Details

Time bar (total: 16.7s)

sample28.0ms

Algorithm
intervals
Results
14.0ms308×body80valid

simplify1.3s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

Local error

Found 1 expressions with local error:

5.8b
(* y (/ x z))

rewrite15.0ms

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:
14.0ms
(* y (/ x z))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* y (/ x z))

simplify2.4s

Counts
38 → 38
Iterations
IterNodes
done5001
32617
2560
1177
073

prune151.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ (* x y) z)

rewrite22.0ms

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:
21.0ms
(/ (* x y) z)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* x y) z)

simplify1.9s

Counts
27 → 27
Iterations
IterNodes
done5017
32113
2461
1121
051

prune119.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.4b
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

rewrite153.0ms

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:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
131.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
705.0ms
(cbrt z)
305.0ms
(cbrt z)
309.0ms
(cbrt z)
94.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

simplify2.2s

Counts
260 → 260
Iterations
IterNodes
done5001
23623
1949
0288

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×*-un-lft-identity add-cube-cbrt
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 100
Calls
4 calls:
44.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))

series472.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
136.0ms
(cbrt (/ x z))
107.0ms
(cbrt (/ x z))
106.0ms
(cbrt (/ x z))

simplify2.7s

Counts
112 → 112
Iterations
IterNodes
done5003
43209
31202
2518
1247
0133

prune565.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes455.0ms

Accuracy

90.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample911.0ms

Algorithm
intervals
Results
566.0ms9505×body80valid