Details

sample42.0ms

Algorithm

intervals

Results

26.0ms	337×	body	80	valid
2.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

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 (+ y z) (+ x x) (fma t x (* y 5.0)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify114.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	52	86
1	120	75
2	473	73
3	4278	71
4	5001	71

prune37.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

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 (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

858.0ms	(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
425.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
417.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
417.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify109.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	372	1307
1	1160	1206
2	4533	1107
3	5001	1104

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

439.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
485.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
428.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
429.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify127.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (118.0ms)

Iter	Nodes	Cost
0	185	804
1	447	744
2	1288	720
3	4578	644
4	5001	624

prune344.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
441.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
440.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
435.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify123.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (115.0ms)

Iter	Nodes	Cost
0	185	804
1	447	744
2	1288	720
3	4578	644
4	5001	624

prune329.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.0b 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	12	5
1	12	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

847.0ms	10609×	body	80	valid
28.0ms	87×	body	1280	valid
25.0ms	95×	body	640	valid
10.0ms	52×	body	320	valid
3.0ms	24×	body	160	valid