Details

Time bar (total: 13.4s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

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))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
associate-/r* log-pow
add-cbrt-cube add-exp-log associate-/l*
cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10.0))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (atan2 im re) (log 10.0))

simplify1.1s

Counts
34 → 34
Iterations
IterNodes
done5000
31221
2262
189
052

prune233.0ms

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))))

rewrite59.0ms

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
div-exp
prod-exp
associate-/r*
cbrt-undiv
cbrt-unprod
div-inv associate-/l*
rec-exp 1-exp add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 132
Calls
2 calls:
10.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
38.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series327.0ms

Counts
2 → 6
Calls
2 calls:
206.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
121.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.6s

Counts
138 → 138
Iterations
IterNodes
done5000
22827
1448
0158

prune628.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

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-*l*
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
cbrt-undiv log-pow
associate-*r/ unswap-sqr
pow-prod-down
un-div-inv
frac-times *-commutative div-inv add-log-exp
associate-*l/
Counts
2 → 117
Calls
2 calls:
24.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
90.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series297.0ms

Counts
2 → 6
Calls
2 calls:
179.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
118.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify4.9s

Counts
123 → 123
Iterations
IterNodes
done5000
24009
1477
0158

prune384.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (log 10.0)))
4.6b
(cbrt (atan2 im re))
4.6b
(cbrt (atan2 im re))
4.6b
(cbrt (atan2 im re))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
add-cbrt-cube pow1/3 add-exp-log sqrt-prod add-log-exp
log-pow
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (sqrt (log 10.0)))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series174.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (log 10.0)))
51.0ms
(cbrt (atan2 im re))
60.0ms
(cbrt (atan2 im re))
62.0ms
(cbrt (atan2 im re))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5001
3818
2193
174
046

prune226.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample545.0ms

Algorithm
intervals
Results
332.0ms8000×body80valid