Details

Time bar (total: 14.6s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
30.3b
(sqrt (+ (* re re) (* im im)))

rewrite70.0ms

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:
16.0ms
(+ (* re re) (* im im))
41.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
8.0ms
(sqrt (+ (* re re) (* im im)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* re re) (* im im))
191.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
70.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.6s

Counts
86 → 86
Iterations
IterNodes
done5002
32284
2690
1265
0128

prune552.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
31.3b
(log (+ (* re re) (* im im)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×*-un-lft-identity add-cube-cbrt
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod insert-posit16 associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×frac-times +-commutative clear-num sum-log frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 168
Calls
4 calls:
16.0ms
(+ (* re re) (* im im))
55.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
34.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
20.0ms
(log (+ (* re re) (* im im)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* re re) (* im im))
195.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
277.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
85.0ms
(log (+ (* re re) (* im im)))

simplify1.8s

Counts
180 → 180
Iterations
IterNodes
done5001
21932
1586
0218

prune803.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.5b

localize59.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(sqrt (sqrt (log 10)))
31.3b
(log (+ (* re re) (* im im)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×sqrt-prod
18×pow1
17×*-un-lft-identity add-cube-cbrt
16×cbrt-prod
8×sqrt-pow1
7×add-exp-log
6×pow1/3 swap-sqr associate-*r* associate-*l*
4×rem-sqrt-square add-cbrt-cube pow1/2 insert-posit16 add-log-exp unswap-sqr
3×log-prod log-pow
2×log-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-+ pow-plus rem-log-exp prod-exp *-commutative cbrt-unprod flip-+
Counts
4 → 98
Calls
4 calls:
20.0ms
(* (cbrt 1/2) (cbrt 1/2))
5.0ms
(sqrt (sqrt (log 10)))
5.0ms
(sqrt (sqrt (log 10)))
13.0ms
(log (+ (* re re) (* im im)))

series83.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(sqrt (sqrt (log 10)))
0.0ms
(sqrt (sqrt (log 10)))
82.0ms
(log (+ (* re re) (* im im)))

simplify2.0s

Counts
104 → 104
Iterations
IterNodes
done5001
42199
3987
2496
1235
0120

prune689.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.4b

localize74.0ms

Local error

Found 4 expressions with local error:

13.0b
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
31.2b
(cbrt (+ (* re re) (* im im)))
31.2b
(cbrt (+ (* re re) (* im im)))
31.2b
(cbrt (+ (* re re) (* im im)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
9×cbrt-prod flip3-+ pow1/3 log-pow flip-+
8×log-div
7×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus prod-exp
Counts
4 → 70
Calls
4 calls:
27.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
5.0ms
(cbrt (+ (* re re) (* im im)))
9.0ms
(cbrt (+ (* re re) (* im im)))
15.0ms
(cbrt (+ (* re re) (* im im)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
153.0ms
(cbrt (+ (* re re) (* im im)))
172.0ms
(cbrt (+ (* re re) (* im im)))
140.0ms
(cbrt (+ (* re re) (* im im)))

simplify1.6s

Counts
82 → 82
Iterations
IterNodes
done5001
31617
2503
1208
098

prune633.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.4b

regimes1.1s

Accuracy

59% (9.7b remaining)

Error of 16.8b against oracle of 7.1b and baseline of 30.8b

bsearch191.0ms

Steps
ItersRangePoint
8
4.663743096298601e+91
3.2784163371407917e+94
1.2298023334030224e+93
8
-5.807654414909257e+96
-3.5698169896325607e+93
-1.354527584030358e+95

simplify14.0ms

Iterations
IterNodes
done45
145
037

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.3s8000×body80valid