Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	294×	body	80	valid
8.0ms	274×	body	80	nan

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite132.0ms

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:

19.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
33.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
162.0ms	(+ (- 1.0 z) (log z))
71.0ms	(* y (+ (- 1.0 z) (log z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (45.0ms)

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

prune314.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

6.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* (log z) y))
8.0ms	(* (log z) y)

series115.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* (log z) y))
58.0ms	(* (log z) y)

simplify91.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	220	242
1	746	218
2	2978	206
3	5001	204

prune189.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series711.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (cbrt y))
172.0ms	(cbrt y)
169.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune674.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
0.5b	(cbrt (* (log z) y))
0.5b	(cbrt (* (log z) y))
0.5b	(cbrt (* (log z) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

15.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
3.0ms	(cbrt (* (log z) y))
3.0ms	(cbrt (* (log z) y))
3.0ms	(cbrt (* (log z) y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
103.0ms	(cbrt (* (log z) y))
102.0ms	(cbrt (* (log z) y))
103.0ms	(cbrt (* (log z) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	195	485
1	619	421
2	3069	377
3	5001	361

prune434.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes376.0ms

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	14	6
1	14	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

356.0ms	9247×	body	80	valid
280.0ms	9304×	body	80	nan