Details

Time bar (total: 51.4s)

sample64.0ms

Algorithm
intervals
Results
21.0ms233×body80valid
7.0ms24×body640valid
4.0ms18×body320valid
3.0ms8×body1280valid
1.0ms8×body160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011245
120245
243245
3103245
4266245
5661245
61620245
done5000245

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.5b
(+ x (/ (* (- y z) (- t x)) (- a z)))
18.6b
(/ (* (- y z) (- t x)) (- a z))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-cbrt-cube add-exp-log
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 associate-/r* times-frac associate-*r* associate-*l* add-log-exp
4×associate-*l/ associate-*r/ distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
57.0ms
(* (- y z) (- t x))
32.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
45.0ms
(/ (* (- y z) (- t x)) (- a z))

series464.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (- y z) (- t x))
218.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
184.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify2.0s

Counts
90 → 90
Iterations

Useful iterations: 2 (558.0ms)

IterNodesCost
016225518
147822395
2185221995
done501221995

prune618.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
2.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
10.8b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*l/ associate-*r/
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
155.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (- a z))
243.0ms
(cbrt (- a z))
445.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
257.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify4.1s

Counts
146 → 146
Iterations

Useful iterations: done (4.1s)

IterNodesCost
025564937
174559777
2289959416
done500252796

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
2.5b
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
11.5b
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite806.0ms

Algorithm
rewrite-expression-head
Rules
332×cbrt-div
137×frac-times
111×flip3-- flip--
95×add-sqr-sqrt
89×associate-*l*
82×associate-/r/
81×cbrt-prod
73×*-un-lft-identity
70×times-frac
61×associate-*r*
60×add-exp-log
45×associate-*l/ associate-*r/
38×add-cbrt-cube
35×add-cube-cbrt
28×prod-exp cbrt-unprod
19×distribute-lft-out-- difference-of-squares
16×cbrt-undiv div-exp
8×unswap-sqr
6×pow1 add-log-exp
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 235
Calls
4 calls:
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
760.0ms
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
6.0ms
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (- a z))
193.0ms
(cbrt (- a z))
515.0ms
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
249.0ms
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify3.0s

Counts
247 → 247
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0448161727
11404148828
done5000148227

prune2.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.1b

localize134.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.6b
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
2.5b
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z)))))
11.5b
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite3.3s

Algorithm
rewrite-expression-head
Rules
5048×cbrt-div
2193×frac-times
1466×flip3-- flip--
737×associate-*l*
730×associate-/r/
695×associate-*r/
569×associate-*l/
88×add-exp-log
81×add-sqr-sqrt
74×cbrt-prod
70×*-un-lft-identity
63×times-frac
61×associate-*r*
52×add-cbrt-cube
46×prod-exp cbrt-unprod
34×add-cube-cbrt
22×cbrt-undiv div-exp
18×distribute-lft-out-- difference-of-squares
6×pow1 add-log-exp
4×unswap-sqr
2×pow1/3 div-inv
1×+-commutative sum-log flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 889
Calls
4 calls:
8.0ms
(cbrt (- a z))
11.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
2.7s
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z)))))
6.0ms
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (- a z))
212.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
423.0ms
(* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z)))))
229.0ms
(+ x (* (/ (- y z) (* (* (cbrt (cbrt (- a z))) (cbrt (- a z))) (* (cbrt (cbrt (- a z))) (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify8.2s

Counts
901 → 901
Iterations

Useful iterations: done (7.9s)

IterNodesCost
01224836155
14187773691
done5001758530

prune15.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.1b

regimes1.3s

Accuracy

41.7% (4.7b remaining)

Error of 8.9b against oracle of 4.1b and baseline of 12.2b

bsearch4.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
0421667
1551667
done551667

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s7746×body80valid
103.0ms474×body640valid
69.0ms269×body1280valid
63.0ms409×body320valid
30.0ms251×body160valid
2.0ms8×body2560valid