Details

Time bar (total: 10.0s)

sample44.0ms

Algorithm
intervals
Results
22.0ms379×body80valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done52
552
448
338
225
115
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* z z) 3))
0.2b
(* (* z z) 3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* x y) (* (* z z) 3))
14.0ms
(* (* z z) 3)

series113.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* x y) (* (* z z) 3))
49.0ms
(* (* z z) 3)

simplify631.0ms

Counts
36 → 36
Iterations
IterNodes
done5001
21101
1190
060

prune213.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (pow (* z (* z 3)) 1))
0.2b
(* z (* z 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
15.0ms
(+ (* x y) (pow (* z (* z 3)) 1))
24.0ms
(* z (* z 3))

series90.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x y) (pow (* z (* z 3)) 1))
32.0ms
(* z (* z 3))

simplify601.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2902
1180
060

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
0.2b
(* (* z z) (* (cbrt 3) (cbrt 3)))
0.3b
(* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
33×add-exp-log
27×pow-prod-down
21×prod-exp cbrt-unprod
20×add-cbrt-cube
7×associate-*r*
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×pow-plus pow-prod-up
3×cbrt-prod
2×pow2 associate-*l* pow-sqr *-commutative
1×+-commutative sum-log flip3-+ flip-+ unswap-sqr
Counts
3 → 70
Calls
3 calls:
14.0ms
(+ (* x y) (* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
28.0ms
(* (* z z) (* (cbrt 3) (cbrt 3)))
112.0ms
(* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3))

series376.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(+ (* x y) (* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3)))
112.0ms
(* (* z z) (* (cbrt 3) (cbrt 3)))
137.0ms
(* (* (* z z) (* (cbrt 3) (cbrt 3))) (cbrt 3))

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5004
22244
1314
098

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3))))
0.2b
(* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2)))
0.2b
(* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3)))
0.2b
(* (pow (cbrt 3) 2) (* z z))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
49×prod-exp
27×cbrt-prod
24×associate-*r*
22×add-cbrt-cube
19×cbrt-unprod
17×add-sqr-sqrt
14×unpow-prod-down *-un-lft-identity add-cube-cbrt
13×associate-*l*
11×pow1
6×pow-to-exp pow-exp add-log-exp
5×pow-prod-down unswap-sqr
3×*-commutative unpow2 sqr-pow
1×pow2 +-commutative sum-log flip3-+ flip-+
Counts
4 → 111
Calls
4 calls:
14.0ms
(+ (* x y) (* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3))))
68.0ms
(* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2)))
253.0ms
(* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3)))
21.0ms
(* (pow (cbrt 3) 2) (* z z))

series866.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (* x y) (* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3))))
449.0ms
(* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2)))
157.0ms
(* (* (* (pow (cbrt 3) 2) (* z z)) (cbrt (pow (cbrt 3) 2))) (cbrt (cbrt 3)))
143.0ms
(* (pow (cbrt 3) 2) (* z z))

simplify2.1s

Counts
123 → 123
Iterations
IterNodes
done5002
23417
1504
0178

prune658.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
858.0ms12299×body80valid