Details

sample71.0ms

Algorithm

intervals

Results

50.0ms

626×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite158.0ms

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:

83.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
31.0ms	(* (* a a) (+ 1.0 a))
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
13.0ms	(pow (+ (* a a) (* b b)) 2.0)

series255.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
45.0ms	(* (* a a) (+ 1.0 a))
50.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
97.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (99.0ms)

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

prune677.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2.0)
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(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))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series535.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (+ (* a a) (* b b)) 2.0)
141.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	159	638
1	536	593
2	1967	579
3	5002	572

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite36.0ms

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:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series549.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
139.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
134.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
138.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 63

Calls

4 calls:

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))
100.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
135.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
139.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

simplify104.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	117	771
1	245	697
2	796	559
3	3298	553
4	5002	553

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes681.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

20662×

body

valid