Details

Time bar (total: 19.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

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: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ (atan2 im re) (log 10.0))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (atan2 im re) (log 10.0))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune144.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite101.0ms

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:
18.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
69.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series248.0ms

Counts
2 → 6
Calls
2 calls:
147.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
101.0ms
(* (/ 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

prune305.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.6b
(expm1 (/ (atan2 im re) (log 10.0)))
0.9b
(/ (atan2 im re) (log 10.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×pow1
5×add-exp-log add-cbrt-cube
4×associate-/r* log-pow log1p-expm1-u
3×expm1-log1p-u associate-/l* add-log-exp
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp clear-num div-inv expm1-udef
Counts
3 → 55
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
1.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
8.0ms
(/ (atan2 im re) (log 10.0))

series306.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(log1p (expm1 (/ (atan2 im re) (log 10.0))))
95.0ms
(expm1 (/ (atan2 im re) (log 10.0)))
73.0ms
(/ (atan2 im re) (log 10.0))

simplify3.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
074650
1111601
2225551
3445549
4985549
53360549
done5000549

prune214.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (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))

rewrite118.0ms

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:
37.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
9.0ms
(/ 1 (log 10.0))

series230.0ms

Counts
3 → 7
Calls
3 calls:
143.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
87.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify6.6s

Counts
137 → 137
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
01681838
13501506
29261355
325641355
done50001355

prune362.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

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
088
done88

end0.0ms

sample621.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid