Details

Time bar (total: 2.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms352×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))

rewrite9.0ms

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:
8.0ms
(/ (- (+ x y) z) (* t 2.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (- (+ 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

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
12.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
6.0ms
(/ (+ x y) (* t 2.0))

series66.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
32.0ms
(/ (+ x y) (* t 2.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0268324
1890289
23645287
35001287

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (/ 1 (* t 2.0)) (- (+ x y) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
10×prod-exp add-cbrt-cube
9×*-un-lft-identity
8×add-sqr-sqrt
7×associate-*l*
6×associate-*r*
4×add-cube-cbrt div-exp cbrt-unprod
3×pow1 distribute-rgt-in distribute-lft-in times-frac
2×cbrt-undiv frac-times sub-neg rec-exp flip3-- 1-exp associate-*r/ associate--l+ flip-- distribute-lft-out--
1×pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp difference-of-squares unswap-sqr
Counts
1 → 44
Calls
1 calls:
12.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342335
11746269
25001267

prune77.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
75×times-frac
67×*-un-lft-identity
47×add-cube-cbrt
46×sqrt-prod
25×associate-*r* associate-*l*
17×add-exp-log add-cbrt-cube
10×distribute-lft-out
9×unswap-sqr
7×associate-/l*
5×pow1 cbrt-undiv div-exp add-log-exp
4×prod-exp cbrt-unprod
3×frac-times associate-/r* frac-sub div-inv
2×sqrt-div associate-*r/ associate-*l/ associate-/l/
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-- flip-+ sub-div
Counts
3 → 140
Calls
3 calls:
15.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
6.0ms
(/ (sqrt (+ x y)) t)
22.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))

series210.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0)) (/ z (* t 2.0)))
44.0ms
(/ (sqrt (+ x y)) t)
73.0ms
(* (/ (sqrt (+ x y)) t) (/ (sqrt (+ x y)) 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06361316
126301167
250011143

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample605.0ms

Algorithm
intervals
Results
316.0ms10876×body80valid