Details

Time bar (total: 15.4s)

sample46.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune5.0ms

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))

rewrite11.0ms

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log 10))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (atan2 im re) (log 10))

simplify1.1s

Counts
37 → 37
Iterations
IterNodes
done5001
31290
2266
192
055

prune164.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.8b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite60.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 138
Calls
2 calls:
10.0ms
(/ (atan2 im re) (sqrt (log 10)))
40.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series210.0ms

Counts
2 → 6
Calls
2 calls:
146.0ms
(/ (atan2 im re) (sqrt (log 10)))
64.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify3.2s

Counts
144 → 144
Iterations
IterNodes
done5000
22958
1453
0163

prune566.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.8b
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite66.0ms

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
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 insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 123
Calls
2 calls:
12.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
51.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series199.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
71.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify4.0s

Counts
129 → 129
Iterations
IterNodes
done5001
23693
1481
0163

prune375.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
0.1b
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
0.8b
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*l*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 166
Calls
3 calls:
21.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
60.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
181.0ms
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

series460.0ms

Counts
3 → 9
Calls
3 calls:
209.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
175.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
76.0ms
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

simplify2.8s

Counts
175 → 175
Iterations
IterNodes
done5000
23964
1598
0221

prune633.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample936.0ms

Algorithm
intervals
Results
762.0ms8000×body80valid