Details

sample27.0ms

Algorithm

intervals

Results

5.0ms	205×	body	80	valid
4.0ms	35×	body	1280	valid
3.0ms	33×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	18×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	22	6
1	68	4
2	197	3
3	1232	2
4	5001	2

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

21.0ms

(* y (- x z))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* y (- x z))

simplify47.0ms

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

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 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:

8.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (64.0ms)

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

prune31.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite56.0ms

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:

38.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
4.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
6.0ms	(cbrt (- x z))

series511.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
133.0ms	(cbrt (- x z))
131.0ms	(cbrt (- x z))
135.0ms	(cbrt (- x z))

simplify156.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	260	760
1	909	723
2	4484	670
3	5001	660

prune273.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
24×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
15.0ms	(cbrt (* (cbrt (- x z)) (cbrt (- x z))))
5.0ms	(cbrt (cbrt (- x z)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (- x z))
130.0ms	(cbrt (- x z))
112.0ms	(cbrt (* (cbrt (- x z)) (cbrt (- x z))))
137.0ms	(cbrt (cbrt (- x z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	305	595
1	735	565
2	2357	554
3	5002	540

prune278.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes64.0ms

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

sample779.0ms

Algorithm

intervals

Results

189.0ms	6981×	body	80	valid
117.0ms	946×	body	1280	valid
78.0ms	805×	body	640	valid
43.0ms	596×	body	320	valid
34.0ms	241×	body	2560	valid
29.0ms	539×	body	160	valid