Details

Time bar (total: 38.1s)

sample79.0ms

Algorithm
intervals
Results
33.0ms533×body80valid

simplify8.0s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize119.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b
(* (* y 4.0) (- (* z z) t))

rewrite152.0ms

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:
18.0ms
(- (* z z) t)
34.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
96.0ms
(* (* y 4.0) (- (* z z) t))

series317.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (* z z) t)
176.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
113.0ms
(* (* y 4.0) (- (* z z) t))

simplify2.9s

Counts
66 → 66
Iterations
IterNodes
done5000
21070
1314
0106

prune972.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

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

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
11×add-log-exp
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
4×insert-posit16
2×sum-log diff-log associate-*r* *-commutative
1×+-commutative sub-neg flip3-+ flip3-- associate--l+ flip-+ flip--
Counts
4 → 68
Calls
4 calls:
37.0ms
(+ (* x x) (* (* t y) 4.0))
202.0ms
(- (+ (* x x) (* (* t y) 4.0)) (* 4.0 (* z (* z y))))
112.0ms
(* 4.0 (* z (* z y)))
51.0ms
(* z (* z y))

series324.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (* x x) (* (* t y) 4.0))
157.0ms
(- (+ (* x x) (* (* t y) 4.0)) (* 4.0 (* z (* z y))))
54.0ms
(* 4.0 (* z (* z y)))
40.0ms
(* z (* z y))

simplify3.5s

Counts
80 → 80
Iterations
IterNodes
done5005
21477
1317
0112

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y)))))
21.3b
(cbrt (* 4.0 (* z (* z y))))
21.3b
(cbrt (* 4.0 (* z (* z y))))
21.3b
(cbrt (* 4.0 (* z (* z y))))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
121.0ms
(* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y)))))
85.0ms
(cbrt (* 4.0 (* z (* z y))))
87.0ms
(cbrt (* 4.0 (* z (* z y))))
100.0ms
(cbrt (* 4.0 (* z (* z y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y)))))
250.0ms
(cbrt (* 4.0 (* z (* z y))))
248.0ms
(cbrt (* 4.0 (* z (* z y))))
223.0ms
(cbrt (* 4.0 (* z (* z y))))

simplify3.2s

Counts
74 → 74
Iterations
IterNodes
done5001
31582
2601
1238
096

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize334.0ms

Local error

Found 4 expressions with local error:

21.3b
(cbrt (* 4.0 (* z (* z y))))
21.3b
(cbrt (* 4.0 (* z (* z y))))
21.3b
(cbrt (* 4.0 (* z (* z y))))
21.3b
(cbrt (* (* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y))))) (cbrt (* 4.0 (* z (* z y))))))

rewrite507.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt insert-posit16 add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 41
Calls
4 calls:
65.0ms
(cbrt (* 4.0 (* z (* z y))))
93.0ms
(cbrt (* 4.0 (* z (* z y))))
64.0ms
(cbrt (* 4.0 (* z (* z y))))
284.0ms
(cbrt (* (* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y))))) (cbrt (* 4.0 (* z (* z y))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt (* 4.0 (* z (* z y))))
225.0ms
(cbrt (* 4.0 (* z (* z y))))
241.0ms
(cbrt (* 4.0 (* z (* z y))))
252.0ms
(cbrt (* (* (cbrt (* 4.0 (* z (* z y)))) (cbrt (* 4.0 (* z (* z y))))) (cbrt (* 4.0 (* z (* z y))))))

simplify6.0s

Counts
53 → 53
Iterations
IterNodes
done5001
53813
41140
3432
2206
1113
059

prune929.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.6s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done19
119
013

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s15991×body80valid