Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b	(* x (/ y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 44

Calls

1 calls:

8.0ms

(* x (/ y z))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify94.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	190	156
1	890	141
2	3688	141
3	5001	141

prune97.0ms

Filtered

47 candidates to 32 candidates (68.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.0b	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-sqr-sqrt`
86×	`unswap-sqr`
71×	`cbrt-prod`
61×	`add-cbrt-cube`
55×	`associate-r`
53×	`associate-l`
45×	`cbrt-unprod`
38×	`times-frac`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
25×	`add-exp-log`
14×	`swap-sqr`
13×	`pow1`
12×	`cbrt-undiv` `associate-*r/` `prod-exp`
7×	`-commutative` `associate-/l`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-exp` `associate-/r*`
2×	`clear-num` `un-div-inv`
1×	`frac-2neg` `div-inv`

Counts

4 → 186

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
40.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series606.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
185.0ms	(cbrt y)
181.0ms	(cbrt y)
50.0ms	(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify117.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	766	1765
1	3937	1402
2	5001	1314

prune675.0ms

Filtered

198 candidates to 134 candidates (67.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ x z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (/ x z) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (/ x z) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	175	150
1	872	135
2	2779	135
3	5001	135

prune96.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b	(* (* y x) (/ 1 z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 67

Calls

1 calls:

14.0ms

(* (* y x) (/ 1 z))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* y x) (/ 1 z))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	331	317
1	1490	260
2	5001	234

prune113.0ms

Filtered

70 candidates to 42 candidates (60.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Merged error: 0b

Counts

75 → 5

regimes143.0ms

Accuracy

62.3% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample501.0ms

Algorithm

intervals

Results

265.0ms

9551×

body

valid