Details

sample143.0ms

Algorithm

intervals

Results

77.0ms	111×	body	1280	valid
33.0ms	83×	body	640	valid
13.0ms	239×	body	80	nan
8.0ms	36×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify27.0ms

Calls

1 calls:

Slowest

27.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize11.0ms

Local error

Found 2 expressions with local error:

6.3b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`log-prod`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/r` `associate-/l`
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--`

Calls

2 calls:

Slowest

6.0ms	(/ (- 1 eps) (+ 1 eps))
3.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series77.0ms

Calls

2 calls:

Slowest

63.0ms	(log (/ (- 1 eps) (+ 1 eps)))
14.0ms	(/ (- 1 eps) (+ 1 eps))

simplify2.5s

Calls

54 calls:

Slowest

419.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
229.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
170.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
161.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
114.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune535.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* eps -2/3)
0.1b	(* eps (* eps -2/3))
0.1b	(* (pow eps 5) -2/5)
0.0b	(- (* (pow eps 5) -2/5) (* eps (- 2 (* eps (* eps -2/3)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `associate--r+`
3×	`sub-neg` `associate-l` `*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`flip3--` `diff-log` `associate-r` `flip--`

Calls

4 calls:

Slowest

5.0ms	(- (* (pow eps 5) -2/5) (* eps (- 2 (* eps (* eps -2/3)))))
2.0ms	(* (pow eps 5) -2/5)
1.0ms	(* eps (* eps -2/3))
0.0ms	(* eps -2/3)

series67.0ms

Calls

4 calls:

Slowest

27.0ms	(- (* (pow eps 5) -2/5) (* eps (- 2 (* eps (* eps -2/3)))))
22.0ms	(* (pow eps 5) -2/5)
11.0ms	(* eps (* eps -2/3))
7.0ms	(* eps -2/3)

simplify1.4s

Calls

19 calls:

Slowest

290.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
244.0ms	(/ (exp (* (pow eps 5) -2/5)) (exp (* eps (- 2 (* eps (* eps -2/3))))))
233.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
198.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
103.0ms	(* (- (* eps (* eps -2/3))) eps)

prune513.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

6.3b	(log (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))
0.0b	(* (+ 1 eps) (+ 1 eps))
0.0b	(/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))
0.0b	(- 1 (* eps eps))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

13.0ms	(/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))
9.0ms	(* (+ 1 eps) (+ 1 eps))
8.0ms	(log (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))
1.0ms	(- 1 (* eps eps))

series111.0ms

Calls

4 calls:

Slowest

75.0ms	(log (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))
17.0ms	(- 1 (* eps eps))
13.0ms	(/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))
6.0ms	(* (+ 1 eps) (+ 1 eps))

simplify9.5s

Calls

80 calls:

Slowest

444.0ms	(log (/ (- 1 (* eps eps)) (* (- (* 1 1) (* eps eps)) (- (* 1 1) (* eps eps)))))
403.0ms	(* (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
384.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))
384.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))
361.0ms	(log (/ (- 1 (* eps eps)) (* (+ (pow 1 3) (pow eps 3)) (+ (pow 1 3) (pow eps 3)))))

prune490.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b	(log (* (+ 1 eps) (+ 1 eps)))
2.1b	(log (- 1 (* eps eps)))
0.0b	(* (+ 1 eps) (+ 1 eps))
0.0b	(- (log (- 1 (* eps eps))) (log (* (+ 1 eps) (+ 1 eps))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
20×	`log-div`
18×	`flip3-+` `flip-+`
13×	`*-un-lft-identity` `log-pow`
12×	`frac-times`
10×	`add-sqr-sqrt` `add-exp-log`
8×	`log-prod` `add-cube-cbrt` `associate--r-`
6×	`add-cbrt-cube` `associate-l/` `associate-r/` `distribute-lft-out--`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`flip3--` `rem-log-exp` `associate-r` `associate-l` `associate--l+` `flip--`
2×	`associate--l-` `pow2` `pow-plus` `prod-exp` `pow-prod-up`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `*-commutative` `cbrt-unprod` `associate--r+` `difference-of-squares`

Calls

4 calls:

Slowest

18.0ms	(- (log (- 1 (* eps eps))) (log (* (+ 1 eps) (+ 1 eps))))
8.0ms	(log (* (+ 1 eps) (+ 1 eps)))
8.0ms	(* (+ 1 eps) (+ 1 eps))
2.0ms	(log (- 1 (* eps eps)))

series247.0ms

Calls

4 calls:

Slowest

119.0ms	(- (log (- 1 (* eps eps))) (log (* (+ 1 eps) (+ 1 eps))))
89.0ms	(log (- 1 (* eps eps)))
33.0ms	(log (* (+ 1 eps) (+ 1 eps)))
6.0ms	(* (+ 1 eps) (+ 1 eps))

simplify10.2s

Calls

79 calls:

Slowest

417.0ms	(log (* (+ (pow 1 3) (pow eps 3)) (- (* 1 1) (* eps eps))))
403.0ms	(* (- (* 1 1) (* eps eps)) (+ 1 eps))
382.0ms	(* (- (* 1 1) (* eps eps)) (+ (pow 1 3) (pow eps 3)))
374.0ms	(log (* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps)))
369.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))

prune795.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	3468×	body	1280	valid
1.2s	2491×	body	640	valid
825.0ms	1212×	body	320	valid
649.0ms	7904×	body	80	nan
136.0ms	605×	body	160	valid
21.0ms	224×	body	80	valid