Details

Time bar (total: 27.0s)

sample40.0ms

Algorithm
intervals
Results
20.0ms304×body80valid

simplify1.4s

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

localize9.0ms

Local error

Found 1 expressions with local error:

6.8b
(* y (/ x z))

rewrite15.0ms

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:
14.0ms
(* y (/ x z))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* y (/ x z))

simplify2.4s

Counts
38 → 38
Iterations
IterNodes
done5001
32617
2560
1177
073

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite47.0ms

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)
1.0ms
(cbrt z)
39.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

series967.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt z)
287.0ms
(cbrt z)
298.0ms
(cbrt z)
93.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

simplify2.1s

Counts
260 → 260
Iterations
IterNodes
done5001
23623
1949
0288

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

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))))

rewrite114.0ms

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)
72.0ms
(* (/ (/ (/ y (cbrt z)) (cbrt z)) (cbrt (* (cbrt z) (cbrt z)))) (/ x (cbrt (cbrt z))))

series864.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt z)
264.0ms
(cbrt z)
250.0ms
(cbrt z)
76.0ms
(* (/ (/ (/ y (cbrt z)) (cbrt z)) (cbrt (* (cbrt z) (cbrt z)))) (/ x (cbrt (cbrt z))))

simplify2.6s

Counts
724 → 724
Iterations
IterNodes
done5001
12862
0816

prune6.0s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize116.0ms

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)))

rewrite273.0ms

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:
249.0ms
(* (/ (/ (* (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)))
2.0ms
(cbrt (/ y (cbrt z)))

series823.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ (/ (* (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)))))
282.0ms
(cbrt (/ y (cbrt z)))
267.0ms
(cbrt (/ y (cbrt z)))
235.0ms
(cbrt (/ y (cbrt z)))

simplify3.8s

Counts
298 → 298
Iterations
IterNodes
done5001
11230
0398

prune1.7s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes693.0ms

Accuracy

0% (3.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample976.0ms

Algorithm
intervals
Results
575.0ms9600×body80valid