Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	280×	body	80	valid
9.0ms	307×	body	80	nan

simplify73.0ms

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)))

rewrite70.0ms

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:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
17.0ms	(+ (- 1.0 z) (log z))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
162.0ms	(+ (- 1.0 z) (log z))
79.0ms	(* y (+ (- 1.0 z) (log z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

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

prune232.0ms

Pruning

7 alts after pruning (6 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)

rewrite12.0ms

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:

9.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series746.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
187.0ms	(cbrt y)
180.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune293.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.6b	(cbrt (+ (- 1.0 z) (log z)))
0.6b	(cbrt (+ (- 1.0 z) (log z)))
0.6b	(cbrt (+ (- 1.0 z) (log z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

76.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
12.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
60.0ms	(cbrt (+ (- 1.0 z) (log z)))
54.0ms	(cbrt (+ (- 1.0 z) (log z)))
61.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	643	1976
1	2548	1898
2	5002	1667

prune424.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series737.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
189.0ms	(cbrt y)
182.0ms	(cbrt y)
184.0ms	(cbrt y)

simplify133.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune265.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes305.0ms

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	6
1	15	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

341.0ms	9177×	body	80	valid
266.0ms	9093×	body	80	nan