Details

sample26.0ms

Algorithm

intervals

Results

16.0ms	277×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify12.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma d1 (+ 10.0 d2) (* d1 20.0))

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 d1 (+ 10.0 d2) (* d1 20.0))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma d1 (+ 10.0 d2) (* d1 20.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	34	56
1	70	49
2	257	49
3	1567	49
4	5003	49

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 30.0 d1 (* 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 30.0 d1 (* d1 d2))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma 30.0 d1 (* d1 d2))

simplify100.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	43
1	54	38
2	207	38
3	766	38
4	3820	38
5	5001	38

prune24.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2))))
0.5b	(cbrt (fma 30.0 d1 (* d1 d2)))
0.5b	(cbrt (fma 30.0 d1 (* d1 d2)))
0.5b	(cbrt (fma 30.0 d1 (* d1 d2)))

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 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2))))
0.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
0.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
1.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (fma 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2))))
124.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
120.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
122.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	347	939
1	1172	861
2	5001	767

prune236.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma 30.0 d1 (* d1 d2)))
0.6b	(cbrt (cbrt (fma 30.0 d1 (* d1 d2))))
0.6b	(cbrt (* (cbrt (fma 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2)))))
0.9b	(pow (cbrt (cbrt (fma 30.0 d1 (* d1 d2)))) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

0.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
1.0ms	(cbrt (cbrt (fma 30.0 d1 (* d1 d2))))
3.0ms	(cbrt (* (cbrt (fma 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2)))))
3.0ms	(pow (cbrt (cbrt (fma 30.0 d1 (* d1 d2)))) 4)

series552.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma 30.0 d1 (* d1 d2)))
127.0ms	(cbrt (cbrt (fma 30.0 d1 (* d1 d2))))
152.0ms	(cbrt (* (cbrt (fma 30.0 d1 (* d1 d2))) (cbrt (fma 30.0 d1 (* d1 d2)))))
151.0ms	(pow (cbrt (cbrt (fma 30.0 d1 (* d1 d2)))) 4)

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	577	890
1	1880	803
2	5001	740

prune274.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes35.0ms

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	6	2
1	6	2

end0.0ms

sample705.0ms

Algorithm

intervals

Results

522.0ms	9001×	body	80	valid
17.0ms	67×	body	1280	valid
7.0ms	37×	body	640	valid
4.0ms	24×	body	320	valid
2.0ms	15×	body	160	valid