Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	13	2
3	14	2
4	14	2

prune5.0ms

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) y x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma (/ y z) y x)

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	44
1	68	39
2	221	39
3	820	39
4	5002	39

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ y z) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

6.0ms

(* (/ y z) y)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(* (/ y z) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	148	134
1	528	112
2	2653	112
3	5002	110

prune62.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
6.8b	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
44×	`prod-exp`
31×	`add-cbrt-cube`
19×	`div-exp`
18×	`cbrt-unprod`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) y))

series559.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
175.0ms	(cbrt z)
170.0ms	(cbrt z)
43.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	366	695
1	1822	515
2	5001	426

prune165.0ms

Filtered

104 candidates to 63 candidates (60.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

9.8b	(/ (* y y) z)

rewrite5.0ms

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:

4.0ms

(/ (* y y) z)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (* y y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	107	91
1	450	76
2	1935	76
3	5002	76

prune38.0ms

Filtered

26 candidates to 19 candidates (73.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	26	6	32

Merged error: 0b

Counts

32 → 6

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample546.0ms

Algorithm

intervals

Results

296.0ms

10721×

body

valid