Details

Time bar (total: 16.2s)

sample37.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite10.0ms

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:
8.0ms
(/ (atan2 im re) (log 10.0))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (atan2 im re) (log 10.0))

simplify939.0ms

Counts
34 → 34
Iterations
IterNodes
done5000
31221
2262
189
052

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))))

rewrite77.0ms

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:
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
53.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series240.0ms

Counts
2 → 6
Calls
2 calls:
166.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
74.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.6s

Counts
138 → 138
Iterations
IterNodes
done5000
22827
1448
0158

prune534.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

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-*l*
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
33.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
70.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series266.0ms

Counts
2 → 6
Calls
2 calls:
178.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
87.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.5s

Counts
123 → 123
Iterations
IterNodes
done5000
24009
1477
0158

prune402.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
53×associate-*l*
29×associate-*r*
23×pow1
19×add-cbrt-cube add-exp-log
18×unswap-sqr
13×log-pow
10×sqrt-div
7×associate-/r* prod-exp cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv
3×cbrt-undiv div-exp associate-/l* add-log-exp
2×*-commutative
1×clear-num frac-2neg
Counts
3 → 182
Calls
3 calls:
51.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
84.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

series665.0ms

Counts
3 → 9
Calls
3 calls:
435.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
137.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
92.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify2.1s

Counts
191 → 191
Iterations
IterNodes
done5001
23143
1545
0230

prune819.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
421.0ms8000×body80valid