Details

Time bar (total: 13.7s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize16.0ms

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))
27.0b
(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-+
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:
7.0ms
(+ (* re re) (* im im))
51.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms
(sqrt (+ (* re re) (* im im)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* re re) (* im im))
219.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
58.0ms
(sqrt (+ (* re re) (* im im)))

simplify620.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21092
1277
0125

prune542.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

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)))
27.9b
(log (+ (* re re) (* im im)))

rewrite130.0ms

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:
14.0ms
(+ (* re re) (* im im))
57.0ms
(* (/ 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)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* re re) (* im im))
219.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
221.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
66.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
176 → 176
Iterations
IterNodes
done5000
23117
1605
0214

prune910.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* im im) (* re re))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))))
11.4b
(log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0)))))
17.9b
(pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
44×times-frac
40×*-un-lft-identity add-cube-cbrt
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
13×pow1
12×unpow-prod-down add-exp-log
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r* sqr-pow
3×rem-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv +-commutative sum-log pow-pow flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 128
Calls
4 calls:
6.0ms
(+ (* im im) (* re re))
53.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))))
9.0ms
(log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0)))))
11.0ms
(pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* im im) (* re re))
560.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))))
385.0ms
(log (pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0)))))
463.0ms
(pow (+ (* im im) (* re re)) (/ 1 (sqrt (log 10.0))))

simplify1.4s

Counts
140 → 140
Iterations
IterNodes
done5002
23069
1637
0216

prune914.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
27.9b
(log (+ (pow re 2) (* im im)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
68×add-sqr-sqrt
60×times-frac
58×*-un-lft-identity add-cube-cbrt
49×cbrt-prod
22×pow1
10×associate-/r*
9×add-exp-log log-pow
6×pow1/3 swap-sqr associate-*r* associate-*l* associate-/l*
5×add-cbrt-cube
4×sqrt-pow1 add-log-exp unswap-sqr
3×log-prod
2×rem-sqrt-square log-div pow1/2 pow-prod-down pow-sqr pow-prod-up
1×pow2 cbrt-undiv clear-num frac-2neg flip3-+ pow-plus div-exp rem-log-exp prod-exp *-commutative cbrt-unprod flip-+ div-inv
Counts
4 → 162
Calls
4 calls:
2.0ms
(sqrt (sqrt (log 10.0)))
15.0ms
(* (cbrt 1/2) (cbrt 1/2))
17.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
7.0ms
(log (+ (pow re 2) (* im im)))

series62.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
62.0ms
(log (+ (pow re 2) (* im im)))

simplify1.2s

Counts
168 → 168
Iterations
IterNodes
done5001
21446
1367
0200

prune912.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes822.0ms

Accuracy

44% (17.6b remaining)

Error of 17.9b against oracle of 0.3b and baseline of 31.7b

bsearch283.0ms

Steps
ItersRangePoint
9
2.608500637638846e+49
6.787836348837619e+54
5.789399298499139e+51
10
8.906821559558098e-187
5.589580785508872e-177
5.2642081041792835e-185
9
4.53350468731089e-289
7.749510238072602e-284
5.0624462449098494e-287
7
-4.644078595127857e+56
-4.6999773453873415e+54
-4.542162861981963e+56

simplify24.0ms

Iterations
IterNodes
done75
375
273
171
057

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8000×body80valid