Details

Time bar (total: 5.9s)

sample46.0ms

Algorithm
intervals
Results
30.0ms626×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b
(+ (* a a) (* b b))
0.0b
(* 4.0 (* b b))
0.4b
(pow (+ (* a a) (* b b)) 2.0)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ sum-log flip-+
1×pow-to-exp pow-pow associate-*r* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 58
Calls
4 calls:
54.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
8.0ms
(+ (* a a) (* b b))
19.0ms
(* 4.0 (* b b))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series205.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
25.0ms
(+ (* a a) (* b b))
23.0ms
(* 4.0 (* b b))
96.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0322413
11353379
25001379

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
11.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
11.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
11.8b
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
246.0ms
(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
31.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
30.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
33.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
175.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
172.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
172.0ms
(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify141.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
02621815
19421694
242611539
350011529

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
2.1b
(* (pow a 2) (pow b 2))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×unswap-sqr
15×add-exp-log
14×unpow-prod-down
10×unpow2 add-log-exp sqr-pow
9×*-un-lft-identity prod-exp
8×associate-*r* associate-*l*
7×add-cube-cbrt
6×pow-to-exp pow-exp
5×add-cbrt-cube
4×sum-log
3×pow1
2×+-commutative flip3-+ flip-+
1×associate-+r+ pow-prod-down *-commutative cbrt-unprod distribute-lft-out
Counts
3 → 76
Calls
3 calls:
34.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
13.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
20.0ms
(* (pow a 2) (pow b 2))

series129.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
46.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
33.0ms
(* (pow a 2) (pow b 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0327556
11422489
25001476

prune284.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
0.0b
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b
(* 4.0 (* b b))
2.1b
(* (pow a 2) (pow b 2))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-exp-log
17×unswap-sqr
14×unpow-prod-down
12×prod-exp
11×associate-*l* add-cbrt-cube add-log-exp
10×unpow2 sqr-pow
9×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-to-exp pow-exp
4×pow-prod-down sum-log cbrt-unprod
2×+-commutative flip3-+ *-commutative flip-+
1×associate-+l+
Counts
4 → 94
Calls
4 calls:
13.0ms
(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
53.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
19.0ms
(* 4.0 (* b b))
17.0ms
(* (pow a 2) (pow b 2))

series162.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
59.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
23.0ms
(* 4.0 (* b b))
29.0ms
(* (pow a 2) (pow b 2))

simplify61.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0398648
11813559
25001551

prune343.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes198.0ms

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)

IterNodesCost
0158
1158

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20662×body80valid