Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
16.0ms361×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
37.0ms
(/ (- (+ x y) z) (* t 2.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ y t) (/ x t))
0.0b
(- (+ (/ y t) (/ x t)) (/ z t))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
14.0ms
(+ (/ y t) (/ x t))
131.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series35.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (/ y t) (/ x t))
20.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify51.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0220339
1671323
22370316
35002316

prune103.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ z t) 3)
0.8b
(+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t)))
3.6b
(- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3))
36.8b
(/ (- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3)) (+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
423×*-un-lft-identity
385×times-frac
363×add-sqr-sqrt
272×frac-add
183×unpow-prod-down cube-prod
136×frac-times
133×add-cube-cbrt
120×difference-of-squares
105×distribute-lft-out--
88×flip3-+ flip-+
80×distribute-lft-out
76×associate-*r/
71×associate-/r/
64×associate-*l/
51×sqr-pow
49×associate-/l*
13×cube-div
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×frac-sub
5×pow1 difference-cubes associate-/l/
3×pow-unpow associate-/r* div-inv
2×cbrt-undiv associate-+l+ flip3-- div-exp pow-exp flip-- rem-cube-cbrt
1×+-commutative distribute-rgt-in cube-mult pow-to-exp sub-neg pow-pow frac-2neg distribute-lft-in diff-log unpow3 div-sub clear-num sum-log
Counts
4 → 477
Calls
4 calls:
4.0ms
(pow (/ z t) 3)
102.0ms
(+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t)))
282.0ms
(- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3))
734.0ms
(/ (- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3)) (+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t))))

series726.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (/ z t) 3)
175.0ms
(+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t)))
321.0ms
(- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3))
202.0ms
(/ (- (pow (+ (/ y t) (/ x t)) 3) (pow (/ z t) 3)) (+ (* (+ (/ y t) (/ x t)) (+ (+ (/ y t) (/ x t)) (/ z t))) (* (/ z t) (/ z t))))

simplify181.0ms

Algorithm
egg-herbie
Counts
489 → 489
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0234115426
1500215230

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample790.0ms

Algorithm
intervals
Results
491.0ms10834×body80valid