Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

362×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.6b	(* (* a z) b)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (+ x (* y z)) (* t a))
2.0ms	(+ x (* y z))
7.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series55.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ x (* y z))
26.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(* (* a z) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune84.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt b)
0.7b	(cbrt b)
1.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
12.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
11.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt b)
22.0ms	(cbrt b)
9.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
25.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	308	573
1	1316	444
2	5001	385

prune86.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt b)
0.7b	(cbrt b)
1.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
3.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1` `add-exp-log`
39×	`pow-prod-down` `prod-exp` `cbrt-unprod`
35×	`add-cbrt-cube`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
15.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt b)
22.0ms	(cbrt b)
9.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
25.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	374	1005
1	1565	762
2	5001	707

prune79.0ms

Filtered

47 candidates to 96 candidates (-104.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ t (* z b))
2.2b	(* a (+ t (* z b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`sum-log`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*r/`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

5.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.0ms	(+ t (* z b))
5.0ms	(* a (+ t (* z b)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
6.0ms	(+ t (* z b))
15.0ms	(* a (+ t (* z b)))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	273	310
1	1168	276
2	5002	276

prune54.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

regimes440.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

548.0ms

11946×

body

valid

Details

sample38.0ms

simplify11.0ms

prune17.0ms

localize10.0ms

rewrite21.0ms

series55.0ms

simplify47.0ms

prune84.0ms

localize14.0ms

rewrite27.0ms

series82.0ms

simplify44.0ms

prune86.0ms

localize21.0ms

rewrite29.0ms

series80.0ms

simplify54.0ms

prune79.0ms

localize9.0ms

rewrite13.0ms

series49.0ms

simplify37.0ms

prune54.0ms

regimes440.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling