Details

sample264.0ms

Algorithm

intervals

Results

6.0ms

321×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune3.0ms

Filtered

1 candidates to 0 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 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	104	84
1	411	72
2	1807	72
3	5002	72

prune44.0ms

Filtered

24 candidates to 16 candidates (33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
4.3b	(cbrt (* (+ x y) z))
4.3b	(cbrt (* (+ x y) z))
4.3b	(cbrt (* (+ x y) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

115×	`cbrt-prod`
67×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`associate-l`
37×	`associate-r`
29×	`add-cube-cbrt`
22×	`swap-sqr` `unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1` `distribute-lft-out`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 161

Calls

4 calls:

22.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
6.0ms	(cbrt (* (+ x y) z))
6.0ms	(cbrt (* (+ x y) z))
6.0ms	(cbrt (* (+ x y) z))

series454.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
106.0ms	(cbrt (* (+ x y) z))
105.0ms	(cbrt (* (+ x y) z))
107.0ms	(cbrt (* (+ x y) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	404	1523
1	1412	1440
2	5001	1304

prune293.0ms

Filtered

173 candidates to 120 candidates (30.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	172	4	176

Merged error: 0b

Counts

176 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
2.2b	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
2.2b	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
4.3b	(cbrt (* (+ x y) z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
92×	`add-sqr-sqrt`
69×	`associate-r`
36×	`*-un-lft-identity`
35×	`unswap-sqr`
30×	`add-cube-cbrt`
24×	`associate-l`
16×	`swap-sqr`
7×	`*-commutative`
6×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt z)
20.0ms	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
17.0ms	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
6.0ms	(cbrt (* (+ x y) z))

series968.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
342.0ms	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
339.0ms	(cbrt (* (+ x y) (* (cbrt z) (cbrt z))))
106.0ms	(cbrt (* (+ x y) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	475	1493
1	1680	1457
2	5001	1409

prune415.0ms

Filtered

156 candidates to 109 candidates (30.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	156	4	160

Merged error: 0b

Counts

160 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (+ x y) (sqrt z))
0.2b	(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`associate-l`
18×	`associate-r`
16×	`sqrt-prod`
15×	`*-un-lft-identity`
14×	`unswap-sqr`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

2 → 70

Calls

2 calls:

7.0ms	(* (+ x y) (sqrt z))
14.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (+ x y) (sqrt z))
33.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))

simplify87.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	231	430
1	969	350
2	4628	339
3	5001	339

prune86.0ms

Filtered

76 candidates to 47 candidates (38.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample367.0ms

Algorithm

intervals

Results

166.0ms

10134×

body

valid