Details

Time bar (total: 18.5s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite5.0ms

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×cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
4.0ms
(/ (atan2 im re) (log 10.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (atan2 im re) (log 10.0))

simplify4.2s

Counts
34 → 34
Iterations
IterNodes
done5001
41715
3602
2240
189
052

prune240.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite47.0ms

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×rec-exp 1-exp add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 132
Calls
2 calls:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
36.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series248.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
92.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.6s

Counts
138 → 138
Iterations
IterNodes
done5001
32976
21248
1435
0158

prune622.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.8b
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

rewrite134.0ms

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×*-commutative div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 115
Calls
2 calls:
40.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
85.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series257.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
99.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify3.6s

Counts
121 → 121
Iterations
IterNodes
done5005
32519
21095
1444
0158

prune490.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
0.1b
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.8b
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt
59×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
28×pow1 prod-exp
27×associate-*l*
16×cbrt-unprod
13×associate-*l/
10×sqrt-div pow-prod-down
9×log-pow
6×frac-times div-exp
5×unswap-sqr
4×associate-*r/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 156
Calls
3 calls:
110.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
38.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
224.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

series585.0ms

Counts
3 → 9
Calls
3 calls:
353.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
146.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
86.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify3.4s

Counts
165 → 165
Iterations
IterNodes
done5002
34765
21560
1580
0218

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample557.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid