Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

333×

body

valid

simplify19.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `fma-udef`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

10.0ms	(* (+ d3 5.0) d1)
0.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
0.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (+ d3 5.0) d1)
33.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
47.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma d1 d3 (* d1 d2))
43.0ms	(fma 37.0 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

prune64.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt 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 d1) (cbrt d1))
0.0ms	(cbrt d1)
0.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series714.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt d1) (cbrt d1))
174.0ms	(cbrt d1)
176.0ms	(cbrt d1)
169.0ms	(cbrt d1)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune268.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
0.2b	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
1.6b	(sqrt (fma d1 d3 (* d1 d2)))
1.6b	(sqrt (fma d1 d3 (* d1 d2)))

rewrite14.0ms

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:

3.0ms	(fma 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
6.0ms	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
1.0ms	(sqrt (fma d1 d3 (* d1 d2)))
1.0ms	(sqrt (fma d1 d3 (* d1 d2)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
34.0ms	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
60.0ms	(sqrt (fma d1 d3 (* d1 d2)))
56.0ms	(sqrt (fma d1 d3 (* d1 d2)))

simplify169.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	176	558
1	675	473
2	4038	443
3	5001	443

prune192.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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

sample863.0ms

Algorithm

intervals

Results

636.0ms	10174×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	10×	body	640	valid
2.0ms	7×	body	1280	valid
1.0ms	5×	body	160	valid