Details

Time bar (total: 11.8s)

sample30.0ms

Algorithm
intervals
Results
14.0ms308×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5001
41017
3146
242
116
08

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite8.0ms

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 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
8.0ms
(/ (* x y) z)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (* x y) z)

simplify658.0ms

Counts
26 → 26
Iterations
IterNodes
done5000
2627
1120
050

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
2.5b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
54×times-frac
36×cbrt-prod *-un-lft-identity add-cube-cbrt
34×add-exp-log
22×associate-*r* associate-*l*
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×unswap-sqr
8×prod-exp cbrt-unprod
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv associate-/l/
2×frac-times pow1/3 associate-*l/ associate-*r/
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
37.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
36.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series906.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt z)
268.0ms
(cbrt z)
79.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
268.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify1.8s

Counts
151 → 151
Iterations
IterNodes
done5000
23929
1599
0202

prune859.0ms

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 z)
0.6b
(/ 1 (/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z)))))
0.8b
(/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z))))
2.5b
(* (/ y (cbrt z)) (/ x (cbrt z)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
97×add-exp-log
91×add-sqr-sqrt
61×*-un-lft-identity add-cube-cbrt
52×div-exp
45×cbrt-prod
37×add-cbrt-cube
28×cbrt-undiv
22×associate-*r* associate-*l*
20×prod-exp
16×associate-/r/
14×associate-/r*
12×cbrt-unprod
9×associate-/l* unswap-sqr
8×div-inv
7×pow1
6×frac-times rec-exp 1-exp associate-*l/ associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow1/3 pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 220
Calls
4 calls:
1.0ms
(cbrt z)
44.0ms
(/ 1 (/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z)))))
14.0ms
(/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z))))
38.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt z)
67.0ms
(/ 1 (/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z)))))
72.0ms
(/ (cbrt z) (* (/ y (cbrt z)) (/ x (cbrt z))))
234.0ms
(* (/ y (cbrt z)) (/ x (cbrt z)))

simplify551.0ms

Counts
232 → 232
Iterations
IterNodes
done5000
1900
0310

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (/ z x) y))
3.4b
(/ (/ z x) y)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×associate-/r*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube associate-/l*
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 274
Calls
2 calls:
31.0ms
(/ 1 (/ (/ z x) y))
17.0ms
(/ (/ z x) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (/ (/ z x) y))
42.0ms
(/ (/ z x) y)

simplify835.0ms

Counts
280 → 280
Iterations
IterNodes
done5000
11238
0426

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes413.0ms

Accuracy

28.8% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 4.9b

bsearch1.0ms

simplify2.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.2s

Algorithm
intervals
Results
573.0ms9631×body80valid