Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

12.0ms	(/ x (+ x 1.0))
86.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
20.0ms	(/ 1.0 (- x 1.0))

series278.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ x (+ x 1.0))
196.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms	(/ 1.0 (- x 1.0))

simplify1.9s

Counts: 96 → 96

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
3.2b	(log (exp (/ x (+ x 1.0))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
39×	`times-frac`
33×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod`
9×	`associate-/r*` `distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3--` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/ x (+ x 1.0))
16.0ms	(/ 1.0 (- x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
39.0ms	(log (exp (/ x (+ x 1.0))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
205.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
46.0ms	(log (exp (/ x (+ x 1.0))))

simplify2.2s

Counts: 128 → 128

prune461.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
21.9b	(/ (pow x 3) (pow (+ x 1.0) 3))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

274×	`times-frac`
253×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
118×	`unpow-prod-down` `cube-prod`
31×	`add-exp-log`
29×	`cube-mult` `unpow3` `sqr-pow`
27×	`swap-sqr`
26×	`distribute-lft-out`
24×	`distribute-lft-out--`
21×	`associate-r` `associate-l` `frac-add` `add-cbrt-cube`
18×	`difference-of-squares`
17×	`frac-times` `associate-*r/`
14×	`div-exp` `associate-/r*` `associate-/r/`
12×	`pow1` `flip3--` `flip--` `associate-/l*`
11×	`associate-*l/`
8×	`pow-exp`
7×	`pow-to-exp` `div-inv`
6×	`cbrt-undiv` `frac-sub` `add-log-exp`
4×	`associate-+l+` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`cube-div` `pow-unpow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `flip-+` `rem-cube-cbrt`
1×	`+-commutative` `pow2` `pow-pow` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 411

Calls

4 calls:

114.0ms	(+ (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
65.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
15.0ms	(pow (/ 1.0 (- x 1.0)) 3)
43.0ms	(/ (pow x 3) (pow (+ x 1.0) 3))

series326.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
44.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
54.0ms	(pow (/ 1.0 (- x 1.0)) 3)
78.0ms	(/ (pow x 3) (pow (+ x 1.0) 3))

simplify748.0ms

Counts: 423 → 423

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

88.1% (0.0b remaining)

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

bsearch0.0ms

simplify27.0ms

end0.0ms

sample612.0ms

Algorithm

intervals

Results

427.0ms

8000×

body

valid