Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify11.0ms

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

prune2.0ms

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)))

rewrite12.0ms

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:

2.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- 1.0 (* x y))
42.0ms	(* x (- 1.0 (* x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (103.0ms)

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

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))
52.1b	(fma (- y) x (* y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

2.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))
0.0ms	(fma (- y) x (* y x))

series97.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- 1.0 (* x y))
45.0ms	(* x (- 1.0 (* x y)))
25.0ms	(fma (- y) x (* y x))

simplify115.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	181	344
1	748	299
2	4048	295
3	5002	293

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
52.1b	(fma (- y) x (* y x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
0.0ms	(fma (- y) x (* y x))

series906.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (* x (- 1.0 (* x y))))
275.0ms	(cbrt (* x (- 1.0 (* x y))))
330.0ms	(cbrt (* x (- 1.0 (* x y))))
25.0ms	(fma (- y) x (* y x))

simplify106.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	253	647
1	884	613
2	4193	595
3	5001	589

prune251.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
52.1b	(fma (- y) x (* y x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1/3`
9×	`pow1` `add-exp-log`
8×	`flip3--` `flip--`
7×	`pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`cbrt-prod` `expm1-log1p-u` `frac-times` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

4 → 69

Calls

4 calls:

17.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
3.0ms	(cbrt (* x (- 1.0 (* x y))))
0.0ms	(fma (- y) x (* y x))

series875.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
277.0ms	(cbrt (* x (- 1.0 (* x y))))
273.0ms	(cbrt (* x (- 1.0 (* x y))))
28.0ms	(fma (- y) x (* y x))

simplify48.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	504	984
1	1811	921
2	5001	891

prune336.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

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	14	8
1	14	8

end0.0ms

sample363.0ms

Algorithm

intervals

Results

196.0ms

10745×

body

valid