Details

Time bar (total: 20.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms300×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5027
51745
4352
396
238
116
08

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 1 expressions with local error:

5.2b
(* y (/ x z))

rewrite25.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
23.0ms
(* y (/ x z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* y (/ x z))

simplify3.2s

Counts
37 → 37
Iterations
IterNodes
done5000
32665
2567
1176
072

prune245.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt z)
292.0ms
(cbrt x)
266.0ms
(cbrt x)
236.0ms
(cbrt x)

simplify2.0s

Counts
64 → 64
Iterations
IterNodes
done5008
52784
4847
3356
2174
179
046

prune581.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt x) z))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
114.0ms
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt x) z))

series1.1s

Counts
4 → 12
Calls
4 calls:
348.0ms
(cbrt x)
314.0ms
(cbrt x)
327.0ms
(cbrt x)
83.0ms
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt x) z))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
done5002
21317
1376
0124

prune671.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.9b
(* (* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z)))) (/ (cbrt (cbrt x)) (cbrt z)))
3.4b
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z))))

rewrite595.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
94×cbrt-prod
83×prod-exp cbrt-unprod
70×add-cbrt-cube
66×associate-*r*
58×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×cbrt-undiv div-exp
27×pow1
16×pow-prod-down
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 186
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
439.0ms
(* (* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z)))) (/ (cbrt (cbrt x)) (cbrt z)))
143.0ms
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z))))

series1.2s

Counts
4 → 12
Calls
4 calls:
356.0ms
(cbrt x)
383.0ms
(cbrt (cbrt x))
27.0ms
(* (* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z)))) (/ (cbrt (cbrt x)) (cbrt z)))
387.0ms
(* (* (* (cbrt x) (cbrt x)) y) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt z) (cbrt z))))

simplify3.3s

Counts
198 → 198
Iterations
IterNodes
done5003
24418
11033
0328

prune1.4s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes737.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample827.0ms

Algorithm
intervals
Results
435.0ms9539×body80valid