Details

Time bar (total: 17.8s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5261
44112
3745
2153
131
010

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
pow1 flip3-- associate-*r/ associate-/r/ flip--
clear-num associate-/r* sub-neg frac-2neg diff-log div-inv
Counts
2 → 37
Calls
2 calls:
29.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
43.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series225.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
130.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify1.6s

Counts
43 → 43
Iterations
IterNodes
done5001
21077
1289
0109

prune219.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 4.0 i) (/ 1.0 i))
0.1b
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
pow1 flip3-- associate-*r/ associate-/r/ flip--
clear-num associate-/r* sub-neg frac-2neg diff-log div-inv
Counts
2 → 37
Calls
2 calls:
15.0ms
(- (* 4.0 i) (/ 1.0 i))
26.0ms
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

series239.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(- (* 4.0 i) (/ 1.0 i))
130.0ms
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

simplify1.6s

Counts
43 → 43
Iterations
IterNodes
done5003
21075
1286
0108

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))) (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))))
14.4b
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
14.4b
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
14.4b
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
67×cbrt-prod
30×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
21×times-frac
15×associate-*r/
14×associate-/r/
12×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3
cbrt-div flip3-- div-inv flip--
add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
104.0ms
(* (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))) (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))))
25.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
39.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
22.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))

series2.6s

Counts
4 → 12
Calls
4 calls:
560.0ms
(* (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))) (cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))))
519.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
586.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))
901.0ms
(cbrt (/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i)))))

simplify1.9s

Counts
127 → 127
Iterations
IterNodes
done5001
21835
1558
0221

prune920.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* i (* i i)) (* (* i (* i i)) 4.0))
0.1b
(* i (* i i))
0.1b
(* i (* i i))
0.1b
(* (* 1.0 (* i i)) (* i i))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
107×pow1
89×add-cbrt-cube add-exp-log
63×pow-prod-down prod-exp cbrt-unprod
10×pow-prod-up
add-sqr-sqrt associate-*l*
*-un-lft-identity add-cube-cbrt
associate-*r* *-commutative add-log-exp
pow2 pow-plus cube-unmult pow-sqr unswap-sqr
Counts
4 → 122
Calls
4 calls:
233.0ms
(* (* i (* i i)) (* (* i (* i i)) 4.0))
27.0ms
(* i (* i i))
25.0ms
(* i (* i i))
66.0ms
(* (* 1.0 (* i i)) (* i i))

series246.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* i (* i i)) (* (* i (* i i)) 4.0))
36.0ms
(* i (* i i))
50.0ms
(* i (* i i))
80.0ms
(* (* 1.0 (* i i)) (* i i))

simplify2.1s

Counts
134 → 134
Iterations
IterNodes
done5002
21146
1351
0121

prune297.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample921.0ms

Algorithm
intervals
Results
545.0ms8000×body80valid
210.0ms8000×pre80true