Details

Time bar (total: 10.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms324×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: 6.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ (* x y) z)

rewrite10.0ms

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:
9.0ms
(/ (* x y) z)

series23.0ms

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

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune51.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
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 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
44.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt z)
185.0ms
(cbrt z)
187.0ms
(cbrt z)
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01441257
14041201
21699903
done5001806

prune259.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
1.2b
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
85×add-exp-log
82×times-frac
71×cbrt-prod
50×associate-*l*
47×add-cube-cbrt *-un-lft-identity
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 185
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
45.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
67.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
183.0ms
(cbrt x)
178.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

simplify1.6s

Counts
197 → 197
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02683196
17673091
228582466
done50002255

prune499.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (* (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))))
7.8b
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
7.8b
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
7.8b
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
324×frac-times
297×cbrt-div
192×associate-*r/
154×associate-*l/
40×add-exp-log
21×prod-exp cbrt-unprod
16×add-cbrt-cube
13×pow1
10×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-undiv cbrt-prod times-frac div-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 211
Calls
4 calls:
150.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (* (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))))
11.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
11.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
15.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (* (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))) (cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))))
196.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
191.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
192.0ms
(cbrt (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

simplify1.3s

Counts
223 → 223
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03748231
110188109
223016408
done50016102

prune363.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

41.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141
12541
done2541

end0.0ms

sample423.0ms

Algorithm
intervals
Results
159.0ms9550×body80valid