Details

analyze1.4s

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

sample65.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
12.0ms	137×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune5.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y 1.0) z)
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
0.0b	(*.f64 (-.f64 t 1.0) a)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y 1.0) z)
14.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
7.0ms	(*.f64 (-.f64 t 1.0) a)
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

series77.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (-.f64 y 1.0) z)
59.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1.0) z)) (.f64 (-.f64 t 1.0) a)) (*.f64 (-.f64 (+.f64 y t) 2.0) b))
5.0ms	(*.f64 (-.f64 t 1.0) a)
8.0ms	(*.f64 (-.f64 (+.f64 y t) 2.0) b)

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	2369
1	4970	2369

prune154.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 t 1.0) a)) (cbrt.f64 (*.f64 (-.f64 t 1.0) a)))
0.6b	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
0.6b	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
0.6b	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))

rewrite26.0ms

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:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1.0) a)) (cbrt.f64 (*.f64 (-.f64 t 1.0) a)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
5.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
5.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))

series82.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1.0) a)) (cbrt.f64 (*.f64 (-.f64 t 1.0) a)))
21.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
17.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))
18.0ms	(cbrt.f64 (*.f64 (-.f64 t 1.0) a))

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5496	980

prune136.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2.0) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b)))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))

rewrite40.0ms

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:

14.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2.0) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))

series156.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 y t) 2.0) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b)))
35.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
33.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))
33.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 y t) 2.0) b))

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5075	1172

prune149.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2.0)) (cbrt.f64 (-.f64 (+.f64 y t) 2.0))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2.0))))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
26×	`associate-*r/_binary64`
22×	`*-un-lft-identity_binary64`
18×	`cbrt-prod_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
14×	`associate-*l/_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`distribute-lft-out_binary64` `pow1/3_binary64` `difference-of-squares_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

27.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2.0)) (cbrt.f64 (-.f64 (+.f64 y t) 2.0))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2.0))))
6.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
6.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
8.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))

series112.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2.0)) (cbrt.f64 (-.f64 (+.f64 y t) 2.0))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2.0))))
26.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
42.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))
31.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4980	2036
1	4980	2036

prune124.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0b

Counts

114 → 6

regimes497.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	243	36
1	243	36

end0.0ms

sample1.1s

Algorithm

intervals

Results

448.0ms	7999×	body	80	valid
251.0ms	4577×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze1.4s

sample65.0ms

simplify67.0ms

prune5.0ms

localize18.0ms

rewrite41.0ms

series77.0ms

simplify53.0ms

prune154.0ms

localize21.0ms

rewrite26.0ms

series82.0ms

simplify61.0ms

prune136.0ms

localize19.0ms

rewrite40.0ms

series156.0ms

simplify61.0ms

prune149.0ms

localize18.0ms

rewrite52.0ms

series112.0ms

simplify49.0ms

prune124.0ms

regimes497.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.1s

Profiling