Details

sample32.0ms

Algorithm

intervals

Results

6.0ms	226×	body	80	valid
5.0ms	23×	body	320	valid
4.0ms	35×	body	1280	valid
3.0ms	27×	body	640	valid
2.0ms	12×	body	2560	valid
0.0ms	9×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	7
1	64	4
2	187	2
3	1171	2
4	5001	2

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

20.0ms

(* y (- x z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* y (- x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+ (* y x) (* y (- z)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (* y x) (* y (- z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
3.0b	(cbrt (* y (- x z)))
3.0b	(cbrt (* y (- x z)))
3.0b	(cbrt (* y (- x z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

25.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
7.0ms	(cbrt (* y (- x z)))
7.0ms	(cbrt (* y (- x z)))
7.0ms	(cbrt (* y (- x z)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (* y (- x z))) (cbrt (* y (- x z))))
144.0ms	(cbrt (* y (- x z)))
144.0ms	(cbrt (* y (- x z)))
144.0ms	(cbrt (* y (- x z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	255	606
1	837	553
2	3948	507
3	5002	499

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (- x z))
3.0b	(cbrt (* y (- x z)))
3.0b	(cbrt (* y (- x z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (- x z))
7.0ms	(cbrt (* y (- x z)))
7.0ms	(cbrt (* y (- x z)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt y)
139.0ms	(cbrt (- x z))
141.0ms	(cbrt (* y (- x z)))
142.0ms	(cbrt (* y (- x z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	242	318
1	556	296
2	1839	283
3	5001	273

prune178.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample767.0ms

Algorithm

intervals

Results

187.0ms	6920×	body	80	valid
117.0ms	983×	body	1280	valid
95.0ms	965×	body	640	valid
46.0ms	617×	body	320	valid
31.0ms	200×	body	2560	valid
18.0ms	360×	body	160	valid