Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3
done	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

24.0ms

(/ (+ x 1.0) (- 1.0 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify82.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292
done	5001	292

prune77.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

36.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
35.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
24.0ms	(/ (+ x 1.0) (- 1.0 x))

series153.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
86.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
35.0ms	(/ (+ x 1.0) (- 1.0 x))

simplify103.0ms

Counts

132 → 132

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	324	752
1	933	705
2	3664	694
3	5001	685
done	5001	685

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
94×	`add-sqr-sqrt`
74×	`times-frac`
57×	`sqrt-prod`
45×	`add-cube-cbrt`
41×	`associate-r`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-div`
7×	`pow1` `associate-l` `associate-/l*`
6×	`add-log-exp` `unswap-sqr`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `exp-prod` `exp-to-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `hypot-def` `rem-exp-log`

Counts

4 → 170

Calls

4 calls:

8.0ms	(sqrt (+ x 1.0))
6.0ms	(exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x))))
25.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
68.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ x 1.0))
84.0ms	(exp (* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x))))
96.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
33.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

simplify62.0ms

Counts

182 → 182

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	559	1501
1	2153	1348
2	5001	1277
done	5001	1277

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.4b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
17.5b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

285×	`add-sqr-sqrt`
256×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
64×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
9×	`difference-cubes` `add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r/` `associate-/l*`
3×	`flip3-+` `associate-r` `flip-+`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 280

Calls

2 calls:

53.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
177.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series112.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
68.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify123.0ms

Counts

286 → 286

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1016	3124
1	4814	3021
2	5001	3021
done	5001	3021

prune548.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5
done	8	5

end0.0ms

sample240.0ms

Algorithm

intervals

Results

127.0ms

8000×

body

valid