Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
8.0ms	289×	body	80	nan

simplify71.0ms

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

prune5.0ms

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)))

rewrite30.0ms

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:

6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
155.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (61.0ms)

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

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(fma x 0.5 (* (- 1.0 z) y))
0.1b	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
0.2b	(* y (log z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `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 → 84

Calls

4 calls:

6.0ms	(* (- 1.0 z) y)
1.0ms	(fma x 0.5 (* (- 1.0 z) y))
4.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
4.0ms	(* y (log z))

series167.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- 1.0 z) y)
38.0ms	(fma x 0.5 (* (- 1.0 z) y))
57.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
42.0ms	(* y (log z))

simplify45.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	335	468
1	1469	420
2	5001	411

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series745.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
187.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

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

prune359.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

7.0ms	(* y (* 2 (log (cbrt z))))
10.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series550.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* y (* 2 (log (cbrt z))))
100.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
176.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	459	916
1	1492	786
2	5002	703

prune487.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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	18	12
1	18	12

end0.0ms

sample965.0ms

Algorithm

intervals

Results

326.0ms	9116×	body	80	valid
261.0ms	9055×	body	80	nan