Details

Time bar (total: 19.2s)

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11112
done1112

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
20.0ms
(+ (* re re) (* im im))
51.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
10.0ms
(sqrt (+ (* re re) (* im im)))

series281.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* re re) (* im im))
186.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
58.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.5s

Counts
83 → 83
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
01251357
12541281
25881165
313941163
435091163
done50011163

prune350.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
30.2b
(log (+ (* re re) (* im im)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
689×times-frac
288×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
127×pow1
123×log-pow
37×div-inv
29×add-exp-log
24×associate-/r*
18×add-cbrt-cube
17×div-exp associate-/l*
9×cbrt-undiv
6×add-log-exp
3×log-prod
2×log-div rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×+-commutative rem-log-exp sum-log associate-/r/ associate-/l/
Counts
4 → 378
Calls
4 calls:
8.0ms
(+ (* re re) (* im im))
23.0ms
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
22.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
14.0ms
(log (+ (* re re) (* im im)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* re re) (* im im))
209.0ms
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
205.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
83.0ms
(log (+ (* re re) (* im im)))

simplify2.4s

Counts
390 → 390
Iterations

Useful iterations: done (2.3s)

IterNodesCost
047511187
112919527
227409096
done50008954

prune841.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.2b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10.0))
1.0b
(cbrt (log 10.0))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
30.2b
(log (+ (* re re) (* im im)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×swap-sqr log-pow
8×pow1/3
7×add-exp-log associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×log-prod
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 → 83
Calls
4 calls:
1.0ms
(cbrt (log 10.0))
1.0ms
(cbrt (log 10.0))
14.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
7.0ms
(log (+ (* re re) (* im im)))

series97.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10.0))
0.0ms
(cbrt (log 10.0))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
97.0ms
(log (+ (* re re) (* im im)))

simplify5.4s

Counts
89 → 89
Iterations

Useful iterations: done (5.4s)

IterNodesCost
098910
1199823
2489751
31364679
44851662
done5001632

prune448.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
0.5b
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
30.2b
(log (+ (* re re) (* im im)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
281×times-frac
122×add-sqr-sqrt
121×sqrt-prod
118×add-cube-cbrt *-un-lft-identity
28×div-inv
27×pow1
21×add-exp-log log-pow
20×add-cbrt-cube associate-/l*
9×log-prod associate-/r*
7×cbrt-undiv div-exp
6×associate-*l*
4×associate-*r* add-log-exp
3×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
2×log-div frac-2neg clear-num unswap-sqr
1×flip3-+ sqrt-div rem-log-exp pow-prod-down associate-/r/ *-commutative flip-+ associate-/l/
Counts
4 → 236
Calls
4 calls:
22.0ms
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
36.0ms
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
25.0ms
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
11.0ms
(log (+ (* re re) (* im im)))

series673.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
295.0ms
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
232.0ms
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
53.0ms
(log (+ (* re re) (* im im)))

simplify1.7s

Counts
248 → 248
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04006748
18375890
221425351
done50005345

prune695.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.1b

regimes707.0ms

Accuracy

57.3% (10.5b remaining)

Error of 17.9b against oracle of 7.4b and baseline of 32.1b

bsearch119.0ms

Steps
ItersRangePoint
8
9.20494146023971e+137
8.337939306029303e+141
1.2449882138840628e+138
7
-5.792006846201835e+113
-3.7885935661345695e+111
-1.1564076018637175e+112

simplify14.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
04271
15067
done5067

end0.0ms

sample995.0ms

Algorithm
intervals
Results
707.0ms8000×body80valid