Details

Time bar (total: 31.9s)

sample59.0ms

Algorithm
intervals
Results
42.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
211
111
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize29.0ms

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)))

rewrite51.0ms

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:
7.0ms
(+ (* re re) (* im im))
34.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
9.0ms
(sqrt (+ (* re re) (* im im)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (* re re) (* im im))
193.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
51.0ms
(sqrt (+ (* re re) (* im im)))

simplify822.0ms

Counts
86 → 86
Iterations
IterNodes
32233
2714
1264
0128

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
31.5b
(log (+ (* re re) (* im im)))

rewrite105.0ms

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:
7.0ms
(+ (* re re) (* im im))
43.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
41.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* re re) (* im im))
228.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
306.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
64.0ms
(log (+ (* re re) (* im im)))

simplify5.5s

Counts
180 → 180
Iterations
IterNodes
36539
21959
1583
0218

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
31.5b
(log (+ (* re re) (* im im)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt times-frac
36×*-un-lft-identity add-cube-cbrt
30×add-cbrt-cube
29×associate-*r*
26×associate-*l*
25×sqrt-prod
22×prod-exp
19×pow1
12×cbrt-unprod
11×div-exp
9×log-prod
8×log-pow
6×cbrt-undiv add-log-exp
4×pow-prod-down associate-*l/ insert-posit16
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp unswap-sqr
2×log-div flip3-+ *-commutative flip-+ div-inv
1×frac-times +-commutative sum-log rem-log-exp associate-*r/ un-div-inv
Counts
4 → 139
Calls
4 calls:
7.0ms
(+ (* re re) (* im im))
56.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
38.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
11.0ms
(log (+ (* re re) (* im im)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* re re) (* im im))
229.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
356.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
89.0ms
(log (+ (* re re) (* im im)))

simplify12.3s

Counts
151 → 151
Iterations
IterNodes
36699
21916
1633
0231

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.5b

localize77.0ms

Local error

Found 4 expressions with local error:

18.0b
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
31.3b
(cbrt (+ (* re re) (* im im)))
31.3b
(cbrt (+ (* re re) (* im im)))
31.3b
(cbrt (+ (* re re) (* im im)))

rewrite46.0ms

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:
23.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
6.0ms
(cbrt (+ (* re re) (* im im)))
8.0ms
(cbrt (+ (* re re) (* im im)))
8.0ms
(cbrt (+ (* re re) (* im im)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
147.0ms
(cbrt (+ (* re re) (* im im)))
116.0ms
(cbrt (+ (* re re) (* im im)))
142.0ms
(cbrt (+ (* re re) (* im im)))

simplify2.0s

Counts
82 → 82
Iterations
IterNodes
44376
31466
2504
1206
098

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.5b

regimes645.0ms

Accuracy

57.8% (9.9b remaining)

Error of 17.3b against oracle of 7.4b and baseline of 30.9b

bsearch120.0ms

Steps
ItersRangePoint
7
2.047522274901982e+122
5.807591190020332e+123
2.515107223737886e+123
6
-4.376586861275325e+109
-7.189522474598543e+108
-2.327249381423175e+109

simplify17.0ms

Iterations
IterNodes
246
146
037

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid