Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
7.0ms	270×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

3.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (fma (log y) (+ y 0.5) z) y)
37.0ms	(fma (log y) (+ y 0.5) z)

simplify143.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	214	366
1	823	278
2	4980	260
3	5001	260

prune117.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (log y) (+ 0.5 y)) z)
0.1b	(- (+ (* (log y) (+ 0.5 y)) z) y)
0.1b	(* (log y) (+ 0.5 y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

5.0ms	(+ (* (log y) (+ 0.5 y)) z)
43.0ms	(- (+ (* (log y) (+ 0.5 y)) z) y)
10.0ms	(* (log y) (+ 0.5 y))

series341.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* (log y) (+ 0.5 y)) z)
56.0ms	(- (+ (* (log y) (+ 0.5 y)) z) y)
242.0ms	(* (log y) (+ 0.5 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	392	589
1	1767	468
2	5001	457

prune195.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (log y) 0.5) (* (log y) y)) z)
0.0b	(+ (* (log y) 0.5) (* (log y) y))
0.1b	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
0.2b	(* (log y) y)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
8×	`distribute-lft-out`
7×	`pow1` `sum-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u`
3×	`diff-log` `associate-r`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out--`
1×	`sub-neg` `associate-+l+` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

13.0ms	(+ (+ (* (log y) 0.5) (* (log y) y)) z)
3.0ms	(+ (* (log y) 0.5) (* (log y) y))
83.0ms	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
3.0ms	(* (log y) y)

series703.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (+ (* (log y) 0.5) (* (log y) y)) z)
419.0ms	(+ (* (log y) 0.5) (* (log y) y))
49.0ms	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
189.0ms	(* (log y) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	422	835
1	1912	617
2	5002	579

prune239.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y)))
0.1b	(- (+ (+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y))) z) y)
0.3b	(* (log y) (sqrt y))
0.3b	(* (* (log y) (sqrt y)) (sqrt y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`add-log-exp`
12×	`pow1` `associate-r` `prod-diff`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
5×	`associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `log1p-expm1-u`
3×	`diff-log`
2×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `fma-def` `flip3-+` `associate--l+` `log-pow` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y)))
79.0ms	(- (+ (+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y))) z) y)
5.0ms	(* (log y) (sqrt y))
11.0ms	(* (* (log y) (sqrt y)) (sqrt y))

series552.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y)))
55.0ms	(- (+ (+ (* (log y) 0.5) (* (* (log y) (sqrt y)) (sqrt y))) z) y)
59.0ms	(* (log y) (sqrt y))
136.0ms	(* (* (log y) (sqrt y)) (sqrt y))

simplify75.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	543	1180
1	2519	808
2	5002	770

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample820.0ms

Algorithm

intervals

Results

268.0ms	8048×	body	80	valid
222.0ms	8077×	body	80	nan