Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

354×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
9.0ms	(* x (- 1.0 (* x y)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- 1.0 (* x y))
41.0ms	(* x (- 1.0 (* x y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	171	294
1	703	256
2	3872	252
3	5002	250

prune101.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.1b	(* x (- (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x 1.0) (* x (- (* x y))))
21.0ms	(* x (- (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	191	230
1	1093	202
2	5002	198

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
19.2b	(cbrt (* x (- (* x y))))
19.2b	(cbrt (* x (- (* x y))))
19.2b	(cbrt (* x (- (* x y))))

rewrite16.0ms

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:

8.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))
2.0ms	(cbrt (* x (- (* x y))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
96.0ms	(cbrt (* x (- (* x y))))
95.0ms	(cbrt (* x (- (* x y))))
97.0ms	(cbrt (* x (- (* x y))))

simplify100.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	220	569
1	730	497
2	3381	434
3	5001	428

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 95

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
15.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series920.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (- 1.0 (* x y)))
235.0ms	(cbrt (- 1.0 (* x y)))
228.0ms	(cbrt (- 1.0 (* x y)))
226.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	369	1126
1	1438	1071
2	5001	1010

prune288.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample363.0ms

Algorithm

intervals

Results

200.0ms

10731×

body

valid