Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	67×	body	640	valid
3.0ms	130×	body	80	valid
3.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/ 1.0 (+ x 1.0))
63.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
60.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify147.0ms

Counts: 64 → 64

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.7b	(- x (+ x 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

20.0ms	(* (+ x 1.0) x)
34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series91.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (+ x 1.0) x)
36.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify50.0ms

Counts: 72 → 72

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 474

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
55.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series69.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
38.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify77.0ms

Counts: 480 → 480

prune941.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
0.4b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.4b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
0.4b	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

1254×	`times-frac`
1135×	`*-un-lft-identity`
737×	`cbrt-prod`
723×	`add-sqr-sqrt`
475×	`add-cube-cbrt`
159×	`distribute-lft-out`
152×	`swap-sqr`
132×	`distribute-lft-out--`
96×	`difference-of-squares`
86×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3--` `flip--`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 637

Calls

4 calls:

211.0ms	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
21.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
15.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
14.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))))
169.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
164.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))
163.0ms	(cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))

simplify197.0ms

Counts: 649 → 649

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample710.0ms

Algorithm

intervals

Results

211.0ms	1916×	body	640	valid
192.0ms	4213×	body	80	valid
142.0ms	1297×	body	320	valid
27.0ms	575×	body	160	valid