Details

sample33.0ms

Algorithm

intervals

Results

18.0ms	332×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

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: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma t x (* y 5.0))
54.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify32.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.1b	(fma 5.0 y (* t x))

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

series95.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
40.0ms	(fma 5.0 y (* t x))

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune84.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

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:

0.0ms	(cbrt (fma 5.0 y (* t x)))
0.0ms	(cbrt (fma 5.0 y (* t x)))
0.0ms	(cbrt (fma 5.0 y (* t x)))
6.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (fma 5.0 y (* t x)))
187.0ms	(cbrt (fma 5.0 y (* t x)))
188.0ms	(cbrt (fma 5.0 y (* t x)))
180.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	270	729
1	842	671
2	3692	604
3	5001	580

prune313.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`cbrt-prod`
12×	`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 → 75

Calls

4 calls:

6.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
3.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))
3.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))
3.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))

series740.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
186.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))
184.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))
185.0ms	(cbrt (* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	282	867
1	884	779
2	3802	711
3	5001	679

prune375.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

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	12	5
1	12	5

end0.0ms

sample907.0ms

Algorithm

intervals

Results

592.0ms	10589×	body	80	valid
17.0ms	94×	body	640	valid
14.0ms	79×	body	1280	valid
8.0ms	69×	body	320	valid
4.0ms	41×	body	160	valid