Details

sample49.0ms

Algorithm

intervals

Results

33.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
32.7b	(sqrt (+ (* re re) (* im im)))

rewrite61.0ms

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:

38.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
19.0ms	(sqrt (+ (* re re) (* im im)))

series278.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
79.0ms	(sqrt (+ (* re re) (* im im)))

simplify4.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (260.0ms)

Iter	Nodes	Cost
0	116	1191
1	222	1120
2	451	1046
3	877	1032
4	1959	1032
5	4637	1032
done	5000	1032

prune311.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.7b

localize23.0ms

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)))
32.7b	(sqrt (+ (* re re) (* im im)))

rewrite217.0ms

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:

106.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
66.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
18.0ms	(sqrt (+ (* re re) (* im im)))

series554.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
310.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
53.0ms	(sqrt (+ (* re re) (* im im)))

simplify4.3s

Counts

203 → 203

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	238	4455
1	588	4003
2	1564	3528
3	3972	3512
done	5000	3416

prune668.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
0.3b	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
32.7b	(sqrt (+ (* re re) (* im im)))

rewrite167.0ms

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×	`sqrt-prod` `add-cbrt-cube`
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` `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 → 135

Calls

3 calls:

44.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
93.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
18.0ms	(sqrt (+ (* re re) (* im im)))

series571.0ms

Counts

3 → 9

Calls

3 calls:

297.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0))))
218.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10.0)))))
56.0ms	(sqrt (+ (* re re) (* im im)))

simplify3.1s

Counts

144 → 144

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	205	3101
1	477	2539
2	1197	1930
3	2699	1920
done	5000	1920

prune519.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
0.3b	(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.9b	(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
32.7b	(sqrt (+ (* re re) (* im im)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
46×	`times-frac`
45×	`add-cube-cbrt`
41×	`sqrt-prod`
30×	`log-prod`
25×	`pow-unpow` `associate-l`
24×	`unpow-prod-down`
16×	`add-exp-log`
15×	`pow1`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube`
8×	`log-pow`
5×	`unswap-sqr`
4×	`associate-r` `prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-pow` `rem-log-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `sqrt-pow2` `flip-+`

Counts

4 → 151

Calls

4 calls:

14.0ms	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
74.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
26.0ms	(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
14.0ms	(sqrt (+ (* re re) (* im im)))

series1.4s

Counts

4 → 12

Calls

4 calls:

395.0ms	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
495.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
470.0ms	(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
53.0ms	(sqrt (+ (* re re) (* im im)))

simplify2.9s

Counts

163 → 163

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	229	3870
1	541	3438
2	1309	2753
3	3141	2641
done	5001	2601

prune556.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.6b

regimes1.2s

Accuracy

54.1% (11.1b remaining)

Error of 18.7b against oracle of 7.6b and baseline of 31.7b

bsearch216.0ms

Steps

Iters	Range		Point
9	1.4124772624905103e+51	3.0460639706602055e+56	6.509770177249077e+55
9	1.0202828991379585e-254	1.1317114056863307e-247	3.482912996481695e-250
9	-1.703715759581658e-137	-4.0504560254265596e-144	-4.2156616274993736e-144
2	-5.449253800430163e+114	-4.7106032971479507e+114	-5.330091552844717e+114

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	103
1	47	103
done	47	103

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8000×

body

valid