Details

Time bar (total: 10.3s)

sample70.0ms

Algorithm
intervals
Results
49.0ms626×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b
(* (* a a) (- 1.0 a))
0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (+ 3.0 a))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
18×associate-*r/ prod-diff
17×pow1 add-exp-log
16×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
12×associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
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 distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 120
Calls
4 calls:
84.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
35.0ms
(* (* a a) (- 1.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

series232.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
47.0ms
(* (* a a) (- 1.0 a))
96.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify123.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07881033
14587830
25001830

prune653.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))
0.3b
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))
0.4b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-div
58×pow1
44×associate-*r/
39×flip3-+ flip-+
37×add-exp-log
36×frac-times
32×*-un-lft-identity
29×pow-prod-down
28×cbrt-prod
24×add-sqr-sqrt
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
16×add-cube-cbrt
15×associate-*r*
9×swap-sqr associate-*l*
7×distribute-lft-out
6×pow1/3 pow-prod-up
5×pow-plus unswap-sqr
4×expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×pow2 unpow-prod-down pow-unpow *-commutative
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 172
Calls
4 calls:
37.0ms
(* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))
210.0ms
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)
59.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))
33.0ms
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))
96.0ms
(pow (+ (* a a) (* b b)) 2.0)
126.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))

simplify105.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07581932
135451688
250011570

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))
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))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
21×cbrt-prod
16×add-exp-log
14×pow-prod-down
12×cbrt-div add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/
9×unpow-prod-down
8×prod-exp cbrt-unprod
6×flip3-+ flip-+
4×expm1-log1p-u frac-times pow-plus pow-prod-up log1p-expm1-u add-log-exp
3×pow1/3 sqr-pow
2×pow2 associate-*l/ pow-sqr
1×associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 90
Calls
4 calls:
60.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 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))

series538.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))
137.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
135.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
140.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0409897
11579792
25002762

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

11.2b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.2b
(sqrt (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))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×cbrt-prod unpow-prod-down sqrt-prod
12×add-cube-cbrt *-un-lft-identity
6×rem-sqrt-square sqr-pow
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2 pow1/3
Counts
4 → 76
Calls
4 calls:
15.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms
(sqrt (pow (+ (* 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))

series545.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
130.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
140.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
140.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0147644
1323600
21002596
33983592
45002592

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes487.0ms

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)

IterNodesCost
02921
12921

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s20662×body80valid