Details

sample230.0ms

Algorithm

intervals

Results

112.0ms	111×	body	1280	valid
50.0ms	83×	body	640	valid
34.0ms	239×	body	80	nan
14.0ms	36×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify134.0ms

Calls

1 calls:

Slowest

133.0ms

(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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

Calls

2 calls:

Slowest

4.0ms	(/ (+ x 1) (- 1 x))
2.0ms	(log (/ (+ x 1) (- 1 x)))

series96.0ms

Calls

2 calls:

Slowest

79.0ms	(log (/ (+ x 1) (- 1 x)))
16.0ms	(/ (+ x 1) (- 1 x))

simplify2.6s

Calls

53 calls:

Slowest

517.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
201.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
181.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
174.0ms	(log (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
150.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune436.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))
0.0b	(* (fma 2/3 (* x x) 2) x)

rewrite4.0ms

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

3.0ms	(* (fma 2/3 (* x x) 2) x)
0.0ms	(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))

series69.0ms

Calls

2 calls:

Slowest

42.0ms	(* (fma 2/3 (* x x) 2) x)
27.0ms	(fma 2/5 (pow x 5) (* (fma 2/3 (* x x) 2) x))

simplify545.0ms

Calls

8 calls:

Slowest

115.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
111.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
96.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
66.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
55.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

6.3b	(log (/ 1 (- 1 x)))
0.0b	(/ 1 (- 1 x))
0.0b	(+ (log1p x) (log (/ 1 (- 1 x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`associate-+r+` `add-exp-log` `associate-/r/`
4×	`log-pow` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r*` `fma-def` `flip3--` `add-cbrt-cube` `log-rec` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`log-div` `rec-exp` `sum-log` `rem-log-exp` `pow-flip` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `log1p-udef` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `unsub-neg` `flip-+`

Calls

3 calls:

Slowest

19.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
3.0ms	(log (/ 1 (- 1 x)))
2.0ms	(/ 1 (- 1 x))

series164.0ms

Calls

3 calls:

Slowest

113.0ms	(+ (log1p x) (log (/ 1 (- 1 x))))
44.0ms	(log (/ 1 (- 1 x)))
7.0ms	(/ 1 (- 1 x))

simplify1.9s

Calls

41 calls:

Slowest

291.0ms	(+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (log -1) (/ 1 x))))
209.0ms	(+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))
194.0ms	(+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))
157.0ms	(- (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))))
150.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune414.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

6.3b	(log (+ 1 x))
2.1b	(log (- 1 (* x x)))
0.0b	(+ (log1p x) (+ (- (log (- 1 (* x x)))) (log (+ 1 x))))
0.0b	(+ (- (log (- 1 (* x x)))) (log (+ 1 x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
19×	`distribute-lft-out`
18×	`pow1`
15×	`fma-def`
14×	`log-pow`
12×	`add-sqr-sqrt` `log-prod` `sum-log` `distribute-rgt-neg-in` `add-cube-cbrt` `add-log-exp`
8×	`log-div`
7×	`associate-+r-`
6×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `associate-+r+` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `log1p-udef` `distribute-neg-in` `log1p-def` `neg-log`
2×	`neg-sub0` `+-commutative` `rem-log-exp` `associate-+l-`
1×	`neg-mul-1` `sub-neg` `flip3--` `flip--`

Calls

4 calls:

Slowest

35.0ms	(+ (log1p x) (+ (- (log (- 1 (* x x)))) (log (+ 1 x))))
13.0ms	(+ (- (log (- 1 (* x x)))) (log (+ 1 x)))
2.0ms	(log (- 1 (* x x)))
2.0ms	(log (+ 1 x))

series378.0ms

Calls

4 calls:

Slowest

172.0ms	(+ (log1p x) (+ (- (log (- 1 (* x x)))) (log (+ 1 x))))
100.0ms	(log (- 1 (* x x)))
77.0ms	(+ (- (log (- 1 (* x x)))) (log (+ 1 x)))
29.0ms	(log (+ 1 x))

simplify7.2s

Calls

69 calls:

Slowest

731.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
551.0ms	(* (+ 1 x) (* (exp (- (log (- 1 (* x x))))) (+ 1 x)))
525.0ms	(* (+ 1 x) (* (/ 1 (- 1 (* x x))) (+ 1 x)))
370.0ms	(- (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))) (log -1))
354.0ms	(- (log -1) (+ (* 2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.0s	3467×	body	1280	valid
1.7s	2491×	body	640	valid
952.0ms	7904×	body	80	nan
603.0ms	1212×	body	320	valid
175.0ms	604×	body	160	valid
27.0ms	226×	body	80	valid