Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite102.0ms

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))
72.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
13.0ms	(/ 1.0 (- x 1.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x 1.0))
125.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))

simplify37.0ms

Counts: 96 → 96

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
45×	`times-frac`
42×	`exp-prod`
34×	`add-cube-cbrt`
23×	`log-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
3×	`associate-+l+` `flip3--` `flip--` `div-inv` `associate-/l*`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

160.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
27.0ms	(exp (/ 1.0 (- x 1.0)))
12.0ms	(/ 1.0 (- x 1.0))
23.0ms	(log (exp (/ 1.0 (- x 1.0))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
43.0ms	(exp (/ 1.0 (- x 1.0)))
33.0ms	(/ 1.0 (- x 1.0))
30.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify183.0ms

Counts: 127 → 127

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
2.5b	(log (exp (cbrt (pow (/ 1.0 (- x 1.0)) 3))))
21.5b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt` `*-un-lft-identity`
105×	`times-frac`
96×	`cbrt-prod`
73×	`add-cube-cbrt`
63×	`unpow-prod-down` `cube-prod`
52×	`log-pow`
51×	`exp-prod`
22×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1`
5×	`associate-/r*`
4×	`add-log-exp`
3×	`cube-mult` `pow-unpow` `log-prod` `unpow3` `associate-/l*` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `rem-log-exp` `clear-num` `rem-cbrt-cube`

Counts

4 → 220

Calls

4 calls:

15.0ms	(/ 1.0 (- x 1.0))
16.0ms	(pow (/ 1.0 (- x 1.0)) 3)
69.0ms	(log (exp (cbrt (pow (/ 1.0 (- x 1.0)) 3))))
14.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
55.0ms	(pow (/ 1.0 (- x 1.0)) 3)
30.0ms	(log (exp (cbrt (pow (/ 1.0 (- x 1.0)) 3))))
35.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify77.0ms

Counts: 232 → 232

prune447.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
167×	`times-frac`
158×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
29×	`distribute-lft-out--`
20×	`distribute-lft-out` `difference-of-squares`
18×	`pow1` `associate-/r/`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub`

Counts

4 → 244

Calls

4 calls:

12.0ms	(/ 1.0 (- x 1.0))
54.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
84.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
62.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (- x 1.0))
44.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
108.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
41.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify51.0ms

Counts: 256 → 256

prune523.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample487.0ms

Algorithm

intervals

Results

337.0ms

8000×

body

valid