Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms344×body80valid

simplify37.0ms

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 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
6×times-frac associate-/l* distribute-lft-out--
4×add-cube-cbrt
3×distribute-lft-out difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 47
Calls
2 calls:
19.0ms
(- (+ x y) z)
41.0ms
(/ (- (+ x y) z) (* t 2.0))

series57.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (+ x y) z)
38.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0235273
1843239
23900238
35001238

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
8×times-frac
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
4×add-cube-cbrt associate-/l* add-log-exp
3×div-inv distribute-lft-out distribute-lft-out--
2×pow1 cbrt-undiv div-exp associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod flip-+ sub-div difference-of-squares
Counts
2 → 44
Calls
2 calls:
9.0ms
(/ (+ x y) (* t 2.0))
29.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) (* t 2.0))
38.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0268324
1890289
23645287
35001287

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
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))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
75×times-frac
71×*-un-lft-identity
50×sqrt-prod
49×add-cube-cbrt
25×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
11×distribute-lft-out
9×unswap-sqr
7×pow1 associate-/l*
6×add-log-exp
5×cbrt-undiv div-exp
4×sqrt-div prod-exp cbrt-unprod
3×frac-times associate-/r* frac-sub div-inv
2×flip3-+ associate-*r/ associate-*l/ flip-+ associate-/l/
1×sub-neg rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 diff-log pow-prod-down clear-num *-commutative flip-- sub-div
Counts
4 → 156
Calls
4 calls:
4.0ms
(sqrt (+ x y))
13.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
8.0ms
(/ (sqrt (+ x y)) t)
42.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))

series265.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (+ x y))
102.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
53.0ms
(/ (sqrt (+ x y)) t)
74.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06981405
128061247
250021221

prune383.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
5.3b
(- (* (+ x y) (+ x y)) (* z z))
30.8b
(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
86×times-frac
45×distribute-lft-out
41×add-sqr-sqrt
39×add-cube-cbrt
30×associate-/l*
20×add-exp-log add-cbrt-cube
17×difference-of-squares
11×pow1
9×flip3-+ flip-+
7×cbrt-undiv div-exp
6×swap-sqr associate-/r* associate-/r/ add-log-exp
4×frac-times associate-*r* associate-*l* div-inv
3×div-sub prod-exp cbrt-unprod associate-/l/
2×distribute-rgt-in flip3-- frac-2neg distribute-lft-in associate-*r/ associate-*l/ associate--l+ clear-num flip--
1×pow2 sub-neg pow-plus diff-log pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 174
Calls
4 calls:
18.0ms
(* (+ x y) (+ x y))
51.0ms
(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
9.0ms
(- (* (+ x y) (+ x y)) (* z z))
37.0ms
(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

series213.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (+ x y) (+ x y))
83.0ms
(/ (/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z)) (* t 2.0))
59.0ms
(- (* (+ x y) (+ x y)) (* z z))
56.0ms
(/ (- (* (+ x y) (+ x y)) (* z z)) (+ (+ x y) z))

simplify111.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07141979
137391789
250011785

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample535.0ms

Algorithm
intervals
Results
274.0ms10832×body80valid