Details

Time bar (total: 9.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11512
22212
done2212

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 53
Calls
3 calls:
16.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
54.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.5s

Counts
62 → 62
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01181020
1288974
2839907
33386895
done5000894

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.1b
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
6×add-exp-log
5×associate-/r*
4×add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×pow1 associate-/l*
2×div-exp associate-/r/ div-inv distribute-lft-out
1×cbrt-undiv +-commutative rec-exp flip3-- pow-flip frac-2neg flip3-+ 1-exp clear-num sum-log flip-- flip-+ inv-pow
Counts
2 → 54
Calls
2 calls:
26.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
16.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series102.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
62.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify1.5s

Counts
60 → 60
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0111997
1251894
2711848
33116842
done5000841

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
187×cbrt-prod
157×add-sqr-sqrt
145×*-un-lft-identity
133×times-frac
75×add-cube-cbrt
32×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3 div-inv
7×cbrt-div flip3-- flip--
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 207
Calls
4 calls:
78.0ms
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
10.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
145.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
148.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
151.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify708.0ms

Counts
219 → 219
Iterations

Useful iterations: done (697.0ms)

IterNodesCost
02886448
15885821
216835697
done50015679

prune549.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))
0.2b
(* (cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
0.4b
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
23.6b
(cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x)))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
617×times-frac
536×add-sqr-sqrt
480×*-un-lft-identity
303×cbrt-prod
234×add-cube-cbrt
118×distribute-lft-out-- difference-of-squares
114×associate-*l*
42×associate-/r/
26×div-inv
24×associate-*r* unswap-sqr
21×flip3-- flip-- associate-/l*
15×add-exp-log
9×pow1 add-cbrt-cube
6×cbrt-div div-exp
5×associate-/r*
4×pow1/3 add-log-exp
3×cbrt-undiv
2×pow-prod-down pow-div
1×frac-times rec-exp pow-flip frac-2neg 1-exp associate-*r/ pow3 associate-*l/ prod-exp clear-num *-commutative cbrt-unprod associate-/l/ inv-pow
Counts
4 → 480
Calls
4 calls:
40.0ms
(/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))
166.0ms
(* (cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
8.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
21.0ms
(cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))
63.0ms
(* (cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
146.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
197.0ms
(cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify1.2s

Counts
492 → 492
Iterations

Useful iterations: done (1.2s)

IterNodesCost
066218475
1137617543
2346116844
done500016840

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes127.0ms

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
01112
11512
done1512

end0.0ms

sample418.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid