Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
1.0ms	5×	body	2560	valid
1.0ms	5×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	34	3
3	41	3
4	47	3
5	50	3
6	50	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite2.0ms

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:

2.0ms

(- x (* (/ 3.0 8.0) y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- x (* (/ 3.0 8.0) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	80	79
1	258	72
2	1053	72
3	3864	72
4	5002	72

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite21.0ms

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:

14.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
34.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
34.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	237	1018
1	740	953
2	2721	895
3	5002	874

prune729.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
34.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
35.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
35.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify107.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 4 (100.0ms)

Iter	Nodes	Cost
0	192	700
1	476	658
2	1445	650
3	4605	630
4	5001	620

prune780.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
22×	`cbrt-div`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
4.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
36.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
34.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
34.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify112.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	207	960
1	491	910
2	1456	902
3	4582	882
4	5001	882

prune1.3s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes514.0ms

Accuracy

0% (0.0b 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

sample532.0ms

Algorithm

intervals

Results

295.0ms	7385×	body	80	valid
39.0ms	199×	body	1280	valid
24.0ms	106×	body	2560	valid
23.0ms	152×	body	640	valid
11.0ms	97×	body	320	valid
5.0ms	61×	body	160	valid