Details

Time bar (total: 15.9s)

sample21.0ms

Algorithm
intervals
Results
7.0ms316×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize4.0ms

Local error

Found 1 expressions with local error:

8.2b
(* (/ y z) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
14.0ms
(* (/ y z) x)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (/ y z) x)

simplify3.9s

Counts
37 → 37
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
76.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series595.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
188.0ms
(cbrt y)
184.0ms
(cbrt y)
27.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify1.4s

Counts
102 → 102
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01251658
13521592
21811818
done5000539

prune195.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt z)) x))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
80×prod-exp cbrt-unprod
69×add-cbrt-cube
35×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
322.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt z)) x))

series589.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
190.0ms
(cbrt y)
185.0ms
(cbrt y)
26.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt z)) x))

simplify2.0s

Counts
122 → 122
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01663289
14863162
227361716
done5000669

prune226.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(/ (* (cbrt y) x) (cbrt z))
2.7b
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×add-exp-log
8×times-frac
6×associate-/r* add-cbrt-cube
5×pow1 sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv rem-sqrt-square pow1/3 div-exp div-inv
1×frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(/ (* (cbrt y) x) (cbrt z))
12.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt y)
185.0ms
(cbrt y)
86.0ms
(/ (* (cbrt y) x) (cbrt z))
73.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0126771
1230707
2610575
32337561
done5000542

prune304.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0.2% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02055
12637
done2637

end0.0ms

sample561.0ms

Algorithm
intervals
Results
241.0ms9582×body80valid