Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

393×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

9.0ms	(+ x (* (- y z) (- t x)))
39.0ms	(* (- y z) (- t x))

series80.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune309.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
1.9b	(cbrt (* (- y z) (- t x)))
1.9b	(cbrt (* (- y z) (- t x)))
1.9b	(cbrt (* (- y z) (- t x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

44.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
12.0ms	(cbrt (* (- y z) (- t x)))
12.0ms	(cbrt (* (- y z) (- t x)))
16.0ms	(cbrt (* (- y z) (- t x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

600.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
231.0ms	(cbrt (* (- y z) (- t x)))
226.0ms	(cbrt (* (- y z) (- t x)))
230.0ms	(cbrt (* (- y z) (- t x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	505	2854
1	1528	2786
2	5001	2722

prune623.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- t x)) (cbrt (- t x)))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))

rewrite57.0ms

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×	`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 → 101

Calls

4 calls:

41.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
4.0ms	(cbrt (- t x))
4.0ms	(cbrt (- t x))
4.0ms	(cbrt (- t x))

series507.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
130.0ms	(cbrt (- t x))
132.0ms	(cbrt (- t x))
132.0ms	(cbrt (- t x))

simplify160.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	260	760
1	908	723
2	4494	670
3	5001	660

prune319.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (* (- y z) (- t x)))
1.9b	(cbrt (* (- y z) (- t x)))
1.9b	(cbrt (* (- y z) (- t x)))
1.9b	(cbrt (* (- y z) (- t x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
24×	`flip3--` `flip--`
16×	`frac-times`
8×	`associate-r/` `associate-l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

15.0ms	(cbrt (* (- y z) (- t x)))
12.0ms	(cbrt (* (- y z) (- t x)))
13.0ms	(cbrt (* (- y z) (- t x)))
12.0ms	(cbrt (* (- y z) (- t x)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (* (- y z) (- t x)))
227.0ms	(cbrt (* (- y z) (- t x)))
231.0ms	(cbrt (* (- y z) (- t x)))
231.0ms	(cbrt (* (- y z) (- t x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	257	784
1	799	748
2	3527	720
3	5001	716

prune391.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes155.0ms

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	10	4
1	10	4

end0.0ms

sample714.0ms

Algorithm

intervals

Results

273.0ms

12448×

body

valid