Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

(* (* x y) (- 1.0 y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (* x y) (- 1.0 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune51.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (- 1.0 y))
91.0ms	(cbrt (- 1.0 y))
94.0ms	(cbrt (- 1.0 y))
106.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	328	874
1	1077	836
2	4703	779
3	5001	778

prune309.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
46×	`cbrt-div`
21×	`add-cube-cbrt`
20×	`swap-sqr`
19×	`flip3--` `flip--`
18×	`pow1`
16×	`associate-r` `associate-l`
14×	`pow1/3`
13×	`distribute-lft-out--`
12×	`frac-times`
9×	`difference-of-squares`
8×	`add-exp-log` `unswap-sqr`
6×	`associate-r/` `associate-l/`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
11.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1.0 y))
104.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
105.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
111.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	443	1340
1	1425	1275
2	5001	1188

prune458.0ms

Filtered

164 candidates to 111 candidates (67.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	165	7	172

Merged error: 0.0b

Counts

172 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (pow (cbrt (cbrt (- 1.0 y))) 4)))
0.2b	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
0.3b	(pow (cbrt (cbrt (- 1.0 y))) 4)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
43×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
18×	`flip3--` `flip--`
16×	`add-cube-cbrt`
14×	`associate-*l/`
12×	`pow1` `frac-times`
11×	`unpow-prod-down`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
7×	`add-exp-log` `distribute-lft-out--`
6×	`associate-*r/`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

10.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
10.0ms	(cbrt (* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (pow (cbrt (cbrt (- 1.0 y))) 4)))
9.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
9.0ms	(pow (cbrt (cbrt (- 1.0 y))) 4)

series490.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
120.0ms	(cbrt (* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (pow (cbrt (cbrt (- 1.0 y))) 4)))
104.0ms	(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
154.0ms	(pow (cbrt (cbrt (- 1.0 y))) 4)

simplify65.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	596	1365
1	1991	1287
2	5002	1235

prune626.0ms

Filtered

136 candidates to 97 candidates (71.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

regimes77.0ms

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

sample347.0ms

Algorithm

intervals

Results

189.0ms

10498×

body

valid