Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	219×	body	80	valid
5.0ms	34×	body	1280	valid
3.0ms	25×	body	640	valid
2.0ms	10×	body	2560	valid
1.0ms	17×	body	320	valid
1.0ms	15×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	23	6
1	77	4
2	241	3
3	1441	2
4	5002	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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

13.0ms

(* y (- x z))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* y (- x z))

simplify95.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	190	356
1	748	220
2	3365	190
3	5001	166

prune53.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

3.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	114	99
1	478	79
2	2205	76
3	5001	75

prune41.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y x (* y (- z)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma y x (* y (- z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	55
1	78	46
2	317	46
3	1573	46
4	5001	46

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (* y (- z)))
0.3b	(* (sqrt (+ (* y x) (* y (- z)))) (sqrt (+ (* y x) (* y (- z)))))
2.5b	(sqrt (+ (* y x) (* y (- z))))
2.5b	(sqrt (+ (* y x) (* y (- z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `distribute-rgt-neg-out`
1×	`+-commutative` `pow2` `fma-def` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

3.0ms	(+ (* y x) (* y (- z)))
23.0ms	(* (sqrt (+ (* y x) (* y (- z)))) (sqrt (+ (* y x) (* y (- z)))))
4.0ms	(sqrt (+ (* y x) (* y (- z))))
4.0ms	(sqrt (+ (* y x) (* y (- z))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* y x) (* y (- z)))
33.0ms	(* (sqrt (+ (* y x) (* y (- z)))) (sqrt (+ (* y x) (* y (- z)))))
55.0ms	(sqrt (+ (* y x) (* y (- z))))
52.0ms	(sqrt (+ (* y x) (* y (- z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	276	975
1	1218	853
2	5001	822

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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	9	3
1	13	3
2	14	3
3	14	3

end0.0ms

sample797.0ms

Algorithm

intervals

Results

225.0ms	7071×	body	80	valid
139.0ms	928×	body	1280	valid
98.0ms	833×	body	640	valid
53.0ms	582×	body	320	valid
37.0ms	216×	body	2560	valid
32.0ms	543×	body	160	valid