Details

Time bar (total: 27.9s)

sample56.0ms

Algorithm
intervals
Results
37.0ms304×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5027
51745
4352
396
238
116
08

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 1 expressions with local error:

6.8b
(* y (/ x z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
19.0ms
(* y (/ x z))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* y (/ x z))

simplify2.7s

Counts
38 → 38
Iterations
IterNodes
done5001
32617
2560
1177
073

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
302×times-frac
229×add-sqr-sqrt
160×cbrt-prod
143×*-un-lft-identity add-cube-cbrt
136×associate-*l*
25×add-exp-log
22×associate-*r*
21×unswap-sqr
16×add-cbrt-cube
9×cbrt-undiv div-exp
8×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)
30.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

series981.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt z)
316.0ms
(cbrt z)
309.0ms
(cbrt z)
115.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

simplify2.1s

Counts
260 → 260
Iterations
IterNodes
done5001
23623
1949
0288

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.0b
(* (/ (/ (/ y (cbrt z)) (cbrt z)) (cbrt (* (cbrt z) (cbrt z)))) (/ x (cbrt (cbrt z))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
1712×times-frac
928×add-sqr-sqrt
765×cbrt-prod
655×*-un-lft-identity add-cube-cbrt
548×associate-*l*
60×unswap-sqr
36×add-exp-log
31×associate-*r*
30×div-inv
20×add-cbrt-cube
16×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 712
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
73.0ms
(* (/ (/ (/ y (cbrt z)) (cbrt z)) (cbrt (* (cbrt z) (cbrt z)))) (/ x (cbrt (cbrt z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt z)
339.0ms
(cbrt z)
343.0ms
(cbrt z)
71.0ms
(* (/ (/ (/ y (cbrt z)) (cbrt z)) (cbrt (* (cbrt z) (cbrt z)))) (/ x (cbrt (cbrt z))))

simplify2.8s

Counts
724 → 724
Iterations
IterNodes
done5001
12862
0816

prune6.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ (/ (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))) (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (* (cbrt (cbrt (* (cbrt z) (cbrt z)))) (cbrt (cbrt (* (cbrt z) (cbrt z)))))) (* (/ (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (cbrt (cbrt (* (cbrt z) (cbrt z))))) (/ x (cbrt (cbrt z)))))
3.9b
(cbrt (/ y (cbrt z)))
3.9b
(cbrt (/ y (cbrt z)))
3.9b
(cbrt (/ y (cbrt z)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
540×add-exp-log
237×add-cbrt-cube
234×prod-exp cbrt-unprod
225×cbrt-undiv div-exp
93×cbrt-prod
60×times-frac
45×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 associate-*l*
5×frac-times associate-*r/ div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative
Counts
4 → 286
Calls
4 calls:
203.0ms
(* (/ (/ (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))) (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (* (cbrt (cbrt (* (cbrt z) (cbrt z)))) (cbrt (cbrt (* (cbrt z) (cbrt z)))))) (* (/ (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (cbrt (cbrt (* (cbrt z) (cbrt z))))) (/ x (cbrt (cbrt z)))))
3.0ms
(cbrt (/ y (cbrt z)))
3.0ms
(cbrt (/ y (cbrt z)))
4.0ms
(cbrt (/ y (cbrt z)))

series771.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (/ (/ (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))) (* (cbrt (cbrt z)) (cbrt (cbrt z)))) (* (cbrt (cbrt (* (cbrt z) (cbrt z)))) (cbrt (cbrt (* (cbrt z) (cbrt z)))))) (* (/ (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (cbrt (cbrt (* (cbrt z) (cbrt z))))) (/ x (cbrt (cbrt z)))))
242.0ms
(cbrt (/ y (cbrt z)))
242.0ms
(cbrt (/ y (cbrt z)))
232.0ms
(cbrt (/ y (cbrt z)))

simplify3.4s

Counts
298 → 298
Iterations
IterNodes
done5001
11230
0398

prune2.1s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes502.0ms

Accuracy

0% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample1.3s

Algorithm
intervals
Results
965.0ms9600×body80valid