Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 1.0 x) z)
29.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify99.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune68.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite22.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
148.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
148.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
143.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify171.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	314	1273
1	1031	1192
2	4998	1084
3	5001	1084

prune235.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
7.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
4.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
4.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
150.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
151.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
145.0ms	(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))

simplify66.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	248	862
1	636	812
2	2383	772
3	5002	768

prune263.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample436.0ms

Algorithm

intervals

Results

233.0ms

10106×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4