Details

Time bar (total: 19.2s)

sample53.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
8.0ms256×pre80true

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
3711
2147
132
010

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 4 i) (/ 1.0 i))
0.1b
(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×times-frac associate-/l*
2×pow1 cbrt-undiv flip3-- div-exp associate-*r/ associate-/r/ insert-posit16 flip--
1×clear-num associate-/r* sub-neg frac-2neg diff-log prod-exp cbrt-unprod div-inv
Counts
2 → 37
Calls
2 calls:
8.0ms
(- (* 4 i) (/ 1.0 i))
17.0ms
(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

series196.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(- (* 4 i) (/ 1.0 i))
114.0ms
(/ i (* 4 (- (* 4 i) (/ 1.0 i))))

simplify2.8s

Counts
43 → 43
Iterations
IterNodes
done5000
34627
2824
1244
0100

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* i 4) (/ 1.0 i))
0.1b
(/ 1/4 (- (* i 4) (/ 1.0 i)))
0.1b
(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×associate-/r/
3×associate-/r* flip3-- associate-*l* insert-posit16 flip-- associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ *-commutative
Counts
3 → 78
Calls
3 calls:
10.0ms
(- (* i 4) (/ 1.0 i))
13.0ms
(/ 1/4 (- (* i 4) (/ 1.0 i)))
36.0ms
(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))

series299.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- (* i 4) (/ 1.0 i))
102.0ms
(/ 1/4 (- (* i 4) (/ 1.0 i)))
112.0ms
(* i (/ 1/4 (- (* i 4) (/ 1.0 i))))

simplify3.1s

Counts
87 → 87
Iterations
IterNodes
done5073
34644
21247
1394
0153

prune339.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* i 4) (/ 1.0 i))
0.1b
(* i (/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
0.2b
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
0.5b
(/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
40×cbrt-prod
36×add-exp-log
28×associate-/r*
27×associate-*r*
23×add-cbrt-cube
13×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
6×pow1 div-inv add-log-exp
4×insert-posit16 associate-/l* unswap-sqr
3×associate-*l*
2×clear-num frac-2neg flip3-- associate-/r/ flip-- associate-/l/
1×sub-neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 176
Calls
4 calls:
9.0ms
(- (* i 4) (/ 1.0 i))
45.0ms
(* i (/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
29.0ms
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
20.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))

series1.0s

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (* i 4) (/ 1.0 i))
214.0ms
(* i (/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
545.0ms
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
174.0ms
(/ (* (cbrt 1/4) (cbrt 1/4)) (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))

simplify2.4s

Counts
188 → 188
Iterations
IterNodes
done5000
22909
1840
0280

prune716.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* i (* (cbrt 1/4) (cbrt 1/4))) (/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
0.2b
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
0.2b
(/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))
0.4b
(* i (* (cbrt 1/4) (cbrt 1/4)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
158×add-sqr-sqrt
157×*-un-lft-identity add-cube-cbrt
100×add-exp-log
75×cbrt-prod
72×associate-*r*
45×prod-exp
39×add-cbrt-cube
29×div-exp
28×associate-/r*
21×cbrt-unprod
19×pow1
13×cbrt-undiv
10×div-inv
9×pow-prod-down
8×rec-exp 1-exp
6×associate-/l*
4×associate-*l* insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/r/ *-commutative associate-/l/
1×flip3-- div-sub associate-*r/ un-div-inv pow-flip flip-- inv-pow unswap-sqr
Counts
4 → 292
Calls
4 calls:
109.0ms
(* (* i (* (cbrt 1/4) (cbrt 1/4))) (/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
34.0ms
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
31.0ms
(/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))
17.0ms
(* i (* (cbrt 1/4) (cbrt 1/4)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (* i (* (cbrt 1/4) (cbrt 1/4))) (/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))))
203.0ms
(/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4))
166.0ms
(/ 1 (/ (- (* i 4) (/ 1.0 i)) (cbrt 1/4)))
113.0ms
(* i (* (cbrt 1/4) (cbrt 1/4)))

simplify2.8s

Counts
304 → 304
Iterations
IterNodes
done5001
23736
11314
0401

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes48.0ms

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
done10
110
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid
245.0ms8000×pre80true