Details

Time bar (total: 14.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×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))

rewrite6.0ms

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log 10.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (atan2 im re) (log 10.0))

simplify2.1s

Counts
34 → 34
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
052371
184354
2176330
3326330
4548330
5866330
62003330
done5000330

prune70.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
6.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
42.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series162.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
58.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.5s

Counts
138 → 138
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01572334
13812061
211381696
329891696
done50001600

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite79.0ms

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 rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
19.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
50.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
5.0ms
(/ 1 (log 10.0))

series167.0ms

Counts
3 → 7
Calls
3 calls:
107.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify4.8s

Counts
131 → 131
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
01621776
13441448
29171297
325221297
done50011297

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
147×sqrt-prod
88×times-frac
78×associate-*r*
75×add-sqr-sqrt
63×*-un-lft-identity
61×add-cube-cbrt
49×add-exp-log
31×pow1 add-cbrt-cube
29×associate-*l*
28×prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
12×log-pow
10×pow-prod-down
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 178
Calls
3 calls:
71.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
26.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
189.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

series356.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0)))))
185.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ (sqrt 1) (sqrt (log 10.0))))))

simplify2.0s

Counts
187 → 187
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
02684108
16152557
215411983
done50001983

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01524
12024
done2024

end0.0ms

sample409.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid