Details

Time bar (total: 4.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms282×body80valid
0.0msbody1280valid

simplify369.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12413
24513
37013
49413
510913
611813
715113
822413
934013
1042213
done42213

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)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 times-frac associate-/r*
cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
+-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)
34.0ms
(+ (- (* (/ 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))
17.0ms
(/ (* y z) 2.0)
56.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify1.4s

Counts
59 → 59
Iterations

Useful iterations: 3 (371.0ms)

IterNodesCost
0112788
1288737
2976689
34434679
done5000679

prune301.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
53×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
18×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l* add-log-exp
div-inv
cbrt-undiv div-exp
pow1
sub-neg associate-+l+ frac-2neg diff-log prod-exp clear-num sum-log cbrt-unprod
+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 149
Calls
4 calls:
18.0ms
(- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0)))
107.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))) t)
4.0ms
(/ (* y z) (sqrt 2.0))
9.0ms
(/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))

series564.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0)))
185.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))) t)
69.0ms
(/ (* y z) (sqrt 2.0))
119.0ms
(/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))

simplify801.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
02202670
15612184
220901979
done50001979

prune302.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
11613
done1613

end0.0ms

sample530.0ms

Algorithm
intervals
Results
301.0ms9068×body80valid
0.0msbody2560valid
0.0msbody1280valid
0.0msbody160valid