Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms301×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1214
2244
3254
4254

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))
0.2b
(/ (* x y) 2.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
10.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
5.0ms
(/ (* x y) 2.0)

series67.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
24.0ms
(/ (* x y) 2.0)

simplify79.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune83.0ms

Filtered
43 candidates to 31 candidates (72.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x (/ y 2.0)) (/ z 8.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log associate-*r/ frac-sub add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
7.0ms
(- (* x (/ y 2.0)) (/ z 8.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (* x (/ y 2.0)) (/ z 8.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0106107
131798
2103797
3324197
4500197

prune32.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
0.3b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.5b
(/ y (sqrt 2.0))
0.5b
(/ x (sqrt 2.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod div-inv
3×frac-sub
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 166
Calls
4 calls:
11.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
20.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ y (sqrt 2.0))
4.0ms
(/ x (sqrt 2.0))

series419.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
134.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
52.0ms
(/ y (sqrt 2.0))
58.0ms
(/ x (sqrt 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05311196
123571112
250011044

prune351.0ms

Filtered
178 candidates to 113 candidates (63.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))))
0.3b
(* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0)))
0.5b
(/ y (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
134×times-frac
133×add-sqr-sqrt
124×sqrt-prod
99×add-exp-log
92×add-cube-cbrt *-un-lft-identity
62×associate-*l*
61×add-cbrt-cube
40×prod-exp
33×div-exp
23×associate-*r*
22×cbrt-unprod
19×cbrt-undiv
15×associate-/r*
14×pow1
12×unswap-sqr
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×pow-flip div-inv
4×sqrt-pow1 pow-prod-down associate-*l/ add-log-exp
2×frac-2neg pow1/2 clear-num *-commutative
1×inv-pow
Counts
4 → 262
Calls
4 calls:
22.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))))
21.0ms
(* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0)))
4.0ms
(/ y (sqrt 2.0))
6.0ms
(/ 1 (sqrt (sqrt 2.0)))

series396.0ms

Counts
4 → 10
Calls
4 calls:
128.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0))))
206.0ms
(* (/ x (sqrt (sqrt 2.0))) (/ y (sqrt 2.0)))
62.0ms
(/ y (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify108.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08082418
147441990
250011837

prune566.0ms

Filtered
272 candidates to 148 candidates (54.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
0104
1104

end0.0ms

sample419.0ms

Algorithm
intervals
Results
229.0ms9166×body80valid