Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

18.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify932.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	867
1	221
0	93

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite115.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `log1p-expm1-u` `div-inv` `flip--`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

36.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
45.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
22.0ms	(/ (+ x 1.0) (- 1.0 x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
118.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
38.0ms	(/ (+ x 1.0) (- 1.0 x))

simplify988.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1164
1	339
0	168

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(log1p (expm1 (/ (+ x 1.0) (- 1.0 x))))
0.5b	(expm1 (/ (+ x 1.0) (- 1.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

19.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (expm1 (/ (+ x 1.0) (- 1.0 x))))
0.0ms	(expm1 (/ (+ x 1.0) (- 1.0 x)))

series387.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (+ x 1.0) (- 1.0 x))
182.0ms	(log1p (expm1 (/ (+ x 1.0) (- 1.0 x))))
159.0ms	(expm1 (/ (+ x 1.0) (- 1.0 x)))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1084
1	300
0	131

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))))
0.0b	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
2.4b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

2.0ms	(log (exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))))
0.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
20.0ms	(/ (+ x 1.0) (- 1.0 x))
1.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(log (exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))))
213.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
41.0ms	(/ (+ x 1.0) (- 1.0 x))
151.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1595
1	423
0	185

prune461.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample381.0ms

Algorithm

intervals

Results

261.0ms

8000×

body

valid