Details

Time bar (total: 16.7s)

sample46.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize30.0ms

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))
28.4b
(sqrt (+ (* re re) (* im im)))

rewrite78.0ms

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-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
36.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
11.0ms
(sqrt (+ (* re re) (* im im)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* re re) (* im im))
209.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
44.0ms
(sqrt (+ (* re re) (* im im)))

simplify811.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21092
1277
0125

prune500.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
29.5b
(log (+ (* re re) (* im im)))

rewrite117.0ms

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 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 → 164
Calls
4 calls:
6.0ms
(+ (* re re) (* im im))
59.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
36.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* re re) (* im im))
195.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
276.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
93.0ms
(log (+ (* re re) (* im im)))

simplify1.8s

Counts
176 → 176
Iterations
IterNodes
done5000
23117
1605
0214

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
29.5b
(log (+ (* re re) (* im im)))

rewrite85.0ms

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/
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 → 135
Calls
4 calls:
6.0ms
(+ (* re re) (* im im))
44.0ms
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
25.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
5.0ms
(log (+ (* re re) (* im im)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* re re) (* im im))
156.0ms
(* (* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
269.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
63.0ms
(log (+ (* re re) (* im im)))

simplify5.0s

Counts
147 → 147
Iterations
IterNodes
done5000
24195
1675
0227

prune726.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.4b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
1.0b
(sqrt (cbrt (log 10.0)))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
29.5b
(log (+ (* re re) (* im im)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
27×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×add-cube-cbrt
12×add-exp-log
9×swap-sqr sqrt-prod
8×log-pow
7×add-cbrt-cube pow1/3 associate-*r* associate-*l*
4×associate-/r* times-frac add-log-exp unswap-sqr
3×log-prod
2×cbrt-undiv rem-sqrt-square log-div sqrt-pow1 div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod
1×pow2 clear-num frac-2neg flip3-+ pow-plus pow1/2 rem-log-exp *-commutative flip-+ div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
28.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
4.0ms
(sqrt (cbrt (log 10.0)))
10.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series89.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
0.0ms
(sqrt (cbrt (log 10.0)))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
89.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done5000
21273
1332
0147

prune855.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.4b

regimes1.0s

Accuracy

56.6% (10.8b remaining)

Error of 17.8b against oracle of 7.0b and baseline of 31.9b

bsearch228.0ms

Steps
ItersRangePoint
10
1.770057870633885e+84
1.1610867076317608e+95
7.747777771049568e+94
9
-7.317563595848081e+70
-3.473568020675254e+63
-2.3669509176686378e+69

simplify17.0ms

Iterations
IterNodes
done48
148
037

end0.0ms

sample1.0s

Algorithm
intervals
Results
761.0ms8000×body80valid