Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

23.0ms	(/ 1.0 (- x 1.0))
21.0ms	(/ x (+ x 1.0))
77.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1.0 (- x 1.0))
42.0ms	(/ x (+ x 1.0))
149.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.4s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1183
1	431	1098
2	1741	1043
done	5000	1039

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
58×	`times-frac`
47×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
21×	`fma-def`
18×	`distribute-lft-out`
11×	`distribute-lft-out--`
9×	`associate-/r*` `add-log-exp`
8×	`add-exp-log` `exp-prod` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `rem-exp-log`
1×	`+-commutative` `exp-sum` `frac-add`

Counts

4 → 134

Calls

4 calls:

332.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
24.0ms	(/ 1.0 (- x 1.0))
13.0ms	(/ x (+ x 1.0))
114.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
39.0ms	(/ 1.0 (- x 1.0))
45.0ms	(/ x (+ x 1.0))
213.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.8s

Counts

146 → 146

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	206	1467
1	503	1362
2	2081	1283
done	5000	1275

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
67×	`times-frac`
39×	`distribute-lft-out`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
16×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

179.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
13.0ms	(/ x (+ x 1.0))
74.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
180.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series703.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
46.0ms	(/ x (+ x 1.0))
178.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
267.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.7s

Counts

161 → 161

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	188	2492
1	557	2123
2	2851	1942
done	5001	1938

prune443.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	11	13
done	11	13

end0.0ms

sample658.0ms

Algorithm

intervals

Results

466.0ms

8000×

body

valid