Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

364×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* x y))
0.0b	(* (fma x x (* x y)) 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (* x y))
7.0ms	(* (fma x x (* x y)) 2.0)

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma x x (* x y))
52.0ms	(* (fma x x (* x y)) 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* x y))
0.4b	(* (fma x x (* x y)) (sqrt 2.0))
0.4b	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma x x (* x y))
10.0ms	(* (fma x x (* x y)) (sqrt 2.0))
26.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series227.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma x x (* x y))
77.0ms	(* (fma x x (* x y)) (sqrt 2.0))
108.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify32.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	375
1	871	319
2	5001	312

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* x y))
0.2b	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.4b	(* (fma x x (* x y)) (sqrt 2.0))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-r`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma x x (* x y))
146.0ms	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
46.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
10.0ms	(* (fma x x (* x y)) (sqrt 2.0))

series625.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma x x (* x y))
123.0ms	(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
386.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
79.0ms	(* (fma x x (* x y)) (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	313	1093
1	1648	858
2	5003	778

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
7.1b	(cbrt (* (fma x x (* x y)) 2.0))
7.1b	(cbrt (* (fma x x (* x y)) 2.0))
7.1b	(cbrt (* (fma x x (* x y)) 2.0))

rewrite26.0ms

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:

14.0ms	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
3.0ms	(cbrt (* (fma x x (* x y)) 2.0))
3.0ms	(cbrt (* (fma x x (* x y)) 2.0))
4.0ms	(cbrt (* (fma x x (* x y)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

359.0ms	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
260.0ms	(cbrt (* (fma x x (* x y)) 2.0))
256.0ms	(cbrt (* (fma x x (* x y)) 2.0))
271.0ms	(cbrt (* (fma x x (* x y)) 2.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	147	532
1	533	467
2	2719	418
3	5001	406

prune190.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample470.0ms

Algorithm

intervals

Results

232.0ms

11137×

body

valid