Details

Time bar (total: 14.4s)

sample44.0ms

Algorithm
intervals
Results
29.0ms312×body80valid

simplify1.4s

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 1 expressions with local error:

4.7b
(* y (/ x z))

rewrite17.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
17.0ms
(* y (/ x z))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* y (/ x z))

simplify2.1s

Counts
38 → 38
Iterations
IterNodes
done5001
32617
2560
1177
073

prune131.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

rewrite85.0ms

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
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
80.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

series723.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt x)
203.0ms
(cbrt x)
250.0ms
(cbrt x)
64.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done5000
21421
1379
0127

prune512.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite15.0ms

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 insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
14.0ms
(/ (* x y) z)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (* x y) z)

simplify1.7s

Counts
27 → 27
Iterations
IterNodes
done5017
32113
2461
1121
051

prune131.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.6b
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
302×times-frac
229×add-sqr-sqrt
160×cbrt-prod
143×*-un-lft-identity add-cube-cbrt
136×associate-*l*
25×add-exp-log
22×associate-*r*
21×unswap-sqr
16×add-cbrt-cube
9×cbrt-undiv div-exp
8×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
42.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

series885.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt z)
273.0ms
(cbrt z)
267.0ms
(cbrt z)
82.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

simplify1.8s

Counts
260 → 260
Iterations
IterNodes
done5001
23623
1949
0288

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes556.0ms

Accuracy

96% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
022

end0.0ms

sample1.3s

Algorithm
intervals
Results
911.0ms9594×body80valid