Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
11.0ms	268×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	171	218
1	516	200
2	1464	185
3	5001	185

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series721.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
174.0ms	(cbrt y)
167.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series706.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
168.0ms	(cbrt y)
166.0ms	(cbrt y)
169.0ms	(pow (/ 1 y) -1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	276	402
1	1209	361
2	5002	320

prune324.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(pow (/ 1 (cbrt y)) -1/3)
4.5b	(pow (/ 1 (pow y 2/3)) -1/3)
6.0b	(pow y 2/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

59×	`unpow-prod-down`
39×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`pow-exp`
12×	`cbrt-prod`
9×	`pow-unpow`
8×	`pow1` `pow-pow` `div-exp`
6×	`pow-to-exp` `sqr-pow`
4×	`rec-exp` `1-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-flip`
2×	`pow1/3` `div-inv` `inv-pow`

Counts

4 → 120

Calls

4 calls:

0.0ms	(cbrt y)
5.0ms	(pow (/ 1 (cbrt y)) -1/3)
6.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
1.0ms	(pow y 2/3)

series937.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
310.0ms	(pow (/ 1 (cbrt y)) -1/3)
274.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
170.0ms	(pow y 2/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	551	703
1	1785	551
2	5002	531

prune360.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes91.0ms

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	4
1	8	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

542.0ms	8026×	body	80	valid
342.0ms	8078×	body	80	nan
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid