Details

sample49.0ms

Algorithm

intervals

Results

36.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	31
1	31
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize40.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
29.3b	(sqrt (+ (* re re) (* im im)))

rewrite66.0ms

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:

51.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms	(sqrt (+ (* re re) (* im im)))

series249.0ms

Counts

2 → 6

Calls

2 calls:

195.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
54.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
4	2358
3	1318
2	761
1	443
0	118

prune888.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.8b

localize46.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
0.5b	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
29.3b	(sqrt (+ (* re re) (* im im)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
107×	`add-sqr-sqrt`
78×	`sqrt-prod`
66×	`*-un-lft-identity`
61×	`log-pow`
60×	`add-cube-cbrt`
52×	`pow1`
46×	`associate-r`
27×	`add-exp-log`
25×	`associate-l`
17×	`add-cbrt-cube`
16×	`sqrt-pow1` `pow1/2`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv`
4×	`sqrt-div` `cbrt-unprod`
3×	`insert-posit16` `div-inv` `add-log-exp`
2×	`log-div` `rec-exp` `flip3-+` `1-exp` `div-sub` `flip-+`
1×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 197

Calls

3 calls:

30.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
29.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
9.0ms	(sqrt (+ (* re re) (* im im)))

series549.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
312.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
49.0ms	(sqrt (+ (* re re) (* im im)))

simplify926.0ms

Counts

206 → 206

Iterations

Iter	Nodes
2	2234
1	1062
0	241

prune2.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
29.3b	(sqrt (+ (* re re) (* im im)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
46×	`add-sqr-sqrt` `times-frac`
40×	`prod-exp`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
31×	`associate-l`
29×	`add-cbrt-cube` `sqrt-prod`
26×	`associate-r`
20×	`div-exp`
19×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
9×	`log-pow`
6×	`cbrt-undiv`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv` `insert-posit16` `add-log-exp`
2×	`frac-times` `sqrt-pow1` `pow1/2` `sqrt-div` `*-commutative` `div-inv`
1×	`rem-sqrt-square` `flip3-+` `associate-*l/` `flip-+`

Counts

3 → 138

Calls

3 calls:

73.0ms	(* (/ 1 (sqrt (log 10))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
32.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
11.0ms	(sqrt (+ (* re re) (* im im)))

series561.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms	(* (/ 1 (sqrt (log 10))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10)))))
323.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
49.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.2s

Counts

147 → 147

Iterations

Iter	Nodes
3	3625
2	1785
1	876
0	208

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))
0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10)))))
0.3b	(* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
29.3b	(sqrt (+ (* re re) (* im im)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-prod`
67×	`times-frac`
65×	`add-sqr-sqrt`
57×	`associate-r`
52×	`*-un-lft-identity`
50×	`add-exp-log` `add-cube-cbrt`
32×	`pow1` `add-cbrt-cube` `associate-l`
28×	`prod-exp`
16×	`cbrt-unprod`
15×	`sqrt-div`
13×	`associate-*r/`
12×	`log-pow`
10×	`pow-prod-down`
6×	`frac-times` `div-exp` `unswap-sqr`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`rem-sqrt-square` `flip3-+` `flip-+`

Counts

4 → 179

Calls

4 calls:

159.0ms	(* (/ 1 (sqrt (log 10))) (* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))
30.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10)))))
51.0ms	(* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
6.0ms	(sqrt (+ (* re re) (* im im)))

series1.1s

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (/ 1 (sqrt (log 10))) (* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))
476.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10)))))
334.0ms	(* (* (log (sqrt (+ (* re re) (* im im)))) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
57.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.0s

Counts

191 → 191

Iterations

Iter	Nodes
2	2532
1	1150
0	268

prune2.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.7b

regimes1.6s

Accuracy

56.7% (10.2b remaining)

Error of 17.3b against oracle of 7.1b and baseline of 30.6b

bsearch205.0ms

Steps

Iters	Range		Point
7	5.787788168391999e+37	1.8986303283850334e+39	1.1882351325142646e+39
4	1.0526647032619268e-288	1.7669848660662517e-288	1.0730314248253915e-288
8	-9.687258947367738e-245	-1.5584770251340243e-249	-3.454520874704003e-249
8	-6.584011051733632e+134	-1.1458450209363985e+130	-2.7728325482865987e+132

simplify26.0ms

Iterations

Iter	Nodes
3	53
2	53
1	51
0	39

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8000×

body

valid