Details

Time bar (total: 23.3s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify9.0ms

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: 0.8b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:
12.0ms
(/ (atan2 im re) (log 10.0))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (atan2 im re) (log 10.0))

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))))

rewrite82.0ms

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:
17.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series228.0ms

Counts
2 → 6
Calls
2 calls:
163.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.0s

Counts
142 → 142
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01612378
13852101
211451726
330201726
done50001630

prune437.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite145.0ms

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:
41.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
81.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
13.0ms
(/ 1 (log 10.0))

series227.0ms

Counts
3 → 7
Calls
3 calls:
156.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
72.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify6.4s

Counts
137 → 137
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
01681838
13501506
29261355
325641355
done50001355

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt times-frac
43×pow1
39×*-un-lft-identity
38×add-cube-cbrt
36×add-exp-log
32×associate-*l*
31×sqrt-prod
26×cbrt-div
25×cbrt-prod
23×associate-*r/
22×add-cbrt-cube
21×associate-*r*
19×pow-prod-down prod-exp cbrt-unprod
18×frac-times
12×associate-*l/
11×sqrt-div
10×log-pow
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv associate-/l*
2×div-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
4 → 170
Calls
4 calls:
29.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
197.0ms
(* (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0))))) (* (cbrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
75.0ms
(* (cbrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
6.0ms
(/ 1 (log 10.0))

series681.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
86.0ms
(* (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0))))) (* (cbrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
449.0ms
(* (cbrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify5.4s

Counts
180 → 180
Iterations

Useful iterations: done (5.3s)

IterNodesCost
02253387
14982997
213362366
342982170
done50002099

prune612.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11716
done1716

end0.0ms

sample867.0ms

Algorithm
intervals
Results
505.0ms8000×body80valid