Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
10.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(* a (+ (+ b c) d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

39.0ms

(* a (+ (+ b c) d))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* a (+ (+ b c) d))

simplify99.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	151	122
1	779	108
2	4782	108
3	5001	108

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d a (fma a b (* a c)))
0.0b	(fma a b (* a c))

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 d a (fma a b (* a c)))
0.0ms	(fma a b (* a c))

series72.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma d a (fma a b (* a c)))
35.0ms	(fma a b (* a c))

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a b (* a c))
0.1b	(sqrt (fma a b (* a c)))
0.1b	(sqrt (fma a b (* a c)))
0.6b	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

rewrite12.0ms

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:

0.0ms	(fma a b (* a c))
1.0ms	(sqrt (fma a b (* a c)))
1.0ms	(sqrt (fma a b (* a c)))
7.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma a b (* a c))
58.0ms	(sqrt (fma a b (* a c)))
54.0ms	(sqrt (fma a b (* a c)))
39.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

simplify150.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	162	464
1	607	406
2	3505	384
3	5002	373

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d a (cbrt (pow (fma a b (* a c)) 3)))
0.0b	(fma a b (* a c))
0.4b	(pow (fma a b (* a c)) 3)
24.5b	(cbrt (pow (fma a b (* a c)) 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 d a (cbrt (pow (fma a b (* a c)) 3)))
0.0ms	(fma a b (* a c))
1.0ms	(pow (fma a b (* a c)) 3)
1.0ms	(cbrt (pow (fma a b (* a c)) 3))

series166.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma d a (cbrt (pow (fma a b (* a c)) 3)))
35.0ms	(fma a b (* a c))
59.0ms	(pow (fma a b (* a c)) 3)
35.0ms	(cbrt (pow (fma a b (* a c)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	176	369
1	767	341
2	5002	330

prune167.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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	13	3
1	15	3
2	15	3

end0.0ms

sample880.0ms

Algorithm

intervals

Results

355.0ms	8000×	pre	80	true
312.0ms	8000×	body	80	valid