Details

Time bar (total: 22.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms256×pre80true

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
402×times-frac
193×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
43×associate-/l*
18×div-inv
13×prod-diff
11×add-cbrt-cube add-exp-log
6×cbrt-undiv div-exp
4×add-log-exp
3×associate-/r*
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log associate-/l/
Counts
2 → 224
Calls
2 calls:
40.0ms
(- (* 2.0 (* i 2.0)) (/ 1.0 i))
98.0ms
(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(- (* 2.0 (* i 2.0)) (/ 1.0 i))
104.0ms
(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

simplify692.0ms

Counts
230 → 230
Iterations
IterNodes
done5000
11558
0561

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
0.0b
(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
0.1b
(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
7928×times-frac
3218×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
335×div-inv
177×associate-/r*
106×add-exp-log
92×div-exp
44×add-cbrt-cube
30×cbrt-undiv
20×1-exp
16×associate-/r/ associate-/l*
8×rec-exp
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef associate-/l/
Counts
3 → 2143
Calls
3 calls:
0.0ms
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
29.0ms
(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
112.0ms
(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

series482.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
216.0ms
(/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0))
151.0ms
(/ (/ 1 1) (/ (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) (/ (/ i 2.0) 2.0)))

simplify2.5s

Counts
2152 → 2152
Iterations
IterNodes
done5000
03477

prune8.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
0.2b
(* (sqrt (/ i 2.0)) (/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0)))
0.2b
(/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
54×sqrt-prod
43×add-sqr-sqrt
36×*-un-lft-identity add-cube-cbrt
20×associate-*r*
17×add-cbrt-cube add-exp-log
16×associate-*l* associate-/l*
6×div-inv
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp unswap-sqr
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef associate-/l/
Counts
3 → 119
Calls
3 calls:
0.0ms
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
62.0ms
(* (sqrt (/ i 2.0)) (/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0)))
13.0ms
(/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0))

series527.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(fma 2.0 (* 2.0 i) (/ (- 1.0) i))
231.0ms
(* (sqrt (/ i 2.0)) (/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0)))
197.0ms
(/ (sqrt (/ i 2.0)) (* (fma 2.0 (* 2.0 i) (/ (- 1.0) i)) 2.0))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5000
23094
1610
0260

prune755.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1.0 (pow i 4) (* (pow i 6) 4.0))
0.0b
(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma 1.0 (pow i 4) (* (pow i 6) 4.0))
1.0ms
(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))

series310.0ms

Counts
2 → 6
Calls
2 calls:
232.0ms
(fma 1.0 (pow i 4) (* (pow i 6) 4.0))
79.0ms
(fma (* i i) 0.25 (fma 1.0 (pow i 4) (* (pow i 6) 4.0)))

simplify1.4s

Counts
26 → 26
Iterations
IterNodes
done5000
31987
2264
164
038

prune155.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
933.0ms8000×body80valid
178.0ms8000×pre80true