Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Filtered

1 candidates to 0 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: 2.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.2b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

9.0ms	(* (- 1.0 y) z)
5.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
46.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune91.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.2b	(* (* x z) (- y 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms	(* (* x z) (- y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune73.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* x z) (- y 1.0))
6.2b	(cbrt (* (* x z) (- y 1.0)))
6.2b	(cbrt (* (* x z) (- y 1.0)))
6.2b	(cbrt (* (* x z) (- y 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

7.0ms	(* (* x z) (- y 1.0))
5.0ms	(cbrt (* (* x z) (- y 1.0)))
6.0ms	(cbrt (* (* x z) (- y 1.0)))
5.0ms	(cbrt (* (* x z) (- y 1.0)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x z) (- y 1.0))
194.0ms	(cbrt (* (* x z) (- y 1.0)))
194.0ms	(cbrt (* (* x z) (- y 1.0)))
197.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune215.0ms

Filtered

71 candidates to 55 candidates (77.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* x z) (- y 1.0))
6.2b	(cbrt (* (* x z) (- y 1.0)))
6.2b	(cbrt (* (* x z) (- y 1.0)))
8.4b	(cbrt (* x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

7.0ms	(* (* x z) (- y 1.0))
5.0ms	(cbrt (* (* x z) (- y 1.0)))
6.0ms	(cbrt (* (* x z) (- y 1.0)))
2.0ms	(cbrt (* x z))

series525.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x z) (- y 1.0))
208.0ms	(cbrt (* (* x z) (- y 1.0)))
200.0ms	(cbrt (* (* x z) (- y 1.0)))
70.0ms	(cbrt (* x z))

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	393	587
1	1460	520
2	5001	508

prune217.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

regimes291.0ms

Accuracy

81.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch81.0ms

Steps

Iters	Range		Point
10	1.5157185685756973e-58	9.237882549513541e-45	3.853320408085223e-45
7	-5.930063079037313e+111	-2.3959562071951913e+109	-2.454359125995216e+109

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample490.0ms

Algorithm

intervals

Results

285.0ms

10158×

body

valid