Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	219×	body	80	valid
5.0ms	35×	body	1280	valid
3.0ms	28×	body	640	valid
2.0ms	10×	body	2560	valid
1.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	21	7
1	72	4
2	237	2
3	1398	2
4	5002	2

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite13.0ms

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:

11.0ms

(* y (- x z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* 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)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (71.0ms)

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

prune45.0ms

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)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune34.0ms

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	(fma y x (* y (- z)))
0.3b	(* (sqrt (fma y x (* y (- z)))) (sqrt (fma y x (* y (- z)))))
2.5b	(sqrt (fma y x (* y (- z))))
2.5b	(sqrt (fma y x (* y (- z))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma y x (* y (- z)))
6.0ms	(* (sqrt (fma y x (* y (- z)))) (sqrt (fma y x (* y (- z)))))
1.0ms	(sqrt (fma y x (* y (- z))))
1.0ms	(sqrt (fma y x (* y (- z))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma y x (* y (- z)))
44.0ms	(* (sqrt (fma y x (* y (- z)))) (sqrt (fma y x (* y (- z)))))
57.0ms	(sqrt (fma y x (* y (- z))))
63.0ms	(sqrt (fma y x (* y (- z))))

simplify164.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	168	574
1	618	491
2	3551	464
3	5002	447

prune200.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample769.0ms

Algorithm

intervals

Results

208.0ms	7073×	body	80	valid
134.0ms	954×	body	1280	valid
101.0ms	930×	body	640	valid
56.0ms	664×	body	320	valid
35.0ms	218×	body	2560	valid
21.0ms	334×	body	160	valid