Details

Time bar (total: 16.2s)

sample32.0ms

Algorithm
intervals
Results
12.0ms299×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1883
21083
31383
41583
51683
done1683

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize13.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (* x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
15.0ms
(/ (* x y) z)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) z)

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 3 (807.0ms)

IterNodesCost
0503969
11203677
24613597
321953437
done50003437

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
42.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series852.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt z)
275.0ms
(cbrt z)
248.0ms
(cbrt z)
60.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.7s

Counts
112 → 112
Iterations

Useful iterations: done (2.7s)

IterNodesCost
014431910
144529356
2186928915
done500224275

prune629.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
9.8b
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
19×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
14×cbrt-prod
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u frac-times associate-*l/ associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 103
Calls
4 calls:
44.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
20.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
31.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
38.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
140.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
129.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))
142.0ms
(cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))

simplify3.2s

Counts
115 → 115
Iterations

Useful iterations: done (3.2s)

IterNodesCost
017243439
148141949
2180741464
done500131584

prune808.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ x (/ z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
22.0ms
(/ x (/ z y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ x (/ z y))

simplify2.7s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
015221293
137019909
297119056
3343618975
done500018975

prune383.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes462.0ms

Accuracy

89.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
023847
126847
done26847

end0.0ms

sample702.0ms

Algorithm
intervals
Results
358.0ms9626×body80valid