Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
6.0ms	289×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

4.0ms	(- (* x (log y)) z)
28.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series130.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x (log y)) z)
33.0ms	(- (- (* x (log y)) z) y)
40.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune195.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
0.1b	(fma x (log y) (- (* z 1)))
2.3b	(+ (- z) (- z y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-log-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `sum-log` `distribute-lft-out`
12×	`associate-+r+`
9×	`prod-diff`
7×	`distribute-rgt-neg-in`
4×	`associate-+r-` `diff-log` `neg-log` `distribute-lft-out--`
3×	`pow1` `add-exp-log` `distribute-lft-neg-in` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `neg-sub0` `associate-+l-` `flip3-+` `flip-+` `fma-udef`
1×	`neg-mul-1` `sub-neg` `associate-+l+`

Counts

3 → 82

Calls

3 calls:

33.0ms	(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
0.0ms	(fma x (log y) (- (* z 1)))
15.0ms	(+ (- z) (- z y))

series98.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
56.0ms	(fma x (log y) (- (* z 1)))
9.0ms	(+ (- z) (- z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	343	529
1	1410	404
2	5001	346

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite9.0ms

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

series741.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
180.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

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

prune285.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (pow (/ 1 y) -1/3))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
21×	`add-exp-log`
17×	`associate-r`
14×	`cbrt-prod`
10×	`unswap-sqr`
8×	`pow-exp`
6×	`pow1` `associate-l` `prod-exp`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow`
2×	`pow-to-exp` `rec-exp` `pow1/3` `1-exp` `div-inv`
1×	`pow-flip` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 110

Calls

4 calls:

17.0ms	(* (cbrt y) (pow (/ 1 y) -1/3))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(pow (/ 1 y) -1/3)

series748.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (pow (/ 1 y) -1/3))
185.0ms	(cbrt y)
175.0ms	(cbrt y)
182.0ms	(pow (/ 1 y) -1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	592
1	1336	549
2	5002	512

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	29	8
2	29	8

end0.0ms

sample732.0ms

Algorithm

intervals

Results

238.0ms	8031×	body	80	valid
168.0ms	7913×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid