(*.f64 a (-.f64 (pow.f64 t 3) 1))
12.8b	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64` `difference-of-squares_binary64`
8×	`pow1_binary64`
4×	`associate-*r/_binary64` `difference-of-sqr-1_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 96

Calls

4 calls:

9.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
13.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
18.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))
44.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
119.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
220.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))

simplify60.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5100	1636

prune131.0ms

Filtered

75 candidates to 108 candidates (-44.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t 1) a)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.1b	(*.f64 (-.f64 y 1) (sqrt.f64 z))
0.2b	(.f64 (.f64 (-.f64 y 1) (sqrt.f64 z)) (sqrt.f64 z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
18×	`associate-r_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
10×	`associate-*l/_binary64`
7×	`sqrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`difference-of-sqr-1_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 98

Calls

4 calls:

7.0ms	(*.f64 (-.f64 t 1) a)
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
9.0ms	(*.f64 (-.f64 y 1) (sqrt.f64 z))
11.0ms	(.f64 (.f64 (-.f64 y 1) (sqrt.f64 z)) (sqrt.f64 z))

series186.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 (-.f64 t 1) a)
45.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
53.0ms	(*.f64 (-.f64 y 1) (sqrt.f64 z))
50.0ms	(.f64 (.f64 (-.f64 y 1) (sqrt.f64 z)) (sqrt.f64 z))

simplify69.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	1247
1	4949	1247

prune89.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Merged error: 0.0b

Counts

114 → 4

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	187	31
1	187	31

end0.0ms

sample1.1s

Algorithm

intervals

Results

426.0ms	7996×	body	128	valid
238.0ms	4477×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Details

analyze1.5s

sample40.0ms

simplify108.0ms

prune2.0ms

localize15.0ms

rewrite42.0ms

series283.0ms

simplify87.0ms

prune97.0ms

localize19.0ms

rewrite50.0ms

series1.0s

simplify85.0ms

prune121.0ms

localize23.0ms

rewrite65.0ms

series401.0ms

simplify60.0ms

prune131.0ms

localize16.0ms

rewrite46.0ms

series186.0ms

simplify69.0ms

prune89.0ms

regimes107.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.1s

Profiling