Details

sample195.0ms

Algorithm: halfpoints

simplify974.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

27.0ms	(+ (exp x) (exp (- x)))
84.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series133.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp x) (exp (- x)))
97.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify1.7s

Counts: 53 → 53

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
62×	`*-un-lft-identity`
49×	`times-frac`
45×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
19×	`associate-l`
12×	`distribute-lft-out`
6×	`pow1` `add-exp-log`
5×	`add-cbrt-cube`
4×	`cbrt-div` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-r` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

25.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
23.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
23.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
119.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

series1.1s

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
324.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
259.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
245.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

simplify1.2s

Counts: 124 → 124

prune623.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.3b	(cbrt (* (pow (cos y) 3) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))
0.3b	(pow (cos y) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`cbrt-prod`
24×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `cbrt-div` `pow1/3` `cube-prod`
2×	`div-inv`
1×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `associate-*r/` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

12.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
12.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
19.0ms	(cbrt (* (pow (cos y) 3) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))
7.0ms	(pow (cos y) 3)

series794.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
237.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
219.0ms	(cbrt (* (pow (cos y) 3) (/ (+ (exp (* -1 x)) (exp x)) 2.0)))
34.0ms	(pow (cos y) 3)

simplify523.0ms

Counts: 95 → 95

prune502.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b	(* 1/12 (pow x 4))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
15×	`add-cube-cbrt`
13×	`add-exp-log` `times-frac`
10×	`associate-r` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`sum-log` `cbrt-unprod`
2×	`*-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

3 → 74

Calls

3 calls:

30.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
146.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
16.0ms	(* 1/12 (pow x 4))

series219.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
115.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
51.0ms	(* 1/12 (pow x 4))

simplify758.0ms

Counts: 83 → 83

prune389.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.9s

end0.0ms

sample5.8s

Algorithm: halfpoints