Details

Time bar (total: 20.2s)

sample35.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(/ (atan2 im re) (log 10.0))

simplify3.2s

Counts
34 → 34
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
052371
184354
2176330
3326330
4548330
5866330
62003330
done5000330

prune85.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite71.0ms

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:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
45.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series558.0ms

Counts
2 → 6
Calls
2 calls:
495.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.0s

Counts
138 → 138
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01572334
13812061
211381696
329891696
done50001600

prune395.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite176.0ms

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:
41.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
113.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
12.0ms
(/ 1 (log 10.0))

series235.0ms

Counts
3 → 7
Calls
3 calls:
156.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
79.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify6.8s

Counts
131 → 131
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
01621776
13441448
29171297
325221297
done50011297

prune329.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
56×add-exp-log
47×sqrt-prod
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×pow1 add-cbrt-cube
27×prod-exp
26×associate-*l*
24×sqrt-div
23×associate-*r*
15×cbrt-unprod
14×log-pow
12×associate-*r/
10×div-exp
9×pow-prod-down
8×associate-/r*
6×frac-times associate-/l*
5×cbrt-undiv rec-exp 1-exp
4×associate-*l/ div-inv add-log-exp
2×pow-flip frac-2neg clear-num *-commutative inv-pow
Counts
4 → 172
Calls
4 calls:
69.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
211.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
6.0ms
(/ 1 (log 10.0))
6.0ms
(/ 1 (log 10.0))

series252.0ms

Counts
4 → 8
Calls
4 calls:
166.0ms
(* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0)))))
86.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (sqrt (/ 1 (log 10.0))))) (sqrt (sqrt (/ 1 (log 10.0))))))
0.0ms
(/ 1 (log 10.0))
0.0ms
(/ 1 (log 10.0))

simplify2.1s

Counts
180 → 180
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
01973259
14632144
214361799
done50011799

prune521.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02133
12732
done2732

end0.0ms

sample803.0ms

Algorithm
intervals
Results
420.0ms8000×body80valid