Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms341×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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
add-exp-log times-frac add-cbrt-cube associate-/l*
distribute-lft-out--
add-cube-cbrt
cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
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:
10.0ms
(/ (- (+ x y) z) (* t 2.0))

series41.0ms

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

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0208207
1763178
23630178
35002178

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
63×*-un-lft-identity
56×prod-diff
38×add-sqr-sqrt
36×add-cube-cbrt
19×div-inv
11×distribute-lft-out
fma-neg
add-exp-log add-cbrt-cube
associate-/l* add-log-exp
distribute-lft-out--
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/
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 → 112
Calls
2 calls:
6.0ms
(/ (+ x y) (* t 2.0))
13.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ x y) (* t 2.0))
38.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04761714
115491268
250011158

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
24×prod-diff
22×add-sqr-sqrt
20×add-exp-log
18×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in
10×prod-exp add-cbrt-cube
associate-*l* distribute-lft-out
associate-*r*
div-exp cbrt-unprod
pow1 times-frac
cbrt-undiv frac-times sub-neg rec-exp flip3-- 1-exp associate-*r/ associate--l+ flip-- distribute-lft-out--
expm1-log1p-u pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp difference-of-squares unswap-sqr
Counts
1 → 70
Calls
1 calls:
14.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0469808
12330520
25001494

prune92.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (+ x y) (* t 2.0))) (cbrt (/ (+ x y) (* t 2.0))))
3.6b
(cbrt (/ (+ x y) (* t 2.0)))
3.6b
(cbrt (/ (+ x y) (* t 2.0)))
3.6b
(cbrt (/ (+ x y) (* t 2.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
42×*-un-lft-identity
32×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
13×swap-sqr
11×pow1 associate-*r* associate-*l*
pow1/3 distribute-lft-out
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
13.0ms
(* (cbrt (/ (+ x y) (* t 2.0))) (cbrt (/ (+ x y) (* t 2.0))))
5.0ms
(cbrt (/ (+ x y) (* t 2.0)))
5.0ms
(cbrt (/ (+ x y) (* t 2.0)))
5.0ms
(cbrt (/ (+ x y) (* t 2.0)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (/ (+ x y) (* t 2.0))) (cbrt (/ (+ x y) (* t 2.0))))
154.0ms
(cbrt (/ (+ x y) (* t 2.0)))
151.0ms
(cbrt (/ (+ x y) (* t 2.0)))
159.0ms
(cbrt (/ (+ x y) (* t 2.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03471243
112301173
250021107

prune441.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes312.0ms

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
0126
1126

end0.0ms

sample549.0ms

Algorithm
intervals
Results
281.0ms10850×body80valid