Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	262×	body	80	nan
7.0ms	259×	body	80	valid

simplify17.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:

56.0ms	(- (- (* x (log y)) z) y)
10.0ms	(- (* x (log y)) z)
8.0ms	(* x (log y))

series115.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (- (* x (log y)) z) y)
51.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

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

prune185.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))
3.1b	(+ (- z) (- z y))

rewrite102.0ms

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:

76.0ms	(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
0.0ms	(fma x (log y) (- (* z 1)))
23.0ms	(+ (- z) (- z y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (fma x (log y) (- (* z 1))) (+ (- z) (- z y)))
62.0ms	(fma x (log y) (- (* z 1)))
8.0ms	(+ (- z) (- z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

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

prune210.0ms

Pruning

5 alts after pruning (4 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)

rewrite17.0ms

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:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series672.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt y) (cbrt y))
160.0ms	(cbrt y)
158.0ms	(cbrt y)
166.0ms	(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

prune280.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (* (cbrt 1) (pow y 2/3))))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `log-pow`
2×	`log-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (log (cbrt y)) x)
21.0ms	(* x (log (* (cbrt 1) (pow y 2/3))))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series529.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (log (cbrt y)) x)
82.0ms	(* x (log (* (cbrt 1) (pow y 2/3))))
173.0ms	(cbrt y)
164.0ms	(pow y 2/3)

simplify124.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	256	382
1	1013	331
2	4445	310
3	5001	310

prune302.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

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	20	8
1	29	8
2	29	8

end0.0ms

sample804.0ms

Algorithm

intervals

Results

216.0ms	8040×	body	80	valid
161.0ms	8114×	body	80	nan
0.0ms	1×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid