Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

397×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune7.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
3.6b	(* (* a z) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
21×	`associate-l`
14×	`add-sqr-sqrt`
12×	`distribute-lft-out`
10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-r`
4×	`sum-log` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+l+` `flip3-+` `*-commutative` `flip-+`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ x (* y z))
12.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series115.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y z))
51.0ms	(+ (+ x (* y z)) (* t a))
38.0ms	(* (* a z) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	292	295
1	1181	271
2	5002	271

prune136.0ms

Filtered

73 candidates to 53 candidates (27.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.8b	(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

175×	`add-sqr-sqrt`
108×	`unswap-sqr`
63×	`cbrt-prod`
61×	`add-cbrt-cube`
59×	`associate-l`
57×	`cbrt-unprod`
52×	`associate-r`
25×	`pow1` `add-exp-log`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-prod-down` `prod-exp`
14×	`swap-sqr`
8×	`*-commutative`
4×	`add-log-exp`
3×	`pow1/3`

Counts

4 → 161

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
37.0ms	(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

series621.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt z)
184.0ms	(cbrt z)
190.0ms	(cbrt z)
48.0ms	(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

simplify118.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	651	1597
1	3263	1246
2	5002	1166

prune554.0ms

Filtered

173 candidates to 110 candidates (36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	172	5	177

Merged error: 0.0b

Counts

177 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.6b	(* (* a b) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
21×	`associate-l`
14×	`add-sqr-sqrt`
12×	`distribute-lft-out`
10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-r`
4×	`sum-log` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+l+` `flip3-+` `*-commutative` `flip-+`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ x (* y z))
13.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(* (* a b) z)

series98.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a b) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	293	295
1	1202	271
2	5001	270

prune139.0ms

Filtered

73 candidates to 54 candidates (26.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* a b) z)
15.3b	(cbrt (* (* a b) z))
15.3b	(cbrt (* (* a b) z))
15.3b	(cbrt (* (* a b) z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
60×	`associate-l`
51×	`add-sqr-sqrt`
24×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`*-commutative`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

7.0ms	(* (* a b) z)
8.0ms	(cbrt (* (* a b) z))
8.0ms	(cbrt (* (* a b) z))
10.0ms	(cbrt (* (* a b) z))

series310.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a b) z)
93.0ms	(cbrt (* (* a b) z))
95.0ms	(cbrt (* (* a b) z))
96.0ms	(cbrt (* (* a b) z))

simplify103.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	259	741
1	970	693
2	3715	684
3	5001	656

prune386.0ms

Filtered

133 candidates to 112 candidates (15.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	133	6	139

Merged error: 0.0b

Counts

139 → 6

regimes205.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample834.0ms

Algorithm

intervals

Results

429.0ms

11808×

body

valid