Details

Time bar (total: 16.5s)

sample33.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (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:
5.0ms
(/ (atan2 im re) (log 10.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (atan2 im re) (log 10.0))

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
054385
186368
2175344
3325344
4545344
5860344
61993344
done5000344

prune83.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite57.0ms

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:
6.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
44.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series166.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.5s

Counts
142 → 142
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01612378
13852101
211451726
330201726
done50001630

prune252.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite82.0ms

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:
22.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
54.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.5s

Counts
127 → 127
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
01612041
13581502
29241023
321301023
444521023
done50011023

prune198.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (log 10.0) (atan2 im re)))
0.8b
(/ (log 10.0) (atan2 im re))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 123
Calls
2 calls:
11.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
7.0ms
(/ (log 10.0) (atan2 im re))

series95.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
44.0ms
(/ (log 10.0) (atan2 im re))

simplify4.4s

Counts
129 → 129
Iterations

Useful iterations: 3 (312.0ms)

IterNodesCost
01531864
12991579
25551398
311941374
422701374
538311374
done50001374

prune155.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11415
done1415

end0.0ms

sample405.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid