Details

Time bar (total: 23.7s)

sample149.0ms

Algorithm
intervals
Results
64.0ms254×body80nan
60.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done2408
82408
71116
6232
578
453
339
224
122
018

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
31.9b
(sqrt (+ (* re re) (* im im)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+ insert-posit16
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 77
Calls
3 calls:
15.0ms
(+ (* re re) (* im im))
29.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* re re) (* im im))
104.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
65.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts
86 → 86
Iterations
IterNodes
done2007
32007
2686
1269
0133

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
0.3b
(/ (log base) (log (+ (* re re) (* im im))))
33.1b
(log (+ (* re re) (* im im)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
47×pow1
43×log-pow
24×associate-/r*
12×add-exp-log
11×add-cbrt-cube
7×associate-/l*
6×div-inv add-log-exp
4×cbrt-undiv div-exp insert-posit16
3×log-prod
2×log-div clear-num frac-2neg flip3-+ flip-+
1×+-commutative sum-log rem-log-exp associate-/r/
Counts
4 → 163
Calls
4 calls:
15.0ms
(+ (* re re) (* im im))
12.0ms
(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
12.0ms
(/ (log base) (log (+ (* re re) (* im im))))
11.0ms
(log (+ (* re re) (* im im)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* re re) (* im im))
168.0ms
(/ 1/2 (/ (log base) (log (+ (* re re) (* im im)))))
184.0ms
(/ (log base) (log (+ (* re re) (* im im))))
90.0ms
(log (+ (* re re) (* im im)))

simplify1.1s

Counts
175 → 175
Iterations
IterNodes
done2000
32000
21645
1566
0227

prune1.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (log (+ (* re re) (* im im))) (log base)))
0.3b
(/ 1/2 (/ 1 (/ (log (+ (* re re) (* im im))) (log base))))
0.4b
(/ (log (+ (* re re) (* im im))) (log base))
33.1b
(log (+ (* re re) (* im im)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
767×times-frac
330×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
144×pow1
139×log-pow
89×associate-/r*
37×add-exp-log
23×div-inv
22×div-exp
20×add-cbrt-cube
10×cbrt-undiv associate-/l*
6×associate-/r/
4×log-div rec-exp 1-exp insert-posit16 add-log-exp
3×log-prod clear-num frac-2neg
2×flip3-+ div-sub flip-+
1×rem-log-exp pow-flip inv-pow
Counts
4 → 444
Calls
4 calls:
7.0ms
(/ 1 (/ (log (+ (* re re) (* im im))) (log base)))
14.0ms
(/ 1/2 (/ 1 (/ (log (+ (* re re) (* im im))) (log base))))
37.0ms
(/ (log (+ (* re re) (* im im))) (log base))
11.0ms
(log (+ (* re re) (* im im)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ 1 (/ (log (+ (* re re) (* im im))) (log base)))
105.0ms
(/ 1/2 (/ 1 (/ (log (+ (* re re) (* im im))) (log base))))
104.0ms
(/ (log (+ (* re re) (* im im))) (log base))
78.0ms
(log (+ (* re re) (* im im)))

simplify1.2s

Counts
456 → 456
Iterations
IterNodes
done2003
22003
11347
0518

prune4.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (log base)))
0.3b
(/ 1 (log (+ (* re re) (* im im))))
0.4b
(* (/ 1 (log (+ (* re re) (* im im)))) (log base))
33.1b
(log (+ (* re re) (* im im)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×add-exp-log
29×times-frac
28×*-un-lft-identity
27×add-cube-cbrt
20×add-cbrt-cube
16×pow1 associate-*l*
11×div-exp
9×log-prod log-pow
8×prod-exp
6×cbrt-undiv associate-/l*
5×associate-/r*
4×associate-*r* cbrt-unprod insert-posit16 add-log-exp
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp div-inv unswap-sqr
2×log-div clear-num frac-2neg associate-*l/
1×flip3-+ rem-log-exp pow-prod-down associate-/r/ *-commutative flip-+ pow-flip inv-pow
Counts
4 → 124
Calls
4 calls:
9.0ms
(/ 1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (log base)))
4.0ms
(/ 1 (log (+ (* re re) (* im im))))
11.0ms
(* (/ 1 (log (+ (* re re) (* im im)))) (log base))
5.0ms
(log (+ (* re re) (* im im)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ 1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (log base)))
88.0ms
(/ 1 (log (+ (* re re) (* im im))))
103.0ms
(* (/ 1 (log (+ (* re re) (* im im)))) (log base))
52.0ms
(log (+ (* re re) (* im im)))

simplify1.2s

Counts
136 → 136
Iterations
IterNodes
done2006
32006
21439
1484
0201

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.2b

regimes586.0ms

Accuracy

59% (9.8b remaining)

Error of 16.9b against oracle of 7.1b and baseline of 31.1b

bsearch445.0ms

Steps
ItersRangePoint
11
8.974002264587472e+123
1.5263377708456642e+150
6.270425502185955e+140
8
-1.1790907230225289e-304
-7.789640258942631e-308
-9.044826970858667e-305
2
-3.1678905667204715e-212
-2.6616175635737e-212
-2.7249016889670465e-212
10
-1.8102216906122654e+101
-1.7705199891395814e+89
-1.144600521445903e+98

simplify9.0ms

Iterations
IterNodes
done41
141
036

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.2s7915×body80nan
1.9s8000×body80valid