Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 1.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
1.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

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:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 y) z)
49.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

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

prune90.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.7b	(* (* x z) (- y 1.0))

rewrite12.0ms

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))

series113.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms	(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (36.0ms)

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

prune80.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y 1.0))
0.0b	(+ (* x 1.0) (* x (* z (- y 1.0))))
1.8b	(* x (* z (- y 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* z (- y 1.0))
64.0ms	(+ (* x 1.0) (* x (* z (- y 1.0))))
46.0ms	(* x (* z (- y 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	299	388
1	1201	336
2	5001	334

prune126.0ms

Filtered

83 candidates to 47 candidates (56.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
1.9b	(cbrt (- 1.0 (* (- 1.0 y) z)))
1.9b	(cbrt (- 1.0 (* (- 1.0 y) z)))
1.9b	(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z))))
92.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
91.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
96.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	338	1207
1	1092	1138
2	5001	1038

prune275.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

regimes189.0ms

Accuracy

50.3% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample437.0ms

Algorithm

intervals

Results

228.0ms

10064×

body

valid