Details

Time bar (total: 10.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize13.0ms

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)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u fma-def associate-/r* log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
17.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
54.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.7s

Counts
73 → 73
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01281105
13111048
2925982
33728973
done5000971

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×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 fma-def associate-/l*
2×expm1-log1p-u div-exp associate-/r/ log1p-expm1-u 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 → 61
Calls
2 calls:
30.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
15.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series103.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
61.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01151045
1261938
2751891
33323885
done5001884

prune137.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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)))

rewrite121.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 215
Calls
4 calls:
81.0ms
(* (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)))
11.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
9.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))) (cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
153.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
149.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
158.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify948.0ms

Counts
227 → 227
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
02926568
16005924
217745783
done50005771

prune614.0ms

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)))

rewrite280.0ms

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×expm1-log1p-u pow1/3 log1p-expm1-u 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 → 488
Calls
4 calls:
40.0ms
(/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x))
168.0ms
(* (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)))
22.0ms
(cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (/ 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))))
158.0ms
(cbrt (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
205.0ms
(cbrt (/ (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)) (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify1.4s

Counts
500 → 500
Iterations

Useful iterations: 2 (688.0ms)

IterNodesCost
067018647
1139517685
2364116979
done500016979

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

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

sample432.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid