Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

304×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	12	2
2	15	2
3	16	2
4	16	2

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: 6.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.4b	(/ (* x y) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

5.0ms

(/ (* x y) z)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ (* x y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	113	91
1	516	76
2	2473	76
3	5002	76

prune55.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	19	7	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize8.0ms

Local error

Found 1 expressions with local error:

6.4b	(* 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:

7.0ms

(* x (/ y z))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify84.0ms

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

prune78.0ms

Filtered

37 candidates to 24 candidates (64.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	35	9	44

Merged error: 0.0b

Counts

44 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.6b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite20.0ms

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:

2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series708.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt z)
201.0ms	(cbrt z)
204.0ms	(cbrt z)
106.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (49.0ms)

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

prune238.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.3b	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
20.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series684.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt y)
211.0ms	(cbrt y)
212.0ms	(cbrt y)
49.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify74.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	360	607
1	2037	471
2	5002	432

prune225.0ms

Filtered

100 candidates to 76 candidates (76.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	99	11	110

Merged error: 0.0b

Counts

110 → 11

regimes241.0ms

Accuracy

15.3% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end0.0ms

sample427.0ms

Algorithm

intervals

Results

228.0ms

9634×

body

valid