Details

Time bar (total: 12.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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

localize6.0ms

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))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (atan2 im re) (log 10.0))

simplify2.7s

Counts
36 → 36
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
054385
186368
2175344
3393344
4721344
51058344
62251344
done5000344

prune84.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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)))
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.1s

Counts
142 → 142
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
01612378
14092101
211381726
341361726
done50011726

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))))

rewrite52.0ms

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:
13.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
33.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series173.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify2.8s

Counts
127 → 127
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01612041
13951502
28831023
323311023
done50001023

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (log 10.0)))
4.1b
(cbrt (atan2 im re))
4.1b
(cbrt (atan2 im re))
4.1b
(cbrt (atan2 im re))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u pow1/3 sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp
1×log-pow
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (sqrt (log 10.0)))
0.0ms
(cbrt (atan2 im re))
0.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series125.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (log 10.0)))
43.0ms
(cbrt (atan2 im re))
40.0ms
(cbrt (atan2 im re))
42.0ms
(cbrt (atan2 im re))

simplify1.9s

Counts
66 → 66
Iterations

Useful iterations: 4 (667.0ms)

IterNodesCost
048480
170459
2147407
3499385
43114381
done5000381

prune194.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes156.0ms

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

sample387.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid