Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	328×	body	80	valid
0.0ms	2×	body	320	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

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 d2 (* (+ d3 5.0) d1))
0.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
44.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify127.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	59	128
1	136	112
2	704	112
3	4924	112
4	5001	112

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

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 37.0 d1 (fma d1 d3 (* d1 d2)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify125.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	58
1	97	51
2	536	51
3	3836	51
4	5001	51

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma d1 d2 (* (+ d3 5.0) d1))) (cbrt (fma d1 d2 (* (+ d3 5.0) d1))))
0.6b	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.6b	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.6b	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma d1 d2 (* (+ d3 5.0) d1))) (cbrt (fma d1 d2 (* (+ d3 5.0) d1))))
0.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
0.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
1.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (fma d1 d2 (* (+ d3 5.0) d1))) (cbrt (fma d1 d2 (* (+ d3 5.0) d1))))
122.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
126.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))
126.0ms	(cbrt (fma d1 d2 (* (+ d3 5.0) d1)))

simplify124.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	312	1032
1	979	944
2	4362	814
3	5001	732

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
0.3b	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
35.8b	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
0.0ms	(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
1.0ms	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
1.0ms	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

series185.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
44.0ms	(fma 32.0 d1 (cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)))
72.0ms	(pow (fma d1 d2 (* (+ d3 5.0) d1)) 3)
34.0ms	(cbrt (pow (fma d1 d2 (* (+ d3 5.0) d1)) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	215	478
1	836	442
2	5001	433

prune170.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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

sample512.0ms

Algorithm

intervals

Results

282.0ms	10041×	body	80	valid
3.0ms	27×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	8×	body	160	valid