Details

sample1.1s

Algorithm

intervals

Results

785.0ms	257×	body	10240	exit
160.0ms	516×	body	80	nan
94.0ms	256×	body	80	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	22
1	22
0	18

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
0.4b	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.6b	(* (log base) (log base))
32.5b	(sqrt (+ (* re re) (* im im)))

rewrite95.0ms

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:

42.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
22.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms	(* (log base) (log base))
12.0ms	(sqrt (+ (* re re) (* im im)))

series952.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
509.0ms	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
223.0ms	(* (log base) (log base))
64.0ms	(sqrt (+ (* re re) (* im im)))

simplify9.0s

Counts

116 → 116

Iterations

Iter	Nodes
3	11790
2	1707
1	417
0	162

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.5b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series118.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

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

simplify2.1s

Counts

48 → 48

Iterations

Iter	Nodes
4	3904
3	1125
2	414
1	164
0	82

prune623.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.5b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
11×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
4×	`associate-/r` `associate-/l`
3×	`add-cbrt-cube` `add-exp-log`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `div-sub` `div-exp` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

13.0ms

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

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

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

simplify1.7s

Counts

41 → 41

Iterations

Iter	Nodes
4	3145
3	801
2	301
1	116
0	71

prune470.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
0.4b	(* (log (- re)) (log base))
0.6b	(* (log base) (log base))

rewrite48.0ms

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:

27.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
10.0ms	(* (log (- re)) (log base))
8.0ms	(* (log base) (log base))

series416.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(/ (* (log (- re)) (log base)) (* (log base) (log base)))
104.0ms	(* (log (- re)) (log base))
194.0ms	(* (log base) (log base))

simplify11.9s

Counts

95 → 95

Iterations

Iter	Nodes
3	14694
2	1623
1	344
0	131

prune915.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.5b

regimes774.0ms

Accuracy

51.7% (10.4b remaining)

Error of 17.7b against oracle of 7.3b and baseline of 28.9b

bsearch406.0ms

Steps

Iters	Range		Point
5	-1.0648839890121555e-276	-4.1967105686409096e-277	-4.429404736105875e-277
7	-1.1377226032378395e-239	-2.7222296321098158e-241	-1.0773202820966665e-239
3	-1.105656998334693e-210	-8.649680898448558e-211	-9.4018337374793e-211
6	-7.856154703162909e+61	-5.706972355127751e+60	-7.705421844557647e+61

simplify28.0ms

Iterations

Iter	Nodes
4	37
3	37
2	34
1	31
0	27

end0.0ms

sample34.4s

Algorithm

intervals

Results

25.9s	8004×	body	10240	exit
5.0s	16042×	body	80	nan
2.5s	8000×	body	80	valid