Details

sample62.0ms

Algorithm

intervals

Results

29.0ms

343×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	96	17
4	178	17
5	281	17
6	867	17
7	3899	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize42.0ms

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))
9.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite206.0ms

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:

68.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
55.0ms	(* (* z 2.0) (- 1.0 t))
80.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series313.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
81.0ms	(* (* z 2.0) (- 1.0 t))
122.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.0s

Counts

71 → 71

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	140	1189
1	422	1116
2	2081	986
done	5001	984

prune555.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
0.0b	(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.7b	(/ 2.0 (* t z))

rewrite673.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

605.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
47.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
16.0ms	(/ 2.0 (* t z))

series241.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ 2.0 (* t z))) 2.0))
94.0ms	(+ (/ 2.0 t) (/ 2.0 (* t z)))
41.0ms	(/ 2.0 (* t z))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: 2 (368.0ms)

Iter	Nodes	Cost
0	126	1037
1	364	967
2	1713	905
done	5000	905

prune404.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
0.0b	(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
0.3b	(* (/ 1 t) (/ 2.0 z))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`add-exp-log` `times-frac`
24×	`*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`add-cbrt-cube`
14×	`add-log-exp`
13×	`associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
5×	`pow1` `frac-add` `sum-log`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`associate-+r+`
2×	`+-commutative` `frac-times` `rec-exp` `flip3-+` `diff-log` `1-exp` `associate-r/` `associate-l/` `flip-+` `div-inv` `distribute-lft-out`
1×	`associate-+r-` `sub-neg` `flip3--` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--`

Counts

3 → 91

Calls

3 calls:

293.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
37.0ms	(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
42.0ms	(* (/ 1 t) (/ 2.0 z))

series241.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z))) 2.0))
84.0ms	(+ (/ 2.0 t) (* (/ 1 t) (/ 2.0 z)))
42.0ms	(* (/ 1 t) (/ 2.0 z))

simplify2.9s

Counts

100 → 100

Iterations

Useful iterations: 2 (859.0ms)

Iter	Nodes	Cost
0	202	1590
1	647	1463
2	3516	1161
done	5000	1161

prune598.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`*-un-lft-identity`
47×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`add-log-exp`
13×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
7×	`div-inv`
5×	`sum-log`
3×	`pow1` `cbrt-undiv` `associate-+r+` `div-exp` `frac-add` `associate-/r*`
2×	`+-commutative` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `distribute-rgt-out` `flip3--` `frac-2neg` `associate--l+` `clear-num` `flip--` `associate-/l/`

Counts

3 → 109

Calls

3 calls:

1.2s	(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 z) t)) 2.0))
83.0ms	(+ (/ 2.0 t) (/ (/ 2.0 z) t))
29.0ms	(/ (/ 2.0 z) t)

series222.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (/ x y) (- (+ (/ 2.0 t) (/ (/ 2.0 z) t)) 2.0))
86.0ms	(+ (/ 2.0 t) (/ (/ 2.0 z) t))
36.0ms	(/ (/ 2.0 z) t)

simplify1.8s

Counts

118 → 118

Iterations

Useful iterations: 2 (616.0ms)

Iter	Nodes	Cost
0	233	1739
1	633	1625
2	2710	1559
done	5000	1559

prune883.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes417.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	14	15
done	14	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s

10528×

body

valid