Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	11	12
done	11	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.0b	(sqrt (+ (* re re) (* im im)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

2 → 63

Calls

2 calls:

62.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
9.0ms	(sqrt (+ (* re re) (* im im)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

192.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
56.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: 3 (317.0ms)

Iter	Nodes	Cost
0	116	1191
1	227	1120
2	559	1048
3	1892	1032
done	5001	1032

prune339.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.4b	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
28.0b	(sqrt (+ (* re re) (* im im)))

rewrite168.0ms

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×	`div-inv` `add-log-exp`
2×	`log-div` `rec-exp` `flip3-+` `1-exp` `div-sub` `flip-+`
1×	`frac-times` `rem-sqrt-square` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 194

Calls

3 calls:

99.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
34.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
13.0ms	(sqrt (+ (* re re) (* im im)))

series514.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
252.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
71.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.8s

Counts

203 → 203

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	238	4455
1	663	4119
2	3449	3702
done	5000	3528

prune665.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (log (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (log 10.0))
28.0b	(sqrt (+ (* re re) (* im im)))
28.0b	(sqrt (+ (* re re) (* im im)))
28.0b	(sqrt (+ (* re re) (* im im)))

rewrite619.0ms

Algorithm

rewrite-expression-head

Rules

126×	`pow1`
94×	`log-pow`
72×	`times-frac`
60×	`sqrt-div`
54×	`cbrt-div`
45×	`pow1/3` `pow-prod-up`
34×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
30×	`flip3-+` `pow-plus` `flip-+`
28×	`frac-times`
26×	`log-div` `div-sub`
25×	`pow-prod-down`
18×	`associate-/l*`
15×	`pow-sqr`
14×	`associate-*l/`
10×	`pow2`
9×	`sqrt-prod`
8×	`associate-*r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow3`
4×	`associate-/r*` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 177

Calls

4 calls:

565.0ms	(/ (log (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (log 10.0))
8.0ms	(sqrt (+ (* re re) (* im im)))
8.0ms	(sqrt (+ (* re re) (* im im)))
8.0ms	(sqrt (+ (* re re) (* im im)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ (log (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (log 10.0))
47.0ms	(sqrt (+ (* re re) (* im im)))
41.0ms	(sqrt (+ (* re re) (* im im)))
57.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.4s

Counts

189 → 189

Iterations

Useful iterations: 3 (622.0ms)

Iter	Nodes	Cost
0	273	6340
1	500	5877
2	843	4103
3	1967	3633
done	5001	3633

prune653.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
0.6b	(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
28.0b	(sqrt (+ (* re re) (* im im)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
94×	`log-pow`
90×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
78×	`pow1`
34×	`associate-/r*`
22×	`sqrt-pow1` `pow1/2`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`sqrt-prod` `add-log-exp`
2×	`rec-exp` `frac-2neg` `sqrt-div` `1-exp` `clear-num`
1×	`rem-sqrt-square` `pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

3 → 197

Calls

3 calls:

29.0ms	(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
9.0ms	(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
9.0ms	(sqrt (+ (* re re) (* im im)))

series493.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(/ 1 (/ (log 10.0) (log (sqrt (+ (* re re) (* im im))))))
229.0ms	(/ (log 10.0) (log (sqrt (+ (* re re) (* im im)))))
49.0ms	(sqrt (+ (* re re) (* im im)))

simplify1.5s

Counts

206 → 206

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	237	4333
1	591	3759
2	3095	3536
done	5001	3534

prune430.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.3b

regimes1.2s

Accuracy

58.3% (10.3b remaining)

Error of 17.6b against oracle of 7.3b and baseline of 32.0b

bsearch135.0ms

Steps

Iters	Range		Point
6	8.99586806532221e+62	6.685946517687547e+63	6.558844456481169e+63
8	-1.1188035785773677e+138	-2.8785927817889844e+133	-5.567655793297946e+135

simplify2.7s

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	35	74
1	56	74
2	79	72
3	146	71
4	465	71
5	2855	71
done	5000	71

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8000×

body

valid