Details

sample251.0ms

Algorithm

intervals

Results

120.0ms	109×	body	1280	valid
50.0ms	75×	body	640	valid
31.0ms	279×	body	80	nan
28.0ms	47×	body	320	valid
6.0ms	19×	body	160	valid
1.0ms	6×	body	80	valid

simplify181.0ms

Calls

1 calls:

Slowest

181.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize32.0ms

Local error

Found 2 expressions with local error:

5.0b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div` `distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/l*` `distribute-lft-out--`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Calls

2 calls:

Slowest

24.0ms	(/ (+ x 1) (- 1 x))
18.0ms	(log (/ (+ x 1) (- 1 x)))

series128.0ms

Calls

2 calls:

Slowest

103.0ms	(log (/ (+ x 1) (- 1 x)))
25.0ms	(/ (+ x 1) (- 1 x))

simplify5.1s

Calls

118 calls:

Slowest

465.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
419.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
400.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
316.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
287.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune997.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-r`
20×	`associate-l`
19×	`*-un-lft-identity`
18×	`add-exp-log`
15×	`pow1` `add-cbrt-cube` `add-cube-cbrt`
9×	`unswap-sqr`
8×	`prod-exp`
6×	`pow-prod-down` `cbrt-unprod`
5×	`*-commutative`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Calls

4 calls:

Slowest

186.0ms	(* x (+ (* x (* 2/3 x)) 2))
32.0ms	(* x (* 2/3 x))
20.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series232.0ms

Calls

4 calls:

Slowest

99.0ms	(* x (+ (* x (* 2/3 x)) 2))
73.0ms	(* (pow x 5) 2/5)
34.0ms	(* x (* 2/3 x))
26.0ms	(* 2/3 x)

simplify3.4s

Calls

79 calls:

Slowest

374.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
246.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
234.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
233.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
230.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* (pow x 5) 2/5)
0.1b	(* x (* 2/3 x))
0.1b	(* x (* x (* 2/3 x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

58×	`associate-r`
49×	`add-sqr-sqrt`
25×	`associate-l` `add-exp-log`
22×	`pow1` `add-cbrt-cube`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`unswap-sqr`
13×	`prod-exp`
11×	`pow-prod-down` `cbrt-unprod`
7×	`*-commutative`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Calls

4 calls:

Slowest

90.0ms	(* x (* x (* 2/3 x)))
19.0ms	(* x (* 2/3 x))
11.0ms	(* (pow x 5) 2/5)
5.0ms	(* 2/3 x)

series175.0ms

Calls

4 calls:

Slowest

63.0ms	(* (pow x 5) 2/5)
54.0ms	(* x (* x (* 2/3 x)))
41.0ms	(* x (* 2/3 x))
17.0ms	(* 2/3 x)

simplify4.4s

Calls

96 calls:

Slowest

637.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x))))
635.0ms	(* (* (* x x) x) (* (* (* x (* 2/3 x)) (* x (* 2/3 x))) (* x (* 2/3 x))))
583.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x))))
258.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
204.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (* x (* x (* 2/3 x)))))
0.3b	(* 2/3 x)
0.1b	(* (pow x 5) 2/5)
0.1b	(* x (* 2/3 x))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

58×	`associate-r`
51×	`add-sqr-sqrt`
35×	`log-pow`
33×	`exp-prod`
25×	`associate-l`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`unswap-sqr`
17×	`add-exp-log`
14×	`pow1`
13×	`add-cbrt-cube`
7×	`prod-exp` `*-commutative`
5×	`pow-prod-down` `cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16`
3×	`log-prod`
2×	`rem-log-exp` `sqr-pow`
1×	`pow-to-exp` `exp-to-pow` `pow-exp`

Calls

4 calls:

Slowest

111.0ms	(log (exp (* x (* x (* 2/3 x)))))
34.0ms	(* x (* 2/3 x))
21.0ms	(* (pow x 5) 2/5)
11.0ms	(* 2/3 x)

series194.0ms

Calls

4 calls:

Slowest

74.0ms	(* (pow x 5) 2/5)
57.0ms	(log (exp (* x (* x (* 2/3 x)))))
42.0ms	(* x (* 2/3 x))
20.0ms	(* 2/3 x)

simplify3.6s

Calls

94 calls:

Slowest

375.0ms	(log (sqrt (exp (* x (* x (* 2/3 x))))))
347.0ms	(log (* (cbrt (exp (* x (* x (* 2/3 x))))) (cbrt (exp (* x (* x (* 2/3 x)))))))
338.0ms	(exp (* x (* x (* 2/3 x))))
282.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
187.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.7s	3366×	body	1280	valid
1.6s	2490×	body	640	valid
926.0ms	1285×	body	320	valid
885.0ms	8028×	body	80	nan
186.0ms	658×	body	160	valid
22.0ms	201×	body	80	valid