Details

sample61.0ms

Algorithm

intervals

Results

38.0ms

666×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

82.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
29.0ms	(* (* a a) (+ 1.0 a))
12.0ms	(pow (+ (* a a) (* b b)) 2.0)
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
54.0ms	(* (* a a) (+ 1.0 a))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify105.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	725	894
1	4089	793
2	5001	790

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (- 1.0 (* 3.0 a)))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
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))

series526.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
162.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	315	769
1	1231	692
2	5002	681

prune399.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

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))
9.0ms	(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))

series633.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
162.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (24.0ms)

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

prune428.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series638.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
156.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify138.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	179	814
1	384	760
2	1210	750
3	4950	740
4	5001	740

prune463.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (0.1b 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	27	15
1	27	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

20539×

body

valid