Details

Time bar (total: 29.9s)

sample39.0ms

Algorithm
intervals
Results
16.0ms230×body80valid
3.0ms10×body1280valid
2.0ms8×body640valid
1.0ms5×body320valid
1.0ms2×body2560valid
0.0ms1×body160valid

simplify323.0ms

Counts
1 → 1
Iterations
IterNodes
done222
6222
5221
4213
3137
254
120
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (+ (+ y x) (+ y x))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 24
Calls
1 calls:
238.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

simplify2.2s

Counts
27 → 27
Iterations
IterNodes
done5013
33801
2526
1137
054

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.5b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.5b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.5b
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
502×*-un-lft-identity
361×distribute-lft-out
151×cbrt-prod
54×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
12×associate-*r* associate-*l*
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 169
Calls
4 calls:
270.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
180.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
231.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
1.6s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
418.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
420.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
483.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
497.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))

simplify3.1s

Counts
181 → 181
Iterations
IterNodes
done5003
34247
2897
1319
0138

prune524.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (* (cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))) (cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))))
0.5b
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
0.6b
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
0.6b
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

rewrite3.9s

Algorithm
rewrite-expression-head
Rules
478×*-un-lft-identity
378×cbrt-div
342×distribute-lft-out
156×cbrt-prod
144×frac-times
121×flip3-+ flip-+
55×swap-sqr
54×associate-*r/
48×associate-*l/
24×add-sqr-sqrt associate-*l*
17×add-cube-cbrt
16×pow1
13×associate-*r*
11×pow1/3 add-exp-log
7×pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 260
Calls
4 calls:
1.6s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (* (cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))) (cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))))
1.7s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
193.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
386.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

series2.3s

Counts
4 → 12
Calls
4 calls:
522.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (* (cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))) (cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))))
529.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
501.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
700.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

simplify2.6s

Counts
272 → 272
Iterations
IterNodes
done5000
22417
1927
0369

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
0.6b
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
0.6b
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
0.6b
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
64×cbrt-div
31×*-un-lft-identity
24×cbrt-prod
19×flip3-+ flip-+ distribute-lft-out
12×frac-times
6×add-sqr-sqrt associate-*l/ associate-*r/ add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 77
Calls
4 calls:
209.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
432.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
364.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
416.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

series2.7s

Counts
4 → 12
Calls
4 calls:
539.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
759.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
732.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
661.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

simplify2.4s

Counts
89 → 89
Iterations
IterNodes
done5012
33484
2758
1297
0149

prune898.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample838.0ms

Algorithm
intervals
Results
481.0ms7366×body80valid
76.0ms197×body1280valid
54.0ms112×body320valid
40.0ms222×body640valid
10.0ms38×body2560valid
7.0ms76×body160valid