Details

Time bar (total: 17.6s)

sample42.0ms

Algorithm
intervals
Results
22.0ms526×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
94506
83719
72357
6930
5420
4303
3156
249
119
011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.1b
(* (* y 4.0) (- (* z z) t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in *-un-lft-identity distribute-lft-in associate-*r* add-cube-cbrt associate--r+
3×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
10.0ms
(- (* z z) t)
8.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
43.0ms
(* (* y 4.0) (- (* z z) t))

series247.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (* z z) t)
119.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
93.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.2s

Counts
63 → 63
Iterations
IterNodes
done5000
21066
1311
0103

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* (* 4.0 y) z) z))
0.0b
(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
0.1b
(* (* (* 4.0 y) z) z)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube add-exp-log
10×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-*r*
2×associate-+r+ sum-log sub-neg diff-log
1×+-commutative associate-+r- flip3-+ flip3-- associate-*l* *-commutative flip-+ flip--
Counts
3 → 48
Calls
3 calls:
6.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
23.0ms
(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
68.0ms
(* (* (* 4.0 y) z) z)

series290.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- (* x x) (* (* (* 4.0 y) z) z))
140.0ms
(+ (* (* 4.0 y) t) (- (* x x) (* (* (* 4.0 y) z) z)))
46.0ms
(* (* (* 4.0 y) z) z)

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5000
21254
1312
0103

prune330.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
59.0ms
(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
6.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
7.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
5.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (- (* x x) (* (* (* 4.0 y) z) z))) (cbrt (- (* x x) (* (* (* 4.0 y) z) z))))
161.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
150.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
141.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5000
32598
2792
1285
0123

prune878.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
6.2b
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
5.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
5.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
5.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
132.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
118.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))
132.0ms
(cbrt (- (* x x) (* (* (* 4.0 y) z) z)))

simplify2.4s

Counts
64 → 64
Iterations
IterNodes
done5009
31851
2469
1158
068

prune660.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s15817×body80valid