Details

Time bar (total: 5.6s)

sample53.0ms

Algorithm
intervals
Results
35.0ms652×body80valid

simplify79.0ms

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
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×prod-diff
15×pow1 add-exp-log
14×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
9×associate-*r*
7×fma-def
6×unpow-prod-down pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
8.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 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)
9.0ms
(* (* b b) (+ 3.0 a))

series497.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
244.0ms
(* (* a a) (- 1.0 a))
104.0ms
(pow (+ (* a a) (* b b)) 2.0)
37.0ms
(* (* b b) (+ 3.0 a))

simplify92.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0646990
13454779
25001776

prune333.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.1b
(* (* a a) (- 1.0 a))
0.2b
(fma (pow (+ (* a a) (* b b)) (/ 2.0 2)) (pow (+ (* a a) (* b b)) (/ 2.0 2)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.7b
(* (* b b) (+ 3.0 a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
34×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
24×distribute-rgt-in distribute-lft-in
22×associate-+l+
14×pow1 add-exp-log add-cbrt-cube
12×associate-*r/
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u sub-neg flip3-+ frac-add flip-+ log1p-expm1-u
3×flip3-- flip--
2×associate-+r+ associate-*l* *-commutative unswap-sqr
1×+-commutative fma-def sum-log fma-udef distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 125
Calls
4 calls:
13.0ms
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
10.0ms
(* (* a a) (- 1.0 a))
1.0ms
(fma (pow (+ (* a a) (* b b)) (/ 2.0 2)) (pow (+ (* a a) (* b b)) (/ 2.0 2)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
9.0ms
(* (* b b) (+ 3.0 a))

series262.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
51.0ms
(* (* a a) (- 1.0 a))
122.0ms
(fma (pow (+ (* a a) (* b b)) (/ 2.0 2)) (pow (+ (* a a) (* b b)) (/ 2.0 2)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
34.0ms
(* (* b b) (+ 3.0 a))

simplify111.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07051308
138611011
250011006

prune459.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* b b) (+ 3.0 a))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

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))
5.0ms
(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))

series487.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* b b) (+ 3.0 a))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270642
11138585
25001579

prune376.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

9.5b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.5b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

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

series604.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163728
1392678
21340660
35001660

prune407.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

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
02620
12620

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20466×body80valid