Details

Time bar (total: 20.8s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(/ (atan2 im re) (log 10.0))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (atan2 im re) (log 10.0))

simplify3.3s

Counts
36 → 36
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune183.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))))

rewrite90.0ms

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:
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
72.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series200.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
75.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.6s

Counts
142 → 142
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01612378
13852101
211451726
330201726
done50001630

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))))

rewrite94.0ms

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:
24.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series183.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify7.6s

Counts
127 → 127
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01612041
13581502
29241023
321301023
444521023
done50011023

prune223.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
56×associate-*l*
26×associate-*r*
23×pow1
19×add-exp-log add-cbrt-cube
18×unswap-sqr
13×log-pow
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 188
Calls
3 calls:
79.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
117.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series656.0ms

Counts
3 → 9
Calls
3 calls:
423.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
134.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
99.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify2.4s

Counts
197 → 197
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02063821
14623301
213792872
done50002782

prune698.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02139
12635
done2635

end0.0ms

sample682.0ms

Algorithm
intervals
Results
477.0ms8000×body80valid