Details

Time bar (total: 5.2s)

sample54.0ms

Algorithm
intervals
Results
34.0ms690×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune6.0ms

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))))
0.0b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.9b
(* (* b b) (+ 3.0 a))

rewrite41.0ms

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:
15.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series248.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
53.0ms
(* (* a a) (- 1.0 a))
102.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify120.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07881033
14587830
25001830

prune333.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (cbrt 4.0))
0.9b
(* (* b b) (+ 3.0 a))
1.0b
(* (cbrt 4.0) (cbrt 4.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
20×cbrt-prod *-un-lft-identity
19×pow1
18×add-cube-cbrt
16×associate-*r*
14×add-exp-log
10×associate-*l* add-cbrt-cube
7×unswap-sqr
6×pow1/3 swap-sqr pow-prod-down
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow *-commutative
2×associate-*r/ pow-sqr pow-prod-up
1×pow2 distribute-rgt-in pow-to-exp pow-pow distribute-lft-in flip3-+ pow-plus pow-exp flip-+ distribute-lft-out sqr-pow
Counts
4 → 111
Calls
4 calls:
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
5.0ms
(* (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (cbrt 4.0))
8.0ms
(* (* b b) (+ 3.0 a))
6.0ms
(* (cbrt 4.0) (cbrt 4.0))

series226.0ms

Counts
4 → 10
Calls
4 calls:
104.0ms
(pow (+ (* a a) (* b b)) 2.0)
89.0ms
(* (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (cbrt 4.0))
32.0ms
(* (* b b) (+ 3.0 a))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0437757
12145694
25003657

prune372.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* b b) (+ 3.0 a))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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:
8.0ms
(* (* b b) (+ 3.0 a))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series488.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* b b) (+ 3.0 a))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0270642
11138585
25001579

prune338.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

10.2b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
10.2b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series600.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163728
1392678
21340660
35001660

prune493.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes131.0ms

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
02618
12618

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20581×body80valid