Details

Time bar (total: 2.7s)

sample24.0ms

Algorithm
intervals
Results
12.0ms342×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite10.0ms

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:
9.0ms
(/ (- (+ x y) z) (* t 2.0))

series38.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune65.0ms

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

rewrite32.0ms

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:
11.0ms
(+ (/ y t) (/ x t))
19.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series38.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (/ y t) (/ x t))
22.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify53.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0220339
1671323
22370316
35002316

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* t 2.0) (- (+ x y) z))
0.3b
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
55×*-un-lft-identity
37×add-sqr-sqrt
28×add-exp-log
25×add-cube-cbrt
18×associate-/r*
16×add-cbrt-cube
14×div-exp
12×distribute-lft-out--
11×associate-/r/
7×cbrt-undiv
6×div-inv distribute-lft-out difference-of-squares
5×flip3-- flip--
4×prod-exp associate-/l*
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip inv-pow
Counts
2 → 105
Calls
2 calls:
9.0ms
(/ (* t 2.0) (- (+ x y) z))
11.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (* t 2.0) (- (+ x y) z))
48.0ms
(/ 1 (/ (* t 2.0) (- (+ x y) z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0419879
12123771
25002694

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z)))))
0.2b
(* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z))))
0.5b
(sqrt (/ (* t 2.0) (- (+ x y) z)))
0.5b
(sqrt (/ (* t 2.0) (- (+ x y) z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
90×sqrt-prod
76×*-un-lft-identity
51×times-frac
48×add-sqr-sqrt
37×pow1
23×swap-sqr
22×add-cube-cbrt
20×distribute-lft-out--
18×sqrt-pow1 pow1/2
17×add-exp-log
15×associate-*r* associate-*l* associate-/r/
14×pow-flip
11×add-cbrt-cube
10×sqrt-div pow-prod-up distribute-lft-out
7×div-inv
6×flip3-- pow-prod-down pow-sqr flip-- difference-of-squares
4×div-exp prod-exp add-log-exp unswap-sqr
3×associate-/l*
2×cbrt-undiv pow2 frac-times rem-sqrt-square rec-exp pow-plus 1-exp associate-*r/ associate-*l/ cbrt-unprod
1×frac-2neg sqrt-unprod clear-num associate-/r* rem-square-sqrt *-commutative inv-pow
Counts
4 → 174
Calls
4 calls:
20.0ms
(/ 1 (* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z)))))
23.0ms
(* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z))))
8.0ms
(sqrt (/ (* t 2.0) (- (+ x y) z)))
8.0ms
(sqrt (/ (* t 2.0) (- (+ x y) z)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(/ 1 (* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z)))))
155.0ms
(* (sqrt (/ (* t 2.0) (- (+ x y) z))) (sqrt (/ (* t 2.0) (- (+ x y) z))))
88.0ms
(sqrt (/ (* t 2.0) (- (+ x y) z)))
99.0ms
(sqrt (/ (* t 2.0) (- (+ x y) z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
03931469
119151253
250011196

prune372.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes173.0ms

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
0136
1136

end0.0ms

sample547.0ms

Algorithm
intervals
Results
291.0ms10862×body80valid