Details

Time bar (total: 3.2s)

sample26.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify36.0ms

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: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (+ x y) z) (* t 2.0))

rewrite39.0ms

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:
38.0ms
(/ (- (+ x y) z) (* t 2.0))

series39.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.2b
(/ z (* t 2.0))
0.2b
(/ (+ x y) (* t 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×times-frac
9×add-sqr-sqrt
7×add-cube-cbrt associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1 distribute-lft-out distribute-lft-out--
2×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- flip3-+ diff-log frac-sub flip-- flip-+ sub-div difference-of-squares
Counts
3 → 65
Calls
3 calls:
27.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
3.0ms
(/ z (* t 2.0))
8.0ms
(/ (+ x y) (* t 2.0))

series92.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
18.0ms
(/ z (* t 2.0))
37.0ms
(/ (+ x y) (* t 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0313405
11078360
24761358
35001358

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
9.7b
(cbrt (/ z (* t 2.0)))
9.7b
(cbrt (/ z (* t 2.0)))
9.7b
(cbrt (/ z (* t 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
30×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×times-frac
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
12.0ms
(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
2.0ms
(cbrt (/ z (* t 2.0)))
2.0ms
(cbrt (/ z (* t 2.0)))
2.0ms
(cbrt (/ z (* t 2.0)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (cbrt (/ z (* t 2.0))) (cbrt (/ z (* t 2.0))))
91.0ms
(cbrt (/ z (* t 2.0)))
91.0ms
(cbrt (/ z (* t 2.0)))
91.0ms
(cbrt (/ z (* t 2.0)))

simplify119.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0220841
1773782
23987737
35002732

prune332.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
0.1b
(/ (sqrt (+ x y)) t)
0.2b
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))
0.2b
(/ z (* t 2.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
78×times-frac
70×*-un-lft-identity
50×add-cube-cbrt
46×sqrt-prod
25×associate-*r* associate-*l*
23×add-exp-log add-cbrt-cube
10×distribute-lft-out associate-/l*
9×unswap-sqr
7×cbrt-undiv div-exp
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×associate-/r* div-inv
3×frac-times frac-sub
2×frac-2neg sqrt-div associate-*r/ associate-*l/ clear-num associate-/l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ sub-div
Counts
4 → 161
Calls
4 calls:
13.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
8.0ms
(/ (sqrt (+ x y)) t)
41.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))
3.0ms
(/ z (* t 2.0))

series243.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
52.0ms
(/ (sqrt (+ x y)) t)
76.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))
18.0ms
(/ z (* t 2.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07041397
128821238
250021214

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample743.0ms

Algorithm
intervals
Results
477.0ms10927×body80valid