Details

Time bar (total: 16.1s)

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

localize10.0ms

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))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (atan2 im re) (log 10.0))

simplify3.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
054385
186368
2175344
3393344
4724344
51073344
62271344
done5000344

prune89.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))))

rewrite41.0ms

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)))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series168.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.2s

Counts
142 → 142
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
01612378
14092157
212571726
343131726
done50011726

prune268.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite51.0ms

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:
15.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
28.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
3.0ms
(/ 1 (log 10.0))

series174.0ms

Counts
3 → 7
Calls
3 calls:
116.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
58.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify2.9s

Counts
137 → 137
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01681838
13681580
210541363
328161355
done50001355

prune315.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.6b
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
1.0b
(/ 1 (log 10.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
51×times-frac
41×*-un-lft-identity
38×add-cube-cbrt
33×sqrt-prod
28×associate-*l*
22×associate-*r*
19×pow1 add-exp-log
13×add-cbrt-cube
10×log-pow
9×unswap-sqr
5×prod-exp log1p-expm1-u
4×expm1-log1p-u div-exp associate-/r* add-log-exp
3×cbrt-unprod div-inv associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×expm1-log1p pow-flip frac-2neg sqrt-div associate-*r/ associate-*l/ clear-num inv-pow expm1-udef
Counts
4 → 139
Calls
4 calls:
15.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.0ms
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
15.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
3.0ms
(/ 1 (log 10.0))

series565.0ms

Counts
4 → 10
Calls
4 calls:
107.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
173.0ms
(expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
285.0ms
(* (/ 1 (sqrt (log 10.0))) (log1p (expm1 (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))))
0.0ms
(/ 1 (log 10.0))

simplify2.7s

Counts
149 → 149
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01812148
13381802
29771598
326661586
done50001586

prune354.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11615
done1615

end0.0ms

sample368.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid