Details

Time bar (total: 10.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
2.0ms
(/ (atan2 im re) (log 10.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (atan2 im re) (log 10.0))

simplify1.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
054385
186368
2189344
3526344
41123344
52240344
done5000344

prune86.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite43.0ms

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 frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
30.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
56.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.7s

Counts
142 → 142
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
01612378
14092101
211661726
345111726
done50001726

prune249.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite50.0ms

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×associate-*l* add-cbrt-cube
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:
14.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify2.0s

Counts
127 → 127
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01612041
13951502
29341023
325801023
done50001023

prune199.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

rewrite189.0ms

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×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 163
Calls
3 calls:
42.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
20.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
119.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

series387.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))
206.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify1.3s

Counts
172 → 172
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
02183647
15522303
214751729
done50011729

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
12032
done2032

end0.0ms

sample370.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid