Details

Time bar (total: 16.6s)

sample34.0ms

Algorithm
intervals
Results
20.0ms481×body80valid

simplify3.0s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
3.9b
(* (* y 4.0) (- (* z z) t))

rewrite58.0ms

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 insert-posit16 flip--
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 57
Calls
3 calls:
13.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(- (* z z) t)
36.0ms
(* (* y 4.0) (- (* z z) t))

series190.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
31.0ms
(- (* z z) t)
68.0ms
(* (* y 4.0) (- (* z z) t))

simplify1.1s

Counts
66 → 66
Iterations
IterNodes
done5000
21068
1314
0106

prune249.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
0.2b
(* z (* z (* 4.0 y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
7×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×diff-log insert-posit16
1×sum-log sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
2 → 37
Calls
2 calls:
57.0ms
(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
41.0ms
(* z (* z (* 4.0 y)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(- (+ (* x x) (* (* t 4.0) y)) (* z (* z (* 4.0 y))))
25.0ms
(* z (* z (* 4.0 y)))

simplify1.2s

Counts
43 → 43
Iterations
IterNodes
done5000
2989
1238
087

prune183.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
16.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series972.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (cbrt z) (cbrt z))
196.0ms
(cbrt z)
257.0ms
(cbrt z)
263.0ms
(cbrt z)

simplify2.9s

Counts
89 → 89
Iterations
IterNodes
done5001
43895
31039
2380
1138
063

prune505.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))

series1.3s

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt (cbrt z))
333.0ms
(cbrt (cbrt z))
325.0ms
(cbrt (cbrt z))
299.0ms
(cbrt (cbrt z))

simplify1.7s

Counts
72 → 72
Iterations
IterNodes
done5001
52117
4525
3217
2102
156
035

prune478.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes463.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
013

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s15603×body80valid