Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

353×

body

valid

simplify46.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

29.0ms	(* (* z 2.0) (- 1.0 t))
33.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
31.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series177.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* z 2.0) (- 1.0 t))
55.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
72.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify52.0ms

Counts: 71 → 71

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-exp-log`
11×	`add-cube-cbrt` `times-frac`
10×	`add-log-exp`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-+r+` `associate-r` `prod-exp` `associate--l+`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `unswap-sqr`
2×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `frac-add` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 76

Calls

3 calls:

71.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
26.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
61.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
41.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify44.0ms

Counts: 85 → 85

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.3b	(/ 2.0 (* t z))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`distribute-lft-out`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`associate-+r+` `times-frac` `frac-add` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `flip3-+` `div-exp` `associate--l+` `flip--` `flip-+`
1×	`associate-+r-` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

336.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
188.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
31.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
11.0ms	(/ 2.0 (* t z))

series173.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
34.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
52.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
24.0ms	(/ 2.0 (* t z))

simplify36.0ms

Counts: 86 → 86

prune197.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))
0.8b	(cbrt (+ (/ 2.0 z) 2.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
26×	`add-exp-log`
21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`frac-times`
15×	`flip3-+` `flip-+`
14×	`add-cube-cbrt`
13×	`associate-l`
12×	`cbrt-prod` `associate-*r/` `prod-exp` `add-cbrt-cube`
11×	`times-frac`
9×	`pow1`
6×	`cbrt-unprod`
5×	`associate-*l/`
4×	`div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

104.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
11.0ms	(cbrt (+ (/ 2.0 z) 2.0))
10.0ms	(cbrt (+ (/ 2.0 z) 2.0))
11.0ms	(cbrt (+ (/ 2.0 z) 2.0))

series559.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
113.0ms	(cbrt (+ (/ 2.0 z) 2.0))
122.0ms	(cbrt (+ (/ 2.0 z) 2.0))
107.0ms	(cbrt (+ (/ 2.0 z) 2.0))

simplify52.0ms

Counts: 110 → 110

prune375.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

10414×

body

valid