Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	226×	body	80	valid
6.0ms	25×	body	1280	valid
5.0ms	25×	body	640	valid
3.0ms	23×	body	320	valid
3.0ms	10×	body	2560	valid
1.0ms	13×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

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:

6.0ms

(* y (- x z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* y (- x z))

simplify50.0ms

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

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (68.0ms)

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

prune33.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
4.2b	(cbrt (+ (* y x) (* y (- z))))
4.2b	(cbrt (+ (* y x) (* y (- z))))
4.2b	(cbrt (+ (* y x) (* y (- z))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
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 → 93

Calls

4 calls:

11.0ms	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
3.0ms	(cbrt (+ (* y x) (* y (- z))))
3.0ms	(cbrt (+ (* y x) (* y (- z))))
3.0ms	(cbrt (+ (* y x) (* y (- z))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (+ (* y x) (* y (- z)))) (cbrt (+ (* y x) (* y (- z)))))
130.0ms	(cbrt (+ (* y x) (* y (- z))))
133.0ms	(cbrt (+ (* y x) (* y (- z))))
129.0ms	(cbrt (+ (* y x) (* y (- z))))

simplify108.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	287	1248
1	1013	1158
2	4035	1065
3	5001	1055

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (pow x 3) (pow z 3))
2.5b	(+ (* z z) (* x z))
6.7b	(* y (- (pow x 3) (pow z 3)))
34.5b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

11.0ms	(- (pow x 3) (pow z 3))
4.0ms	(+ (* z z) (* x z))
17.0ms	(* y (- (pow x 3) (pow z 3)))
19.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series326.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (pow x 3) (pow z 3))
27.0ms	(+ (* z z) (* x z))
107.0ms	(* y (- (pow x 3) (pow z 3)))
136.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	496	919
1	2508	821
2	5001	814

prune286.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes54.0ms

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

sample714.0ms

Algorithm

intervals

Results

191.0ms	7029×	body	80	valid
128.0ms	962×	body	1280	valid
99.0ms	972×	body	640	valid
48.0ms	581×	body	320	valid
30.0ms	199×	body	2560	valid
18.0ms	365×	body	160	valid