Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms348×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
42.0ms
(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0208207
1763178
23630178
35002178

prune66.0ms

Filtered
35 candidates to 25 candidates (71.4%)
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
(- (+ (/ y t) (/ x t)) (/ z t))
0.0b
(+ (/ y t) (/ x t))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
181×times-frac
117×add-sqr-sqrt
112×add-cube-cbrt
104×prod-diff
64×distribute-lft-out
39×div-inv
15×distribute-rgt-out
13×fma-def
9×add-log-exp
8×fma-neg
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 170
Calls
2 calls:
228.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
20.0ms
(+ (/ y t) (/ x t))

series35.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
16.0ms
(+ (/ y t) (/ x t))

simplify61.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
06143133
118522255
250012011

prune232.0ms

Filtered
176 candidates to 73 candidates (41.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))
0.3b
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.5b
(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.5b
(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
78×sqrt-prod
54×times-frac
52×add-sqr-sqrt
24×distribute-lft-out--
22×add-cube-cbrt
21×pow1 swap-sqr
13×associate-*r* associate-*l*
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×difference-of-squares
7×div-inv
6×sqrt-div associate-/l*
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ clear-num associate-/r* rem-square-sqrt *-commutative flip--
Counts
4 → 159
Calls
4 calls:
42.0ms
(/ (- (+ x y) z) (* t 2.0))
89.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
21.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
19.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (- (+ x y) z) (* t 2.0))
187.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
117.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
117.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04061189
117861083
250021060

prune355.0ms

Filtered
171 candidates to 105 candidates (61.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes401.0ms

Accuracy

0% (0.0b 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

sample558.0ms

Algorithm
intervals
Results
283.0ms10979×body80valid