Details

sample74.0ms

Algorithm

intervals

Results

36.0ms

713×

body

valid

simplify37.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

44.0ms	(* (cosh x) (/ y x))
16.0ms	(/ (* (cosh x) (/ y x)) z)

series293.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* (cosh x) (/ y x))
183.0ms	(/ (* (cosh x) (/ y x)) z)

simplify53.0ms

Counts: 66 → 66

prune172.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.3b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.2b	(/ (* z x) y)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
16×	`times-frac`
12×	`cbrt-undiv` `div-exp`
11×	`*-un-lft-identity`
10×	`associate-/r*`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `associate-r/` `clear-num` `flip-+` `associate-/l/` `associate-/l`
1×	`+-commutative` `sum-log` `associate-/r/` `distribute-lft-out`

Counts

3 → 73

Calls

3 calls:

27.0ms	(+ (exp (* -1 x)) (exp x))
37.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
17.0ms	(/ (* z x) y)

series214.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (exp (* -1 x)) (exp x))
144.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
28.0ms	(/ (* z x) y)

simplify76.0ms

Counts: 82 → 82

prune288.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.3b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* (* z x) (/ 1 y)))
5.3b	(* (* z x) (/ 1 y))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-exp-log`
56×	`add-cbrt-cube`
45×	`prod-exp`
30×	`div-exp`
23×	`cbrt-unprod`
16×	`cbrt-undiv`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
8×	`pow1`
6×	`rec-exp` `1-exp`
5×	`add-log-exp`
4×	`associate-*r/`
3×	`pow-prod-down`
2×	`flip3-+` `associate-/r/` `un-div-inv` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-l` `clear-num` `associate-/r` `sum-log` `-commutative` `distribute-lft-out` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

11.0ms	(+ (exp (* -1 x)) (exp x))
68.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* (* z x) (/ 1 y)))
41.0ms	(* (* z x) (/ 1 y))

series200.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (exp (* -1 x)) (exp x))
131.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* (* z x) (/ 1 y)))
28.0ms	(* (* z x) (/ 1 y))

simplify85.0ms

Counts: 104 → 104

prune208.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* x y) z))
0.0b	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
3.6b	(/ (* x y) z)
5.2b	(/ y (* x z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(* 1/2 (/ (* x y) z))
24.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
13.0ms	(/ (* x y) z)
20.0ms	(/ y (* x z))

series141.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 1/2 (/ (* x y) z))
47.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
22.0ms	(/ (* x y) z)
28.0ms	(/ y (* x z))

simplify35.0ms

Counts: 93 → 93

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes305.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify31.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s

22643×

body

valid