Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

379×

body

valid

simplify11.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

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

rewrite4.0ms

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:

3.0ms	(* (fma x x (* x y)) 2.0)
0.0ms	(fma x x (* x y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (fma x x (* x y)) 2.0)
40.0ms	(fma x x (* x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

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

prune66.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))
0.5b	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

rewrite17.0ms

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))
4.0ms	(* (fma x x (* x y)) (sqrt 2.0))
11.0ms	(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series226.0ms

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))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

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

prune115.0ms

Filtered

66 candidates to 40 candidates (60.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* x y))
0.3b	(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b	(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
0.5b	(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma x x (* x y))
16.0ms	(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
7.0ms	(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
60.0ms	(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

series341.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma x x (* x y))
80.0ms	(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
117.0ms	(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
108.0ms	(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	273	804
1	1525	648
2	5003	613

prune191.0ms

Filtered

102 candidates to 59 candidates (57.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* x y))
0.3b	(* (* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt 2.0)))
0.3b	(* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-r` `sqrt-prod`
29×	`add-sqr-sqrt`
18×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
10×	`prod-exp` `add-cbrt-cube`
8×	`unswap-sqr`
5×	`pow1`
4×	`associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `*-commutative` `sqr-pow`
1×	`cube-mult` `unpow3` `pow-prod-down` `fma-udef`

Counts

3 → 86

Calls

3 calls:

0.0ms	(fma x x (* x y))
20.0ms	(* (* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt 2.0)))
14.0ms	(* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3))

series371.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma x x (* x y))
112.0ms	(* (* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt 2.0)))
218.0ms	(* (fma x x (* x y)) (pow (sqrt (sqrt 2.0)) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	288	800
1	1426	660
2	5001	633

prune180.0ms

Filtered

95 candidates to 50 candidates (52.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample394.0ms

Algorithm

intervals

Results

220.0ms

11108×

body

valid