Details

sample207.0ms

Algorithm: halfpoints

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1039
5	247
4	128
3	83
2	48
1	30
0	16

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.9b	(- (exp x) (exp (- x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 122

Calls

4 calls:

21.0ms	(+ (exp x) (exp (- x)))
79.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
66.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
128.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
44.0ms	(- (exp x) (exp (- x)))

simplify1.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	2816
1	583
0	231

prune798.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.9b	(- (exp x) (exp (- x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`add-cbrt-cube` `prod-diff` `add-exp-log`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`exp-prod` `fma-neg` `associate-r` `sqrt-prod`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `sub-neg` `flip3--` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv` `flip--`

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
60.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp x))
99.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
125.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
43.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	1829
1	432
0	190

prune596.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
16.9b	(- (exp x) (exp (- x)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
40×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
30×	`sqrt-pow1`
25×	`add-cube-cbrt`
23×	`associate-l`
22×	`pow-prod-down`
16×	`times-frac`
11×	`add-cbrt-cube` `pow1/2` `add-exp-log`
10×	`pow-prod-up`
9×	`prod-diff`
7×	`associate-r` `associate-*l/`
6×	`pow-sqr` `add-log-exp`
5×	`sqrt-div` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`pow2` `frac-times` `cbrt-undiv` `sub-neg` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `diff-log` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 136

Calls

4 calls:

14.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
65.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
169.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
20.0ms	(- (exp x) (exp (- x)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
147.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
188.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
67.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	2769
1	567
0	231

prune915.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample7.3s

Algorithm: halfpoints