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	80	valid
6.0ms	120×	body	80	invalid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5230	21

prune4.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/_binary64`
23×	`flip3--_binary64` `flip--_binary64`
18×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
12×	`frac-add_binary64` `frac-sub_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`diff-log_binary64` `associate-r_binary64`
4×	`sub-neg_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 93

Calls

4 calls:

7.0ms	(*.f64 (-.f64 t 1) a)
14.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

series83.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 t 1) a)
45.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
26.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4936	2520
1	4936	2520

prune110.0ms

Filtered

78 candidates to 105 candidates (-34.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))
0.3b	(cbrt.f64 (-.f64 t 1))
0.3b	(cbrt.f64 (-.f64 t 1))
0.3b	(cbrt.f64 (-.f64 t 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod_binary64`
55×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
16×	`difference-of-squares_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))
4.0ms	(cbrt.f64 (-.f64 t 1))
4.0ms	(cbrt.f64 (-.f64 t 1))
4.0ms	(cbrt.f64 (-.f64 t 1))

series33.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (-.f64 t 1)) (cbrt.f64 (-.f64 t 1)))
7.0ms	(cbrt.f64 (-.f64 t 1))
8.0ms	(cbrt.f64 (-.f64 t 1))
8.0ms	(cbrt.f64 (-.f64 t 1))

simplify64.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4908	1307
1	4908	1307

prune127.0ms

Filtered

88 candidates to 127 candidates (-44.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

localize17.0ms

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 (+.f64 y t) 2) b)
0.3b	(pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3)
33.6b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64` `cbrt-prod_binary64`
6×	`associate-l_binary64`
4×	`cube-div_binary64` `frac-sub_binary64`
3×	`pow-unpow_binary64` `diff-log_binary64` `associate-r_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
10.0ms	(pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3)
6.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3))

series65.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
29.0ms	(pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 (+.f64 y t) 2) b) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4985	1239
1	4985	1239

prune74.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
19×	`associate-l_binary64`
14×	`sqrt-div_binary64`
13×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `sqrt-prod_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-*r/_binary64`
9×	`add-log-exp_binary64`
8×	`associate-*l/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64` `frac-sub_binary64` `frac-times_binary64`
3×	`diff-log_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64`
1×	`associate--l-_binary64` `difference-of-sqr-1_binary64` `associate--l+_binary64`

Counts

4 → 101

Calls

4 calls:

7.0ms	(*.f64 (-.f64 t 1) a)
9.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
11.0ms	(*.f64 b (sqrt.f64 (-.f64 (+.f64 y t) 2)))
18.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 y t) 2)) (.f64 b (sqrt.f64 (-.f64 (+.f64 y t) 2))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (-.f64 t 1) a)
23.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
17.0ms	(*.f64 b (sqrt.f64 (-.f64 (+.f64 y t) 2)))
27.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 y t) 2)) (.f64 b (sqrt.f64 (-.f64 (+.f64 y t) 2))))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4980	1492
1	4980	1492

prune85.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

regimes431.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	186	21
1	186	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

437.0ms	7995×	body	80	valid
260.0ms	4591×	body	80	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.5s

sample40.0ms

simplify92.0ms

prune4.0ms

localize14.0ms

rewrite42.0ms

series83.0ms

simplify71.0ms

prune110.0ms

localize18.0ms

rewrite30.0ms

series33.0ms

simplify64.0ms

prune127.0ms

localize17.0ms

rewrite35.0ms

series65.0ms

simplify44.0ms

prune74.0ms

localize16.0ms

rewrite49.0ms

series72.0ms

simplify53.0ms

prune85.0ms

regimes431.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.1s

Profiling