Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms291×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(/ (* y z) 2.0)
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
3.0ms
(/ (* y z) 2.0)
33.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
20.0ms
(/ (* y z) 2.0)
52.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify31.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0282355
11056330
25001330

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
0.3b
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b
(/ z (sqrt 2.0))
0.4b
(/ y (sqrt 2.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
62×*-un-lft-identity
60×add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×add-log-exp unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×prod-exp cbrt-unprod div-inv
2×associate-+l+ frac-2neg clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out
Counts
4 → 167
Calls
4 calls:
22.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
25.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
3.0ms
(/ z (sqrt 2.0))
3.0ms
(/ y (sqrt 2.0))

series417.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ (- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))) t)
117.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
52.0ms
(/ z (sqrt 2.0))
55.0ms
(/ y (sqrt 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05331256
123361149
250021082

prune466.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
0.3b
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
0.4b
(/ z (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite99.0ms

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:
46.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
30.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
5.0ms
(/ z (sqrt 2.0))
5.0ms
(/ 1 (sqrt (sqrt 2.0)))

series367.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))))
192.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt 2.0)))
57.0ms
(/ z (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify128.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08082414
147441988
250011835

prune640.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes172.0ms

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
0166
1166

end0.0ms

sample510.0ms

Algorithm
intervals
Results
287.0ms9135×body80valid
0.0ms1×body640valid