Details

Time bar (total: 22.6s)

sample33.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06253
done6253

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize18.0ms

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 *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log 10.0))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (atan2 im re) (log 10.0))

simplify1.5s

Counts
34 → 34
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05213451
18913015
226212935
3122112935
done500012935

prune175.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

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))))

rewrite56.0ms

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 clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 132
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))))

series204.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
67.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.3s

Counts
138 → 138
Iterations

Useful iterations: done (3.2s)

IterNodesCost
015870636
144866067
2282760142
done500059622

prune594.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

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×add-cbrt-cube associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×unswap-sqr
4×pow-prod-down associate-*l/
2×*-commutative div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 115
Calls
2 calls:
21.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
98.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series241.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
83.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify8.1s

Counts
121 → 121
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
015857199
149245903
2472541876
done500041876

prune493.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*r*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*l/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*r/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
1×un-div-inv
Counts
3 → 158
Calls
3 calls:
65.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)))
43.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))
269.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))) (/ 1 (sqrt (log 10.0))))

series592.0ms

Counts
3 → 9
Calls
3 calls:
194.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)))
318.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))
80.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))) (/ 1 (sqrt (log 10.0))))

simplify5.1s

Counts
167 → 167
Iterations

Useful iterations: 2 (954.0ms)

IterNodesCost
020386676
158177973
2407065855
done500065855

prune774.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
014534
120534
done20534

end0.0ms

sample560.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid