Details

sample54.0ms

Algorithm

intervals

Results

33.0ms

673×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (+ 3.0 a))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (+ 3.0 a))

series249.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
37.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
92.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	335	551
1	1554	479
2	5001	471

prune240.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (+ 3.0 a))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

29.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series431.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* b b) (+ 3.0 a))
136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
134.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	270	642
1	1138	585
2	5001	579

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series536.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
134.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
135.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	106	680
1	233	632
2	782	624
3	3284	616
4	5002	616

prune454.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series526.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
130.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
129.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	106	680
1	233	632
2	782	624
3	3284	616
4	5002	616

prune422.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

20628×

body

valid