Details

Time bar (total: 28.7s)

sample19.0ms

Algorithm
intervals
Results
7.0ms230×body80valid
1.0ms10×body1280valid
1.0ms8×body640valid
0.0ms5×body320valid
0.0ms2×body2560valid
0.0ms1×body160valid

simplify275.0ms

Counts
1 → 1
Iterations
IterNodes
done249
6249
5248
4240
3145
253
120
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite227.0ms

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:
226.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

simplify2.6s

Counts
27 → 27
Iterations
IterNodes
done5034
33559
2515
1137
054

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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:
195.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
244.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
232.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
1.6s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
381.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
392.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
403.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))

simplify3.0s

Counts
181 → 181
Iterations
IterNodes
done5000
33917
2858
1319
0138

prune674.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

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))))) (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)))))))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
477×*-un-lft-identity
342×distribute-lft-out
155×cbrt-prod
54×swap-sqr
38×cbrt-div
23×add-sqr-sqrt
15×add-cube-cbrt
14×flip3-+ flip-+
12×associate-*r* associate-*l*
11×pow1
9×pow1/3
8×frac-times
6×add-exp-log
4×add-cbrt-cube associate-*l/ associate-*r/ insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 170
Calls
4 calls:
242.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
1.6s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
289.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
489.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

series2.2s

Counts
4 → 12
Calls
4 calls:
454.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
497.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
544.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
741.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

simplify3.3s

Counts
182 → 182
Iterations
IterNodes
done5001
34837
21195
1469
0217

prune785.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize78.0ms

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:
163.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
385.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
377.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
456.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

series2.6s

Counts
4 → 12
Calls
4 calls:
591.0ms
(cbrt (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
649.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
700.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))
701.0ms
(cbrt (* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x)))))))

simplify3.0s

Counts
89 → 89
Iterations
IterNodes
done5023
33238
2728
1297
0149

prune826.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample750.0ms

Algorithm
intervals
Results
437.0ms7366×body80valid
64.0ms222×body640valid
38.0ms197×body1280valid
13.0ms112×body320valid
10.0ms38×body2560valid
6.0ms76×body160valid