Details

sample182.0ms

Algorithm

intervals

Results

92.0ms	2074×	body	80	nan
15.0ms	257×	body	80	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

121.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series321.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
71.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	642	1079
1	2528	880
2	5001	863

prune430.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.2b	(fma (log t) (- a 0.5) (- (log z) t))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `log-prod` `fma-def`
3×	`distribute-lft-out` `add-log-exp`
2×	`add-exp-log` `expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
0.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series216.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
54.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify74.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	272	383
1	769	360
2	3265	353
3	5001	348

prune189.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.3b	(fma (- a 0.5) (log t) (log (+ x y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`associate-+r+`
12×	`prod-diff`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`log-pow`
3×	`log-prod` `fma-def` `associate--l+` `distribute-lft-out`
2×	`add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `flip-+`

Counts

2 → 49

Calls

2 calls:

12.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
0.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ (fma (- a 0.5) (log t) (log (+ x y))) (- (log z) t))
100.0ms	(fma (- a 0.5) (log t) (log (+ x y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	328	556
1	1006	489
2	4958	449
3	5001	449

prune217.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `cbrt-prod`
7×	`log-prod`
5×	`log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (log (+ x y)) (log z))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series812.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (log (+ x y)) (log z))
382.0ms	(cbrt t)
181.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	195	301
1	405	276
2	1046	266
3	3377	265
4	5001	265

prune371.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes622.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	56138×	body	80	nan
441.0ms	8032×	body	80	valid