Details

Time bar (total: 9.8s)

sample18.0ms

Algorithm
intervals
Results
5.0ms302×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
11.0ms
(/ (* x y) z)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* x y) z)

simplify2.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ x (/ z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
10.0ms
(/ x (/ z y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ x (/ z y))

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: 3 (690.0ms)

IterNodesCost
0152892
1313825
2947785
32760783
done5000783

prune184.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
160×add-sqr-sqrt
125×cbrt-prod associate-*r*
124×add-cube-cbrt *-un-lft-identity
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
12×unswap-sqr
6×pow1
5×associate-*l* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 225
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
113.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
185.0ms
(cbrt z)
194.0ms
(cbrt z)
25.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

simplify707.0ms

Counts
237 → 237
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
04315012
113754678
done50004066

prune675.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

rewrite454.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
157×add-exp-log
145×add-sqr-sqrt
125×associate-*r*
124×add-cube-cbrt *-un-lft-identity
121×cbrt-prod
75×prod-exp cbrt-unprod
73×add-cbrt-cube
51×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×associate-*l* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 243
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
430.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
184.0ms
(cbrt z)
192.0ms
(cbrt z)
25.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

simplify755.0ms

Counts
255 → 255
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
04747833
114947427
done50005067

prune817.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11219
done1219

end0.0ms

sample467.0ms

Algorithm
intervals
Results
178.0ms9601×body80valid