Details

sample175.0ms

Algorithm

intervals

Results

93.0ms	120×	body	1280	valid
33.0ms	70×	body	640	valid
20.0ms	273×	body	80	nan
11.0ms	37×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	13×	body	80	valid

simplify41.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

41.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

15.0ms	(/ (- 1 eps) (+ 1 eps))
10.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

74.0ms	(log (/ (- 1 eps) (+ 1 eps)))
34.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.4s

Counts

102 → 104

Calls

102 calls:

Slowest

405.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
276.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
265.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
255.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
233.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune988.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

81.0ms	(* eps (- (* (* eps -2/3) eps) 2))
13.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(* eps (- (* (* eps -2/3) eps) 2))
99.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
36.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify3.5s

Counts

51 → 98

Calls

51 calls:

Slowest

544.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
287.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
281.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
271.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
247.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune988.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

35.0ms	(* eps (* (* eps -2/3) eps))
31.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))
50.0ms	(* eps (* (* eps -2/3) eps))
41.0ms	(* (* eps -2/3) eps)
29.0ms	(* eps -2/3)

simplify3.8s

Counts

40 → 89

Calls

40 calls:

Slowest

674.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
543.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)))
435.0ms	(* (* (* eps eps) eps) (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)))
433.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)))
287.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt eps)
0.7b	(cbrt eps)
0.7b	(cbrt eps)
0.5b	(* (cbrt eps) (cbrt eps))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

15.0ms	(* (cbrt eps) (cbrt eps))
3.0ms	(cbrt eps)
2.0ms	(cbrt eps)
2.0ms	(cbrt eps)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(cbrt eps)
294.0ms	(* (cbrt eps) (cbrt eps))
283.0ms	(cbrt eps)
277.0ms	(cbrt eps)

simplify1.1s

Counts

63 → 97

Calls

63 calls:

Slowest

141.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
139.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
133.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
110.0ms	(* (pow (cbrt -1) 2) (pow (pow eps 2) 1/3))
71.0ms	(* (* (cbrt (cbrt eps)) (cbrt (cbrt eps))) (* (cbrt (cbrt eps)) (cbrt (cbrt eps))))

prune998.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	3395×	body	1280	valid
1.9s	2531×	body	640	valid
778.0ms	7988×	body	80	nan
388.0ms	1248×	body	320	valid
138.0ms	593×	body	160	valid
49.0ms	233×	body	80	valid