Details

Time bar (total: 14.8s)

sample33.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite6.0ms

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 log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log 10.0))

series87.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (atan2 im re) (log 10.0))

simplify1.5s

Counts
36 → 36
Iterations
IterNodes
done5001
31224
2265
191
054

prune183.0ms

Pruning

7 alts after pruning (7 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)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite72.0ms

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 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 136
Calls
2 calls:
10.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
50.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series239.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
97.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.7s

Counts
142 → 142
Iterations
IterNodes
done5001
22828
1453
0162

prune613.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))))

rewrite86.0ms

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 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
19.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series243.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
85.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.1s

Counts
127 → 127
Iterations
IterNodes
done5000
23867
1481
0162

prune469.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (atan2 im re) (cbrt (sqrt (log 10.0))))
1.0b
(cbrt (sqrt (log 10.0)))
1.0b
(cbrt (sqrt (log 10.0)))
1.0b
(cbrt (sqrt (log 10.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×times-frac
28×sqrt-prod
11×pow1
10×associate-/r*
7×log-pow
6×add-exp-log
5×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 108
Calls
4 calls:
12.0ms
(/ (atan2 im re) (cbrt (sqrt (log 10.0))))
3.0ms
(cbrt (sqrt (log 10.0)))
3.0ms
(cbrt (sqrt (log 10.0)))
3.0ms
(cbrt (sqrt (log 10.0)))

series273.0ms

Counts
4 → 6
Calls
4 calls:
273.0ms
(/ (atan2 im re) (cbrt (sqrt (log 10.0))))
0.0ms
(cbrt (sqrt (log 10.0)))
0.0ms
(cbrt (sqrt (log 10.0)))
0.0ms
(cbrt (sqrt (log 10.0)))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
done5001
33278
2636
1166
0104

prune543.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample688.0ms

Algorithm
intervals
Results
340.0ms8000×body80valid