Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	299×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	45	3
2	73	3
3	86	3
4	87	3
5	87	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma d1 (+ 3.0 d2) (* d1 d3))

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 d1 (+ 3.0 d2) (* d1 d3))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma d1 (+ 3.0 d2) (* d1 d3))

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	38	59
1	82	52
2	364	52
3	2118	52
4	5001	52

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma d1 d3 (* d1 d2))
0.0ms	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma d1 d3 (* d1 d2))
43.0ms	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune57.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d1 (+ 3.0 d2) (* d1 d3))
0.1b	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.1b	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.3b	(* (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))

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 d1 (+ 3.0 d2) (* d1 d3))
1.0ms	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
7.0ms	(* (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma d1 (+ 3.0 d2) (* d1 d3))
65.0ms	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
68.0ms	(sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))
35.0ms	(* (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))

simplify157.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	191	592
1	670	516
2	3842	490
3	5001	490

prune188.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
0.2b	(* (* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
0.5b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.5b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`sqrt-prod`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

4.0ms	(* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
12.0ms	(* (* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
0.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
195.0ms	(* (* (fabs (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (fma d1 (+ 3.0 d2) (* d1 d3)))) (sqrt (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
125.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
124.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	530	1365
1	2060	1225
2	5002	1179

prune292.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes61.0ms

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

sample501.0ms

Algorithm

intervals

Results

245.0ms	9574×	body	80	valid
21.0ms	226×	body	640	valid
15.0ms	168×	body	320	valid
10.0ms	88×	body	1280	valid
3.0ms	66×	body	160	valid