Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	296×	body	80	valid
12.0ms	296×	body	80	nan

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
17.0ms	(+ (- 1.0 z) (log z))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
159.0ms	(+ (- 1.0 z) (log z))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune238.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
0.0b	(+ (log z) (- 1.0 z))
0.2b	(* y (+ (log z) (- 1.0 z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

3.0ms	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
9.0ms	(+ (log z) (- 1.0 z))
34.0ms	(* y (+ (log z) (- 1.0 z)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
167.0ms	(+ (log z) (- 1.0 z))
79.0ms	(* y (+ (log z) (- 1.0 z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	439	514
1	1741	441
2	5001	433

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(fma x 0.5 (* (log z) y))
0.1b	(+ (fma x 0.5 (* (log z) y)) (* (- 1.0 z) y))
0.3b	(* (log z) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`pow1` `add-cube-cbrt` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (- 1.0 z) y)
0.0ms	(fma x 0.5 (* (log z) y))
3.0ms	(+ (fma x 0.5 (* (log z) y)) (* (- 1.0 z) y))
3.0ms	(* (log z) y)

series225.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- 1.0 z) y)
56.0ms	(fma x 0.5 (* (log z) y))
68.0ms	(+ (fma x 0.5 (* (log z) y)) (* (- 1.0 z) y))
66.0ms	(* (log z) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	323	396
1	1285	360
2	5002	341

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma y (- 1.0 z) (fma (log z) y (* 0.5 x)))
0.1b	(fma (log z) y (* 0.5 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma y (- 1.0 z) (fma (log z) y (* 0.5 x)))
0.0ms	(fma (log z) y (* 0.5 x))

series154.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma y (- 1.0 z) (fma (log z) y (* 0.5 x)))
91.0ms	(fma (log z) y (* 0.5 x))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	122	165
1	339	143
2	1026	136
3	5001	130

prune71.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes209.0ms

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	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

566.0ms	9181×	body	80	valid
355.0ms	8912×	body	80	nan