Details

sample46.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite65.0ms

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:

40.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
11.0ms	(sqrt (+ (* re re) (* im im)))

series277.0ms

Counts

2 → 6

Calls

2 calls:

215.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
62.0ms	(sqrt (+ (* re re) (* im im)))

simplify841.0ms

Counts: 69 → 69

prune326.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.2b

localize41.0ms

Local error

Found 3 expressions with local error:

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)))
29.9b	(log (+ (* re re) (* im im)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

254×	`times-frac`
194×	`add-sqr-sqrt`
120×	`*-un-lft-identity`
114×	`add-cube-cbrt`
104×	`sqrt-prod`
95×	`associate-l`
43×	`pow1`
41×	`add-exp-log`
38×	`log-pow`
32×	`associate-r`
26×	`add-cbrt-cube`
21×	`unswap-sqr`
18×	`div-exp`
10×	`cbrt-undiv` `prod-exp` `div-inv`
7×	`associate-/r*`
6×	`cbrt-unprod`
4×	`log-div` `associate-/l*`
3×	`log-prod` `add-log-exp`
2×	`rec-exp` `flip3-+` `1-exp` `div-sub` `flip-+`
1×	`frac-times` `frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 243

Calls

3 calls:

164.0ms	(* (/ (/ 1 2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
37.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
7.0ms	(log (+ (* re re) (* im im)))

series557.0ms

Counts

3 → 9

Calls

3 calls:

234.0ms	(* (/ (/ 1 2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
251.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
71.0ms	(log (+ (* re re) (* im im)))

simplify1.4s

Counts: 252 → 252

prune826.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.3b

(* (/ (/ 1 2) (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

14.8b

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

16.4b

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
123×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
101×	`add-cube-cbrt`
95×	`associate-l`
67×	`sqrt-prod`
25×	`pow-unpow`
22×	`pow1`
21×	`add-exp-log` `log-prod`
18×	`log-pow`
12×	`unpow-prod-down` `add-cbrt-cube`
9×	`div-inv`
7×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
6×	`div-exp`
5×	`prod-exp`
4×	`associate-r` `sqr-pow`
3×	`cbrt-undiv` `rem-log-exp` `cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `pow-exp`
1×	`rec-exp` `pow-pow` `1-exp` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 195

Calls

3 calls:

104.0ms

(* (/ (/ 1 2) (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

30.0ms

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

29.0ms

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.5s

Counts

3 → 9

Calls

3 calls:

564.0ms

(* (/ (/ 1 2) (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

428.0ms

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

498.0ms

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify1.4s

Counts: 204 → 204

prune873.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (/ 1 2)) (cbrt (/ 1 2)))
1.0b	(sqrt (sqrt (log 10.0)))
1.0b	(sqrt (sqrt (log 10.0)))
29.9b	(log (+ (* re re) (* im im)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
80×	`cbrt-prod`
52×	`times-frac`
51×	`*-un-lft-identity`
41×	`add-cube-cbrt`
24×	`sqrt-prod`
18×	`pow1` `swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
8×	`sqrt-pow1`
7×	`add-exp-log`
6×	`pow1/3` `div-inv`
4×	`rem-sqrt-square` `cbrt-div` `pow1/2` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `log-pow`
2×	`log-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `associate-r/` `rem-log-exp` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 141

Calls

4 calls:

51.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 2)))
5.0ms	(sqrt (sqrt (log 10.0)))
6.0ms	(sqrt (sqrt (log 10.0)))
16.0ms	(log (+ (* re re) (* im im)))

series52.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(* (cbrt (/ 1 2)) (cbrt (/ 1 2)))
0.0ms	(sqrt (sqrt (log 10.0)))
0.0ms	(sqrt (sqrt (log 10.0)))
52.0ms	(log (+ (* re re) (* im im)))

simplify1.4s

Counts: 147 → 147

prune860.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.0b

regimes886.0ms

Accuracy

57.8% (10.4b remaining)

Error of 17.7b against oracle of 7.3b and baseline of 31.9b

bsearch312.0ms

Steps

Iters	Range		Point
9	25.236512407247684	377784053.7050093	120904531.49476463
8	-2.9123255016514252e-301	-8.30552514165335e-306	-1.1853419594214281e-303
8	-3.9127510711405147e-202	-1.2433787460570118e-205	-5.086979514642198e-205
7	-9.035077376741492e+112	-2.891782355577501e+111	-2.631845844906927e+112

simplify820.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

831.0ms

8000×

body

valid