Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

307×

body

valid

simplify14.0ms

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: 5.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(/ (* x y) z)

rewrite9.0ms

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:

9.0ms

(/ (* x y) z)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (* x y) z)

simplify76.0ms

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

prune57.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

3.7b	(/ x (/ z y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 72

Calls

1 calls:

7.0ms

(/ x (/ z y))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ x (/ z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	327	458
1	1333	438
2	5001	437

prune165.0ms

Filtered

75 candidates to 61 candidates (81.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(/ x (/ (cbrt z) y))
2.2b	(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

284×	`times-frac`
180×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
145×	`add-cube-cbrt`
87×	`add-exp-log`
72×	`cbrt-prod`
71×	`associate-r`
36×	`div-exp`
35×	`add-cbrt-cube`
30×	`prod-exp`
22×	`associate-/r*`
18×	`cbrt-undiv`
12×	`cbrt-unprod` `unswap-sqr`
10×	`div-inv`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 268

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
8.0ms	(/ x (/ (cbrt z) y))
32.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt z)
192.0ms	(cbrt z)
122.0ms	(/ x (/ (cbrt z) y))
57.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1155	2554
1	5001	2152

prune756.0ms

Filtered

280 candidates to 228 candidates (81.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	280	6	286

Merged error: 0b

Counts

286 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b	(* x (/ y z))

rewrite9.0ms

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:

8.0ms

(* x (/ y z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* x (/ y z))

simplify87.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (9.0ms)

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

prune57.0ms

Filtered

37 candidates to 25 candidates (67.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	37	6	43

Merged error: 0b

Counts

43 → 6

regimes161.0ms

Accuracy

58.5% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample375.0ms

Algorithm

intervals

Results

184.0ms

9556×

body

valid