Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

342×

body

valid

simplify104.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
9.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite133.0ms

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:

38.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
45.0ms	(* (* z 2.0) (- 1.0 t))
47.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series239.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms	(* (* z 2.0) (- 1.0 t))
96.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify58.0ms

Counts: 71 → 71

prune217.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

106.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
92.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series135.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
53.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Counts: 68 → 68

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

138.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
67.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series123.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
51.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify37.0ms

Counts: 54 → 54

prune154.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite204.0ms

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:

143.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
17.0ms	(cbrt (+ (/ 2.0 z) 2.0))
23.0ms	(cbrt (+ (/ 2.0 z) 2.0))
15.0ms	(cbrt (+ (/ 2.0 z) 2.0))

series597.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (/ 1 t) (* (cbrt (+ (/ 2.0 z) 2.0)) (cbrt (+ (/ 2.0 z) 2.0))))
136.0ms	(cbrt (+ (/ 2.0 z) 2.0))
110.0ms	(cbrt (+ (/ 2.0 z) 2.0))
115.0ms	(cbrt (+ (/ 2.0 z) 2.0))

simplify59.0ms

Counts: 110 → 110

prune453.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

10448×

body

valid