Details

sample1.1s

Algorithm

intervals

Results

872.0ms	273×	body	10240	exit
137.0ms	565×	body	80	nan
56.0ms	256×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	22
1	22
0	18

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.4b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.5b	(* (log base) (log base))
27.2b	(sqrt (+ (* re re) (* im im)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
20×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`log-prod`
10×	`associate-l` `log-pow`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `flip3-+` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `flip-+` `div-inv` `associate-/l`

Counts

4 → 104

Calls

4 calls:

14.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
43.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
15.0ms	(* (log base) (log base))
12.0ms	(sqrt (+ (* re re) (* im im)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
127.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
242.0ms	(* (log base) (log base))
44.0ms	(sqrt (+ (* re re) (* im im)))

simplify10.6s

Counts

116 → 116

Iterations

Iter	Nodes
3	13424
2	1698
1	417
0	162

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize26.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (log (/ -1 re)) (+ 0 (log base)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`times-frac`
12×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
11×	`log-pow`
10×	`distribute-lft-out`
5×	`associate-/r*`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `div-sub` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

22.0ms

(/ (log (/ -1 re)) (+ 0 (log base)))

series123.0ms

Counts

1 → 3

Calls

1 calls:

123.0ms

(/ (log (/ -1 re)) (+ 0 (log base)))

simplify1.7s

Counts

48 → 48

Iterations

Iter	Nodes
4	3693
3	1094
2	419
1	165
0	82

prune541.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (log base))
0.4b	(* (log (/ -1 re)) (/ 1 (log base)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
13×	`pow1`
9×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 77

Calls

2 calls:

7.0ms	(/ 1 (log base))
23.0ms	(* (log (/ -1 re)) (/ 1 (log base)))

series351.0ms

Counts

2 → 6

Calls

2 calls:

231.0ms	(/ 1 (log base))
119.0ms	(* (log (/ -1 re)) (/ 1 (log base)))

simplify819.0ms

Counts

83 → 83

Iterations

Iter	Nodes
3	2102
2	759
1	223
0	107

prune931.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
0.4b	(* (log (- re)) (log base))
0.5b	(* (log base) (log base))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`log-prod`
8×	`associate-r` `associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`insert-posit16` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 86

Calls

3 calls:

30.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
14.0ms	(* (log (- re)) (log base))
8.0ms	(* (log base) (log base))

series515.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
117.0ms	(* (log (- re)) (log base))
275.0ms	(* (log base) (log base))

simplify12.5s

Counts

95 → 95

Iterations

Iter	Nodes
3	15043
2	1611
1	344
0	131

prune908.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.1b

regimes788.0ms

Accuracy

50.4% (10.6b remaining)

Error of 17.8b against oracle of 7.2b and baseline of 28.6b

bsearch261.0ms

Steps

Iters	Range	Point
6	-1.0656207598580434e-235	-1.6928667732095574e-236	-1.0494477405550627e-235
8	-2.164082324291442e-202	-1.2781101285648341e-206	-1.3122611677520722e-206
4	-2.6340646594167914e+119	-1.7242740602394935e+119	-1.980152666258109e+119

Iters

Range

Point

-1.0656207598580434e-235

-1.6928667732095574e-236

-1.0494477405550627e-235

-2.164082324291442e-202

-1.2781101285648341e-206

-1.3122611677520722e-206

-2.6340646594167914e+119

-1.7242740602394935e+119

-1.980152666258109e+119

simplify11.0ms

Iterations

Iter	Nodes
5	46
4	46
3	44
2	38
1	37
0	29

end0.0ms

sample36.6s

Algorithm

intervals

Results

27.2s	8136×	body	10240	exit
5.4s	16150×	body	80	nan
2.9s	8000×	body	80	valid