Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

318×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.9b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.8b	(* x (/ y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(* x (/ y z))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* x (/ y z))

simplify85.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	168	139
1	746	124
2	3155	124
3	5002	124

prune91.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Merged error: 0.0b

Counts

39 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
187.0ms	(cbrt z)
186.0ms	(cbrt z)
82.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	308	503
1	1348	411
2	5001	372

prune244.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt z)
191.0ms	(cbrt z)
183.0ms	(cbrt z)
85.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	308	503
1	1348	411
2	5001	372

prune286.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
25×	`prod-exp` `cbrt-unprod`
24×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`times-frac` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
21.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt z)
195.0ms	(cbrt z)
185.0ms	(cbrt z)
84.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	434	946
1	2163	670
2	5002	557

prune267.0ms

Filtered

90 candidates to 65 candidates (72.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	90	11	101

Merged error: 0.0b

Counts

101 → 11

regimes220.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms

sample508.0ms

Algorithm

intervals

Results

270.0ms

9592×

body

valid