Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	215×	body	80	valid
4.0ms	30×	body	1280	valid
3.0ms	24×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	7×	body	2560	valid
1.0ms	10×	body	160	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 0)

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 z) 0)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma y (- x z) 0)

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune28.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (- x z) 0)) (cbrt (fma y (- x z) 0)))
2.1b	(cbrt (fma y (- x z) 0))
2.1b	(cbrt (fma y (- x z) 0))
2.1b	(cbrt (fma y (- x z) 0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

8.0ms	(* (cbrt (fma y (- x z) 0)) (cbrt (fma y (- x z) 0)))
0.0ms	(cbrt (fma y (- x z) 0))
0.0ms	(cbrt (fma y (- x z) 0))
1.0ms	(cbrt (fma y (- x z) 0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (fma y (- x z) 0)) (cbrt (fma y (- x z) 0)))
131.0ms	(cbrt (fma y (- x z) 0))
125.0ms	(cbrt (fma y (- x z) 0))
122.0ms	(cbrt (fma y (- x z) 0))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	200	658
1	675	607
2	2625	541
3	5002	533

prune213.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* y y)) (* y z))
0.0b	(+ (* x y) (* y y))
9.5b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

19.0ms	(- (+ (* x y) (* y y)) (* y z))
2.0ms	(+ (* x y) (* y y))
79.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series92.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (+ (* x y) (* y y)) (* y z))
31.0ms	(+ (* x y) (* y y))
32.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	557
1	1187	476
2	5001	430

prune179.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y x (* y (- y z)))
0.0b	(* y (- y z))
9.5b	(- (+ (fma y x (* y (- y z))) (fma (- z) y (* z y))) (* y y))
50.3b	(fma (- z) y (* z y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`prod-diff`
20×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sub-neg` `associate-l`
2×	`flip3--` `diff-log` `associate-*r/` `flip--` `fma-udef` `distribute-lft-out` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma y x (* y (- y z)))
11.0ms	(* y (- y z))
23.0ms	(- (+ (fma y x (* y (- y z))) (fma (- z) y (* z y))) (* y y))
0.0ms	(fma (- z) y (* z y))

series193.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma y x (* y (- y z)))
34.0ms	(* y (- y z))
96.0ms	(- (+ (fma y x (* y (- y z))) (fma (- z) y (* z y))) (* y y))
34.0ms	(fma (- z) y (* z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	318	787
1	1333	606
2	5002	600

prune198.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

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

end0.0ms

sample761.0ms

Algorithm

intervals

Results

194.0ms	6919×	body	80	valid
141.0ms	996×	body	1280	valid
102.0ms	951×	body	640	valid
57.0ms	637×	body	320	valid
40.0ms	248×	body	2560	valid
20.0ms	367×	body	160	valid