Details

Time bar (total: 6.4s)

sample58.0ms

Algorithm
intervals
Results
35.0ms627×body80valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune3.0ms

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ 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 → 92
Calls
4 calls:
84.0ms
(* 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)

series262.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
46.0ms
(* (* a a) (+ 1.0 a))
49.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
105.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0658794
13720707
25001707

prune301.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b
(* (* b b) (- 1.0 (* 3.0 a)))
0.1b
(* (* a a) (- (* 1.0 1.0) (* a a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
16×add-sqr-sqrt
15×pow1
14×*-un-lft-identity
10×add-cube-cbrt
9×prod-exp cbrt-unprod
7×associate-*r*
6×associate-*r/ pow-prod-down
5×times-frac associate-/r*
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- add-log-exp
3×cbrt-undiv unpow-prod-down pow-unpow div-exp difference-of-squares
2×associate-*l* associate-/r/ *-commutative associate-/l/ distribute-lft-out-- unswap-sqr
1×pow-to-exp pow-pow frac-2neg pow-exp clear-num div-inv associate-/l* sqr-pow
Counts
4 → 99
Calls
4 calls:
39.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
27.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
41.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series343.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
46.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
77.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
107.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify94.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0578807
13130678
25001678

prune344.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
77.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series613.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
150.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
02111498
16811419
232741337
350011330

prune545.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

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 pow1/3 add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
11.0ms
(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))
8.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series625.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0102632
1220588
2765580
33241572
45001572

prune390.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes186.0ms

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
02919
12919

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s20509×body80valid