Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	234×	body	80	valid
3.0ms	28×	body	1280	valid
3.0ms	29×	body	640	valid
1.0ms	19×	body	320	valid
1.0ms	9×	body	2560	valid
1.0ms	14×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

Iter	Nodes	Cost
0	22	6
1	65	6
2	175	4
3	402	3
4	919	2
5	2892	2
6	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))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* y (- x z))

simplify45.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

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

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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)))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (62.0ms)

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

prune29.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

2.2b	(- (* x x) (* z z))
11.7b	(* y (- (* x x) (* z z)))
18.9b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

8.0ms	(- (* x x) (* z z))
29.0ms	(* y (- (* x x) (* z z)))
27.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (* x x) (* z z))
57.0ms	(* y (- (* x x) (* z z)))
66.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	309	479
1	1609	402
2	5001	375

prune119.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ x z))
0.2b	(* (* y (+ x z)) (- x z))
18.9b	(/ (* (* y (+ x z)) (- x z)) (+ x z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1`
9×	`associate-r`
8×	`frac-times` `add-cube-cbrt` `flip3-+` `flip-+` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--`
4×	`times-frac` `associate-l` `pow-prod-down` `associate-l/` `associate-/r`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `distribute-lft-out` `add-log-exp`
2×	`sub-neg` `associate-/r/` `*-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

19.0ms	(* y (+ x z))
42.0ms	(* (* y (+ x z)) (- x z))
49.0ms	(/ (* (* y (+ x z)) (- x z)) (+ x z))

series115.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* y (+ x z))
60.0ms	(* (* y (+ x z)) (- x z))
32.0ms	(/ (* (* y (+ x z)) (- x z)) (+ x z))

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	443	624
1	3011	532
2	5001	532

prune169.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample765.0ms

Algorithm

intervals

Results

188.0ms	7063×	body	80	valid
118.0ms	996×	body	1280	valid
88.0ms	894×	body	640	valid
44.0ms	628×	body	320	valid
30.0ms	218×	body	2560	valid
16.0ms	339×	body	160	valid