Details

sample95.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

51.0ms

586×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune8.0ms

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: 11.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.2b	(* j (- (* c t) (* i y)))
4.3b	(* b (- (* c z) (* i a)))
5.4b	(* x (- (* y z) (* t a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

11.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

444.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
18.0ms	(* j (- (* c t) (* i y)))
20.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	958	1832
1	5002	1770

prune261.0ms

Filtered

81 candidates to 119 candidates (-46.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	101	18	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	18	120

Merged error: 4.0b

Counts

120 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
8.1b	(cbrt (* j (- (* c t) (* i y))))
8.1b	(cbrt (* j (- (* c t) (* i y))))
8.1b	(cbrt (* j (- (* c t) (* i y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
43.0ms	(cbrt (* j (- (* c t) (* i y))))
42.0ms	(cbrt (* j (- (* c t) (* i y))))
43.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify109.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	312	554
1	1122	501
2	4353	492
3	5002	486

prune188.0ms

Filtered

56 candidates to 69 candidates (-23.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	70	17	87

Merged error: 4.0b

Counts

87 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* c z) (* i a)))
4.9b	(cbrt (- (* c z) (* i a)))
4.9b	(cbrt (- (* c z) (* i a)))
5.4b	(* x (- (* y z) (* t a)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
3.0ms	(cbrt (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- (* c z) (* i a)))
39.0ms	(cbrt (- (* c z) (* i a)))
37.0ms	(cbrt (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	312	602
1	1075	555
2	3853	543
3	5001	534

prune185.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	75	17	92

Merged error: 4.0b

Counts

92 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt b) (- (* c z) (* i a)))
2.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
4.2b	(* j (- (* c t) (* i y)))
5.4b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (cbrt b) (- (* c z) (* i a)))
11.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.0ms	(* j (- (* c t) (* i y)))
7.0ms	(* x (- (* y z) (* t a)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (cbrt b) (- (* c z) (* i a)))
25.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
18.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* x (- (* y z) (* t a)))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	591	987
1	2501	780
2	5002	717

prune95.0ms

Filtered

71 candidates to 120 candidates (-69.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	15	15
Picked	1	0	1
Done	0	1	1
Total	119	18	137

Merged error: 3.5b

Counts

137 → 18

regimes2.1s

Accuracy

56.5% (3.9b remaining)

Error of 7.7b against oracle of 3.8b and baseline of 12.7b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	61
1	66	61

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.6s

19141×

body

valid

Details

sample95.0ms

simplify79.0ms

prune8.0ms

localize20.0ms

rewrite31.0ms

series501.0ms

simplify44.0ms

prune261.0ms

localize25.0ms

rewrite20.0ms

series146.0ms

simplify109.0ms

prune188.0ms

localize24.0ms

rewrite19.0ms

series131.0ms

simplify101.0ms

prune185.0ms

localize24.0ms

rewrite33.0ms

series127.0ms

simplify66.0ms

prune95.0ms

regimes2.1s

bsearch3.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling