Details

sample190.0ms

Algorithm

intervals

Results

104.0ms	120×	body	1280	valid
36.0ms	70×	body	640	valid
19.0ms	273×	body	80	nan
11.0ms	37×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	13×	body	80	valid

simplify42.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

42.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize21.0ms

Local error

Found 2 expressions with local error:

4.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite44.0ms

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:

Slowest

30.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(log (/ (- 1 eps) (+ 1 eps)))
22.0ms	(/ (- 1 eps) (+ 1 eps))

simplify3.8s

Counts

102 → 100

Calls

102 calls:

Slowest

433.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
242.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
204.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
202.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
195.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune767.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.1b	(* -2/5 (pow eps 5))
0.1b	(* (* 2/3 eps) eps)
0.0b	(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

Slowest

66.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
13.0ms	(* (* 2/3 eps) eps)
8.0ms	(* -2/5 (pow eps 5))
6.0ms	(* 2/3 eps)

series253.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
77.0ms	(* -2/5 (pow eps 5))
33.0ms	(* (* 2/3 eps) eps)
19.0ms	(* 2/3 eps)

simplify3.4s

Counts

59 → 97

Calls

59 calls:

Slowest

346.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
279.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
263.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
257.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
243.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune776.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.1b	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

124×	`pow1`
69×	`pow-prod-down`
46×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
9×	`pow-sqr` `pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 118

Calls

4 calls:

Slowest

89.0ms	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
11.0ms	(* 2/3 eps)
6.0ms	(* 2/3 eps)
5.0ms	(* 2/3 eps)

series130.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
28.0ms	(* 2/3 eps)
28.0ms	(* 2/3 eps)
22.0ms	(* 2/3 eps)

simplify5.2s

Counts

108 → 130

Calls

108 calls:

Slowest

330.0ms	(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
314.0ms	(* (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
287.0ms	(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
284.0ms	(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
278.0ms	(* (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 eps)
0.3b	(* 2/3 eps)
0.3b	(* (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)))
0.1b	(* -2/5 (pow eps 5))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
22×	`pow-prod-down`
17×	`associate-r`
15×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
14×	`associate-*l/`
13×	`associate-l`
12×	`add-cbrt-cube` `sqrt-div`
10×	`pow1/2` `pow-prod-up`
6×	`flip3-+` `prod-exp` `pow-sqr` `flip-+` `unswap-sqr`
4×	`frac-times` `unpow-prod-down` `swap-sqr` `*-commutative` `sqrt-prod` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow-exp`

Counts

4 → 122

Calls

4 calls:

Slowest

207.0ms	(* (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)))
16.0ms	(* -2/5 (pow eps 5))
11.0ms	(* 2/3 eps)
10.0ms	(* 2/3 eps)

series230.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(* (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)))
82.0ms	(* -2/5 (pow eps 5))
19.0ms	(* 2/3 eps)
17.0ms	(* 2/3 eps)

simplify11.0s

Counts

125 → 134

Calls

125 calls:

Slowest

853.0ms	(* (* (* (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps))) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps))) (* (* (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps))) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps))))
684.0ms	(* (sqrt (* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)))
531.0ms	(* (sqrt (* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)) (sqrt (* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)))
435.0ms	(sqrt (+ (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (- (* 2 2) (* (* (* 2/3 eps) eps) 2))))
406.0ms	(* (sqrt (* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)) (sqrt (* (+ (* (* 2/3 eps) eps) 2) eps)))

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.2b remaining)

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

bsearch9.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.8s	3395×	body	1280	valid
1.8s	2531×	body	640	valid
670.0ms	7988×	body	80	nan
455.0ms	1248×	body	320	valid
115.0ms	593×	body	160	valid
54.0ms	233×	body	80	valid