Details

sample146.0ms

Algorithm

intervals

Results

77.0ms	111×	body	1280	valid
35.0ms	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

simplify26.0ms

Calls

1 calls:

Slowest

26.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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×	`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--`

Calls

2 calls:

Slowest

6.0ms	(/ (- 1 eps) (+ 1 eps))
4.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series83.0ms

Calls

2 calls:

Slowest

67.0ms	(log (/ (- 1 eps) (+ 1 eps)))
16.0ms	(/ (- 1 eps) (+ 1 eps))

simplify2.9s

Calls

54 calls:

Slowest

421.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
327.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
236.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
229.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
159.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`*-commutative` `fma-udef`

Calls

2 calls:

Slowest

6.0ms	(* (fma -2/3 (* eps eps) -2) eps)
0.0ms	(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series93.0ms

Calls

2 calls:

Slowest

54.0ms	(* (fma -2/3 (* eps eps) -2) eps)
39.0ms	(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

simplify1.6s

Calls

8 calls:

Slowest

432.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
375.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
329.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
186.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
140.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune293.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite25.0ms

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×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `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

12.0ms	(/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))
5.0ms	(* (+ 1 eps) (+ 1 eps))
4.0ms	(log (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))
1.0ms	(- 1 (* eps eps))

series128.0ms

Calls

4 calls:

Slowest

84.0ms	(log (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))
18.0ms	(- 1 (* eps eps))
15.0ms	(/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))
10.0ms	(* (+ 1 eps) (+ 1 eps))

simplify11.1s

Calls

80 calls:

Slowest

817.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))
751.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))
400.0ms	(log (/ (- 1 (* eps eps)) (* (- (* 1 1) (* eps eps)) (- (* 1 1) (* eps eps)))))
365.0ms	(log (* (cbrt (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))) (cbrt (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps))))))
364.0ms	(log (sqrt (/ (- 1 (* eps eps)) (* (+ 1 eps) (+ 1 eps)))))

prune675.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
42×	`log-pow`
32×	`prod-diff`
26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
20×	`log-div`
18×	`flip3-+` `flip-+`
12×	`frac-times`
10×	`add-exp-log`
8×	`log-prod` `pow-prod-down` `associate--r-`
6×	`pow2` `pow-plus` `add-cbrt-cube` `associate-l/` `associate-r/` `pow-prod-up` `distribute-lft-out--`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `associate-r` `associate-l` `associate--l+` `flip--`
2×	`associate--l-` `sub-neg` `log1p-def` `prod-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `*-commutative` `cbrt-unprod` `associate--r+` `difference-of-squares`

Calls

4 calls:

Slowest

13.0ms	(- (log (- 1 (* eps eps))) (log (* (+ 1 eps) (+ 1 eps))))
10.0ms	(log (* (+ 1 eps) (+ 1 eps)))
6.0ms	(* (+ 1 eps) (+ 1 eps))
2.0ms	(log (- 1 (* eps eps)))

series276.0ms

Calls

4 calls:

Slowest

143.0ms	(- (log (- 1 (* eps eps))) (log (* (+ 1 eps) (+ 1 eps))))
97.0ms	(log (- 1 (* eps eps)))
30.0ms	(log (* (+ 1 eps) (+ 1 eps)))
6.0ms	(* (+ 1 eps) (+ 1 eps))

simplify26.9s

Calls

147 calls:

Slowest

755.0ms	(* (+ (* 1 1) (- (* eps eps) (* 1 eps))) (- 1 eps))
590.0ms	(log (* (- (* 1 1) (* eps eps)) (+ (pow 1 3) (pow eps 3))))
497.0ms	(fma (* (cbrt (log (- 1 (* eps eps)))) (cbrt (log (- 1 (* eps eps))))) (cbrt (log (- 1 (* eps eps)))) (- (* (log (+ 1 eps)) (+ 1 1))))
436.0ms	(fma (- (log (* (+ 1 eps) (+ 1 eps)))) 1 (* (log (* (+ 1 eps) (+ 1 eps))) 1))
428.0ms	(log (* (- (* 1 1) (* eps eps)) (- (* 1 1) (* eps eps))))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

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

3.2s	3468×	body	1280	valid
1.2s	2491×	body	640	valid
634.0ms	7904×	body	80	nan
552.0ms	1212×	body	320	valid
137.0ms	605×	body	160	valid
48.0ms	224×	body	80	valid