Details

Time bar (total: 14.6s)

sample52.0ms

Algorithm
intervals
Results
20.0ms294×body80valid
0.0ms1×body1280valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12413
24613
37213
413213
522513
645313
7108513
8284513
done500013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite176.0ms

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:
24.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
20.0ms
(/ (* y z) 2.0)
128.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series233.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
31.0ms
(/ (* y z) 2.0)
97.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify1.1s

Counts
59 → 59
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0112788
1294737
21211689
done5001679

prune392.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y))))
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y)))) t)
0.3b
(/ 2.0 (* z y))
0.7b
(/ 1 (/ 2.0 (* z y)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
24×*-un-lft-identity
22×add-sqr-sqrt add-cube-cbrt
18×add-cbrt-cube
14×div-exp
11×add-log-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×prod-exp
3×rec-exp 1-exp
2×sub-neg associate-+l+ frac-2neg diff-log clear-num sum-log cbrt-unprod
1×+-commutative associate-+l- flip3-- pow-flip flip3-+ associate-*l/ associate-/r/ frac-sub flip-- flip-+ distribute-lft-out inv-pow
Counts
4 → 106
Calls
4 calls:
32.0ms
(- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y))))
186.0ms
(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y)))) t)
14.0ms
(/ 2.0 (* z y))
35.0ms
(/ 1 (/ 2.0 (* z y)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y))))
98.0ms
(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ 2.0 (* z y)))) t)
37.0ms
(/ 2.0 (* z y))
32.0ms
(/ 1 (/ 2.0 (* z y)))

simplify1.6s

Counts
118 → 118
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01811560
14661369
222041177
done50011167

prune669.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))
0.0b
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
0.0b
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
0.2b
(* (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))) (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×sqrt-prod
34×*-un-lft-identity
30×sqrt-div
21×pow1
14×add-cube-cbrt
12×swap-sqr
11×flip3-- frac-sub flip--
10×sqrt-pow1 pow1/2
9×frac-times distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×unswap-sqr
3×associate-*r/ pow-prod-down associate-*l/ pow-sqr
2×rem-sqrt-square
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
32.0ms
(- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))
41.0ms
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
42.0ms
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
206.0ms
(* (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))) (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))
119.0ms
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
125.0ms
(sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0)))
103.0ms
(* (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))) (sqrt (- (/ (* 1.0 x) 8.0) (/ (* y z) 2.0))))

simplify1.6s

Counts
135 → 135
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01553698
13412766
215022588
done50012525

prune775.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes598.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11613
done1613

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s9148×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid