Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

306×

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: 3.3b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

3.2b	(* 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))

simplify76.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (7.0ms)

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

prune88.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	9	39

Merged error: 0.0b

Counts

39 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x (/ y z))
13.7b	(cbrt (* x (/ y z)))
13.7b	(cbrt (* x (/ y z)))
13.7b	(cbrt (* x (/ y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

7.0ms	(* x (/ y z))
4.0ms	(cbrt (* x (/ y z)))
4.0ms	(cbrt (* x (/ y z)))
4.0ms	(cbrt (* x (/ y z)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (/ y z))
84.0ms	(cbrt (* x (/ y z)))
85.0ms	(cbrt (* x (/ y z)))
86.0ms	(cbrt (* x (/ y z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	234	388
1	941	340
2	3868	313
3	5002	313

prune189.0ms

Filtered

82 candidates to 62 candidates (75.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x (/ y z))
13.7b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
13.7b	(cbrt (* x (/ y z)))
13.7b	(cbrt (* x (/ y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

7.0ms	(* x (/ y z))
9.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
4.0ms	(cbrt (* x (/ y z)))
4.0ms	(cbrt (* x (/ y z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (/ y z))
89.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
87.0ms	(cbrt (* x (/ y z)))
87.0ms	(cbrt (* x (/ y z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	261	458
1	990	400
2	3938	370
3	5001	318

prune243.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b	(/ (* x 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

(/ (* x y) z)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/ (* x y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

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

prune37.0ms

Filtered

26 candidates to 15 candidates (57.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	27	8	35

Merged error: 0b

Counts

35 → 8

regimes184.0ms

Accuracy

43.1% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample593.0ms

Algorithm

intervals

Results

338.0ms

9667×

body

valid