Details

Time bar (total: 18.6s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06253
done6253

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
4.0ms
(/ (atan2 im re) (log 10.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (atan2 im re) (log 10.0))

simplify1.4s

Counts
36 → 36
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05414117
19113681
226513601
3122413601
done500113601

prune190.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

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))))

rewrite84.0ms

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 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 136
Calls
2 calls:
10.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series280.0ms

Counts
2 → 6
Calls
2 calls:
169.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
111.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.9s

Counts
142 → 142
Iterations

Useful iterations: 2 (699.0ms)

IterNodesCost
016272290
145367681
2282861034
done500161034

prune621.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))))

rewrite103.0ms

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×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
38.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series261.0ms

Counts
2 → 6
Calls
2 calls:
172.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
89.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.9s

Counts
127 → 127
Iterations

Useful iterations: done (5.9s)

IterNodesCost
016258284
148150537
2386745314
done500045074

prune592.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*l*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 163
Calls
3 calls:
68.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
40.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
243.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

series571.0ms

Counts
3 → 9
Calls
3 calls:
169.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
298.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
104.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify3.5s

Counts
172 → 172
Iterations

Useful iterations: done (3.5s)

IterNodesCost
021989250
159872117
2378266064
done500165062

prune696.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014534
120534
done20534

end0.0ms

sample689.0ms

Algorithm
intervals
Results
472.0ms8000×body80valid