Details

sample202.0ms

Algorithm

intervals

Results

88.0ms	2039×	body	80	nan
13.0ms	257×	body	80	valid

simplify64.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

67.0ms	(- (+ (log (+ x y)) (log z)) t)
2.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
14.0ms	(+ (log (+ x y)) (log z))

series294.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(- (+ (log (+ x y)) (log z)) t)
84.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
64.0ms	(+ (log (+ x y)) (log z))

simplify39.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (log t) (- a 0.5))
0.1b	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
78×	`prod-diff`
60×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
44×	`pow1`
38×	`log-pow`
37×	`distribute-lft-out`
27×	`associate-+r+`
26×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-log-exp`
7×	`log-prod` `fma-neg`
6×	`add-exp-log` `sub-neg` `flip3--` `associate-*r/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`fma-def` `associate-r`
4×	`expm1-log1p-u` `associate-+l-` `log-div` `flip3-+` `diff-log` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate--l-` `associate--l+` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 196

Calls

4 calls:

65.0ms	(- (+ (log (+ x y)) (log z)) t)
25.0ms	(* (log t) (- a 0.5))
109.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
15.0ms	(+ (log (+ x y)) (log z))

series400.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (+ (log (+ x y)) (log z)) t)
88.0ms	(* (log t) (- a 0.5))
94.0ms	(+ (* (log t) (- a 0.5)) (- (+ (log (+ x y)) (log z)) t))
65.0ms	(+ (log (+ x y)) (log z))

simplify91.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	815	2135
1	3261	1641
2	5001	1638

prune573.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
0.4b	(fma (log t) (- a 0.5) (log (+ x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`prod-diff`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
17×	`associate-+r+`
12×	`pow1`
9×	`log-pow`
8×	`add-log-exp`
6×	`log-prod` `associate--l+`
4×	`fma-neg` `distribute-lft-out--`
3×	`add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`sub-neg` `diff-log` `sum-log` `fma-udef`
1×	`+-commutative` `associate-+r-` `associate-+l+` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 85

Calls

3 calls:

10.0ms	(- (log z) t)
24.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
0.0ms	(fma (log t) (- a 0.5) (log (+ x y)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (log z) t)
86.0ms	(+ (fma (log t) (- a 0.5) (log (+ x y))) (- (log z) t))
109.0ms	(fma (log t) (- a 0.5) (log (+ x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	390	802
1	1224	642
2	5002	612

prune302.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(+ (log (+ x y)) (log z))

rewrite21.0ms

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:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
17.0ms	(+ (log (+ x y)) (log z))

series593.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt a)
177.0ms	(cbrt a)
179.0ms	(cbrt a)
65.0ms	(+ (log (+ x y)) (log z))

simplify81.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (26.0ms)

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

prune413.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes573.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	55923×	body	80	nan
428.0ms	8039×	body	80	valid