Details

sample193.0ms

Algorithm

intervals

Results

99.0ms	113×	body	1280	valid
36.0ms	70×	body	640	valid
18.0ms	232×	body	80	nan
14.0ms	45×	body	320	valid
12.0ms	21×	body	160	valid
1.0ms	7×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	53
3	53
2	46
1	29
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

44.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- 1 eps) (+ 1 eps))
100.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify811.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2579
2	1209
1	650
0	158

prune805.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* -2/5 (pow eps 5)) (* (* (* eps eps) eps) -2/3))
0.1b	(* (* eps eps) eps)
0.1b	(* -2/5 (pow eps 5))
0.1b	(* (* (* eps eps) eps) -2/3)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-r`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
5×	`associate-l`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

18.0ms	(+ (* -2/5 (pow eps 5)) (* (* (* eps eps) eps) -2/3))
23.0ms	(* (* eps eps) eps)
8.0ms	(* -2/5 (pow eps 5))
71.0ms	(* (* (* eps eps) eps) -2/3)

series416.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (* -2/5 (pow eps 5)) (* (* (* eps eps) eps) -2/3))
44.0ms	(* (* eps eps) eps)
81.0ms	(* -2/5 (pow eps 5))
69.0ms	(* (* (* eps eps) eps) -2/3)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
3	3820
2	1229
1	516
0	129

prune872.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
6.7b	(log (/ (- 1 eps) (+ 1 eps)))
6.7b	(log (/ (- 1 eps) (+ 1 eps)))
6.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
90×	`log-prod`
89×	`add-sqr-sqrt`
72×	`times-frac`
45×	`add-cube-cbrt`
24×	`cbrt-prod` `difference-of-squares`
20×	`pow1`
18×	`distribute-lft-out`
15×	`add-exp-log`
12×	`distribute-lft-out--`
9×	`swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 172

Calls

4 calls:

22.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))
17.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt (log (/ (- 1 eps) (+ 1 eps)))) (cbrt (log (/ (- 1 eps) (+ 1 eps)))))
106.0ms	(log (/ (- 1 eps) (+ 1 eps)))
112.0ms	(log (/ (- 1 eps) (+ 1 eps)))
124.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify931.0ms

Counts

184 → 184

Iterations

Iter	Nodes
3	2545
2	1338
1	787
0	195

prune981.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

6.7b	(log (/ (- 1 eps) (+ 1 eps)))
6.7b	(log (/ (- 1 eps) (+ 1 eps)))
6.7b	(log (/ (- 1 eps) (+ (* (* eps eps) eps) 1)))
6.7b	(log (- (+ 1 (* eps eps)) eps))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
89×	`log-prod`
72×	`add-sqr-sqrt`
66×	`times-frac`
37×	`add-cube-cbrt`
23×	`difference-of-squares`
14×	`add-exp-log`
12×	`distribute-lft-out` `distribute-lft-out--`
8×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/`
5×	`log-div`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
1×	`flip3--` `flip--`

Counts

4 → 137

Calls

4 calls:

12.0ms	(log (/ (- 1 eps) (+ 1 eps)))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))
15.0ms	(log (/ (- 1 eps) (+ (* (* eps eps) eps) 1)))
9.0ms	(log (- (+ 1 (* eps eps)) eps))

series319.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(log (/ (- 1 eps) (+ 1 eps)))
117.0ms	(log (/ (- 1 eps) (+ 1 eps)))
51.0ms	(log (/ (- 1 eps) (+ (* (* eps eps) eps) 1)))
42.0ms	(log (- (+ 1 (* eps eps)) eps))

simplify1.3s

Counts

149 → 149

Iterations

Iter	Nodes
3	3532
2	1883
1	1091
0	271

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	13

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.2s	3393×	body	1280	valid
1.3s	2438×	body	640	valid
554.0ms	7888×	body	80	nan
449.0ms	1303×	body	320	valid
198.0ms	679×	body	160	valid
17.0ms	187×	body	80	valid