Details

Time bar (total: 21.1s)

sample56.0ms

Algorithm
intervals
Results
40.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
211
111
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize34.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
31.6b
(sqrt (+ (* re re) (* im im)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
4×associate-/r* add-cbrt-cube sqrt-div add-exp-log
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ insert-posit16 add-log-exp
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp div-inv
Counts
2 → 65
Calls
2 calls:
45.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
14.0ms
(sqrt (+ (* re re) (* im im)))

series287.0ms

Counts
2 → 6
Calls
2 calls:
217.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
70.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
42850
31122
2499
1228
0118

prune821.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.2b

localize26.0ms

Local error

Found 3 expressions with local error:

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)))
32.9b
(log (+ (* re re) (* im im)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×*-un-lft-identity add-cube-cbrt
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod insert-posit16 div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times clear-num frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 156
Calls
3 calls:
20.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
38.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
6.0ms
(log (+ (* re re) (* im im)))

series557.0ms

Counts
3 → 9
Calls
3 calls:
191.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
312.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
53.0ms
(log (+ (* re re) (* im im)))

simplify5.2s

Counts
165 → 165
Iterations
IterNodes
35539
21744
1547
0208

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))
1.6b
(* (cbrt (log 10)) (cbrt (log 10)))
32.9b
(log (+ (* re re) (* im im)))

rewrite33.0ms

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×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 87
Calls
4 calls:
2.0ms
(cbrt (log 10))
2.0ms
(cbrt (log 10))
20.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
6.0ms
(log (+ (* re re) (* im im)))

series88.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))
0.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
87.0ms
(log (+ (* re re) (* im im)))

simplify3.1s

Counts
93 → 93
Iterations
IterNodes
56009
41803
3814
2415
1208
099

prune1.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.0b

localize56.0ms

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)))
32.9b
(log (+ (* re re) (* im im)))

rewrite42.0ms

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:
25.0ms
(* (cbrt 1/2) (cbrt 1/2))
3.0ms
(sqrt (sqrt (log 10)))
4.0ms
(sqrt (sqrt (log 10)))
8.0ms
(log (+ (* re re) (* im im)))

series73.0ms

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)))
73.0ms
(log (+ (* re re) (* im im)))

simplify914.0ms

Counts
104 → 104
Iterations
IterNodes
42050
3871
2460
1234
0120

prune1.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.9b

regimes1.1s

Accuracy

59.4% (9.9b remaining)

Error of 17.1b against oracle of 7.2b and baseline of 31.5b

bsearch319.0ms

Steps
ItersRangePoint
8
1.674331304137391e+80
9.448026055101687e+83
4.5962833543511176e+83
5
2.9499113487668066e-277
8.739357031369968e-277
3.2371191719503383e-277
11
-3.836463808562475e-285
1.1922009041339836e-308
-1.8362044109739617e-302
10
-9.857583095580377e+159
-7.097741162392738e+142
-1.3743535485976946e+147

simplify32.0ms

Iterations
IterNodes
273
173
059

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid