Details

sample46.0ms

Algorithm

intervals

Results

23.0ms

328×

body

valid

simplify1.9s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.7b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

32.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
37.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
70.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify700.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	94	892
1	282	834
2	1192	738
done	5001	738

prune182.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 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))
0.8b	(/ 2.0 (* t z))

rewrite530.0ms

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:

473.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
42.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
13.0ms	(/ 2.0 (* t z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
75.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
37.0ms	(/ 2.0 (* t z))

simplify934.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	126	1039
1	365	971
2	1708	909
done	5000	909

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite416.0ms

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:

346.0ms	(+ (/ x y) (- (+ (* (/ 1 t) (/ 2.0 z)) (/ 2.0 t)) 2.0))
27.0ms	(+ (* (/ 1 t) (/ 2.0 z)) (/ 2.0 t))
38.0ms	(* (/ 1 t) (/ 2.0 z))

series183.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (/ x y) (- (+ (* (/ 1 t) (/ 2.0 z)) (/ 2.0 t)) 2.0))
70.0ms	(+ (* (/ 1 t) (/ 2.0 z)) (/ 2.0 t))
30.0ms	(* (/ 1 t) (/ 2.0 z))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: 2 (491.0ms)

Iter	Nodes	Cost
0	203	1594
1	648	1471
2	3533	1169
done	5000	1169

prune339.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0s

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:

939.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
70.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
17.0ms	(/ (/ 2.0 z) t)

series152.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
59.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
28.0ms	(/ (/ 2.0 z) t)

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: 2 (468.0ms)

Iter	Nodes	Cost
0	233	1729
1	631	1617
2	2703	1555
done	5000	1555

prune373.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

10360×

body

valid