Details

Time bar (total: 21.3s)

sample30.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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))

series106.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(/ (atan2 im re) (log 10.0))

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune170.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))))

rewrite81.0ms

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:
20.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
54.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series219.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.9s

Counts
142 → 142
Iterations

Useful iterations: done (3.9s)

IterNodesCost
01612378
13852101
211451726
330201726
done50001630

prune402.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv expm1-log1p-u rec-exp sqrt-div 1-exp log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 130
Calls
3 calls:
28.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
78.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
12.0ms
(/ 1 (log 10.0))

series299.0ms

Counts
3 → 7
Calls
3 calls:
191.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
108.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify7.3s

Counts
137 → 137
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
01681838
13501506
29261355
325641355
done50001355

prune376.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
1.0b
(/ 1 (log 10.0))
1.0b
(/ 1 (log 10.0))

rewrite497.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
56×add-exp-log
47×sqrt-prod
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×pow1 add-cbrt-cube
27×prod-exp
26×associate-*l*
24×sqrt-div
23×associate-*r*
15×cbrt-unprod
14×log-pow
12×associate-*r/
10×div-exp
9×pow-prod-down
8×associate-/r*
6×frac-times associate-/l*
5×cbrt-undiv rec-exp 1-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow-flip frac-2neg clear-num *-commutative inv-pow
Counts
4 → 180
Calls
4 calls:
132.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
319.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
12.0ms
(/ 1 (log 10.0))
21.0ms
(/ 1 (log 10.0))

series286.0ms

Counts
4 → 8
Calls
4 calls:
187.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
98.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
0.0ms
(/ 1 (log 10.0))
0.0ms
(/ 1 (log 10.0))

simplify2.4s

Counts
188 → 188
Iterations

Useful iterations: 2 (412.0ms)

IterNodesCost
02033363
14692212
214291867
done50001867

prune641.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02133
12732
done2732

end0.0ms

sample1.1s

Algorithm
intervals
Results
894.0ms8000×body80valid