Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

456×

body

valid

simplify290.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	14	6
1	29	4
2	50	4
3	70	3
4	82	3
5	125	3
6	229	3
7	321	3
8	336	3
9	436	3
10	790	3
11	3492	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 3 (* y y) (* x x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma 3 (* y y) (* x x))

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	84	52
2	267	52
3	1089	52
4	5002	52

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.1b	(* 3 (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(+ (* 3 (* y y)) (* x x))
6.0ms	(* 3 (* y y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

simplify79.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	173	174
1	696	156
2	2692	148
3	5001	148

prune67.0ms

Filtered

41 candidates to 26 candidates (63.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 34

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
6.0ms	(* (* 3 y) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 y) y) (* x x))
23.0ms	(* (* 3 y) y)

simplify123.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	182	172
1	899	155
2	4389	147
3	5001	145

prune63.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 3 (* y y) (* x x))
0.2b	(* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))
6.5b	(sqrt (fma 3 (* y y) (* x x)))
6.5b	(sqrt (fma 3 (* y y) (* x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma 3 (* y y) (* x x))
6.0ms	(* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))
1.0ms	(sqrt (fma 3 (* y y) (* x x)))
1.0ms	(sqrt (fma 3 (* y y) (* x x)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma 3 (* y y) (* x x))
32.0ms	(* (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))))
54.0ms	(sqrt (fma 3 (* y y) (* x x)))
55.0ms	(sqrt (fma 3 (* y y) (* x x)))

simplify127.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	127	542
1	462	484
2	2877	464
3	5002	449

prune167.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes76.0ms

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	9	4
1	9	4

end0.0ms

sample529.0ms

Algorithm

intervals

Results

320.0ms

14406×

body

valid