Details

Time bar (total: 15.1s)

sample58.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
9.0ms256×pre80true

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2284
42284
3711
2147
132
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
0.0b
(- 4 (/ 1.0 (* i i)))
0.2b
(/ 1/2 (- 4 (/ 1.0 (* i i))))
0.4b
(/ 1.0 (* i i))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
48×times-frac
44×*-un-lft-identity
28×add-cube-cbrt
24×associate-*l*
16×add-cbrt-cube add-exp-log difference-of-squares
8×distribute-lft-out--
7×associate-/r*
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv div-exp associate-/r/ insert-posit16
3×flip3-- associate-*r* prod-exp cbrt-unprod div-inv flip--
2×clear-num frac-2neg unswap-sqr
1×sub-neg diff-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 124
Calls
4 calls:
69.0ms
(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
8.0ms
(- 4 (/ 1.0 (* i i)))
15.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
9.0ms
(/ 1.0 (* i i))

series245.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
56.0ms
(- 4 (/ 1.0 (* i i)))
86.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
49.0ms
(/ 1.0 (* i i))

simplify1.3s

Counts
136 → 136
Iterations
IterNodes
done2013
32013
21552
1504
0205

prune556.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2 (/ (sqrt 1.0) i))
0.0b
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- 2 (/ (sqrt 1.0) i))))
0.1b
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ 1/4 (- 2 (/ (sqrt 1.0) i)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
89×times-frac
76×*-un-lft-identity
44×add-cube-cbrt
32×add-exp-log
27×associate-*r*
24×difference-of-squares
20×add-cbrt-cube
18×associate-*l*
11×associate-/r* div-exp
8×prod-exp associate-/r/ sqrt-prod distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod insert-posit16 div-inv
3×rec-exp flip3-- 1-exp flip--
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times sub-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 177
Calls
4 calls:
9.0ms
(- 2 (/ (sqrt 1.0) i))
50.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- 2 (/ (sqrt 1.0) i))))
18.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
21.0ms
(/ 1/4 (- 2 (/ (sqrt 1.0) i)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- 2 (/ (sqrt 1.0) i))
294.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- 2 (/ (sqrt 1.0) i))))
67.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
81.0ms
(/ 1/4 (- 2 (/ (sqrt 1.0) i)))

simplify1.2s

Counts
189 → 189
Iterations
IterNodes
done2000
22000
1734
0266

prune823.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (- 4 (/ 1.0 (* i i)))) (cbrt (- 4 (/ 1.0 (* i i))))))
15.0b
(cbrt (- 4 (/ 1.0 (* i i))))
15.0b
(cbrt (- 4 (/ 1.0 (* i i))))
15.0b
(cbrt (- 4 (/ 1.0 (* i i))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×cbrt-prod cbrt-div
16×add-exp-log
13×*-un-lft-identity
9×flip3-- flip--
8×add-cbrt-cube associate-/r/
7×add-cube-cbrt
6×difference-of-squares
4×frac-times pow1 cbrt-undiv times-frac div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow1/3 distribute-lft-out--
2×associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg div-inv associate-/l*
Counts
4 → 81
Calls
4 calls:
43.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (- 4 (/ 1.0 (* i i)))) (cbrt (- 4 (/ 1.0 (* i i))))))
6.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
7.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
10.0ms
(cbrt (- 4 (/ 1.0 (* i i))))

series1.5s

Counts
4 → 12
Calls
4 calls:
487.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (- 4 (/ 1.0 (* i i)))) (cbrt (- 4 (/ 1.0 (* i i))))))
327.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
340.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
311.0ms
(cbrt (- 4 (/ 1.0 (* i i))))

simplify1.6s

Counts
93 → 93
Iterations
IterNodes
done2004
32004
21372
1456
0172

prune603.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 2 (/ (sqrt 1.0) i))) (cbrt (- 2 (/ (sqrt 1.0) i))))
0.7b
(cbrt (- 2 (/ (sqrt 1.0) i)))
0.7b
(cbrt (- 2 (/ (sqrt 1.0) i)))
0.7b
(cbrt (- 2 (/ (sqrt 1.0) i)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
61×cbrt-prod
35×*-un-lft-identity
25×difference-of-squares
18×cbrt-div times-frac
15×add-cube-cbrt
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-- pow1/3 sqrt-prod flip-- distribute-lft-out--
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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 → 119
Calls
4 calls:
84.0ms
(* (cbrt (- 2 (/ (sqrt 1.0) i))) (cbrt (- 2 (/ (sqrt 1.0) i))))
9.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))
9.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))
9.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))

series1.2s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt (- 2 (/ (sqrt 1.0) i))) (cbrt (- 2 (/ (sqrt 1.0) i))))
282.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))
276.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))
277.0ms
(cbrt (- 2 (/ (sqrt 1.0) i)))

simplify1.2s

Counts
131 → 131
Iterations
IterNodes
done2000
32000
2906
1339
0148

prune791.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid
241.0ms8000×pre80true