Details

sample9.0ms

Algorithm

intervals

Results

3.0ms	249×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x 116.0) 16.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

7.0ms

(- (* x 116.0) 16.0)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (* x 116.0) 16.0)

simplify113.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	68	59
1	180	54
2	451	53
3	1057	53
4	3746	53
5	5001	53

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
0.7b	(cbrt (- (* x 116.0) 16.0))
0.7b	(cbrt (- (* x 116.0) 16.0))
0.7b	(cbrt (- (* x 116.0) 16.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

52.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
6.0ms	(cbrt (- (* x 116.0) 16.0))
6.0ms	(cbrt (- (* x 116.0) 16.0))
6.0ms	(cbrt (- (* x 116.0) 16.0))

series548.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0)))
136.0ms	(cbrt (- (* x 116.0) 16.0))
124.0ms	(cbrt (- (* x 116.0) 16.0))
127.0ms	(cbrt (- (* x 116.0) 16.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	437	1151
1	1630	1099
2	5001	972

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (cbrt (- (* x 116.0) 16.0)))
0.8b	(cbrt (cbrt (- (* x 116.0) 16.0)))
0.8b	(cbrt (cbrt (- (* x 116.0) 16.0)))
1.0b	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
6.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
6.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
12.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

series711.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
166.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
150.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
251.0ms	(pow (cbrt (cbrt (- (* x 116.0) 16.0))) 4)

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	443	1030
1	1630	986
2	5002	904

prune283.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (cbrt (- (* x 116.0) 16.0)))
0.8b	(cbrt (cbrt (- (* x 116.0) 16.0)))
1.0b	(pow (cbrt (cbrt (* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0))))) 4)
1.2b	(pow (cbrt (cbrt (cbrt (- (* x 116.0) 16.0)))) 4)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

41×	`cbrt-prod`
19×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`pow-pow` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

7.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
7.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
21.0ms	(pow (cbrt (cbrt (* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0))))) 4)
14.0ms	(pow (cbrt (cbrt (cbrt (- (* x 116.0) 16.0)))) 4)

series884.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
154.0ms	(cbrt (cbrt (- (* x 116.0) 16.0)))
308.0ms	(pow (cbrt (cbrt (* (cbrt (- (* x 116.0) 16.0)) (cbrt (- (* x 116.0) 16.0))))) 4)
274.0ms	(pow (cbrt (cbrt (cbrt (- (* x 116.0) 16.0)))) 4)

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	671	1310
1	2488	1252
2	5001	1229

prune396.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample204.0ms

Algorithm

intervals

Results

98.0ms	7958×	body	80	valid
1.0ms	26×	body	1280	valid
1.0ms	25×	body	640	valid
0.0ms	13×	body	320	valid
0.0ms	5×	body	160	valid