Details

Time bar (total: 17.3s)

sample28.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize10.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log 10))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (atan2 im re) (log 10))

simplify3.8s

Counts
37 → 37
Iterations
IterNodes
done5000
53657
41620
3590
2237
192
055

prune131.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.7b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 138
Calls
2 calls:
13.0ms
(/ (atan2 im re) (sqrt (log 10)))
87.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series223.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ (atan2 im re) (sqrt (log 10)))
89.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify2.5s

Counts
144 → 144
Iterations
IterNodes
done5001
32811
21271
1440
0163

prune600.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.7b
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×add-cbrt-cube associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×unswap-sqr
4×pow-prod-down associate-*l/
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 121
Calls
2 calls:
38.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
85.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series255.0ms

Counts
2 → 6
Calls
2 calls:
178.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
77.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify3.4s

Counts
127 → 127
Iterations
IterNodes
done5000
32564
21172
1448
0164

prune350.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))
0.1b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re)))
0.7b
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))) (/ 1 (sqrt (log 10))))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*r*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*l/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*r/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×un-div-inv
Counts
3 → 167
Calls
3 calls:
37.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))
101.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re)))
291.0ms
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))) (/ 1 (sqrt (log 10))))

series551.0ms

Counts
3 → 9
Calls
3 calls:
303.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))
159.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re)))
88.0ms
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (atan2 im re))) (/ 1 (sqrt (log 10))))

simplify3.2s

Counts
176 → 176
Iterations
IterNodes
done5005
34805
21290
1557
0212

prune543.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample647.0ms

Algorithm
intervals
Results
464.0ms8000×body80valid