Details

sample57.0ms

Algorithm

intervals

Results

30.0ms

332×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.4s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	95	17
4	154	17
5	224	17
6	349	17
7	755	17
8	2611	15
done	5000	15

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.1b	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

159.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
19.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
59.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series167.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
41.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
54.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.2s

Counts

67 → 67

Iterations

Useful iterations: 3 (990.0ms)

Iter	Nodes	Cost
0	133	1266
1	354	1207
2	1028	1119
3	3318	1101
done	5000	1101

prune252.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.2b	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
18×	`add-sqr-sqrt` `associate-*l/`
13×	`associate-r`
12×	`add-exp-log` `*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
8×	`frac-times` `add-cbrt-cube`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`pow1` `flip3--` `flip--`
4×	`prod-exp`
3×	`associate-l` `unswap-sqr`
2×	`+-commutative` `associate-*r/` `div-exp` `sum-log` `un-div-inv` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

3 → 78

Calls

3 calls:

49.0ms	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
42.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
130.0ms	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

series184.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
33.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
72.0ms	(* (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) (/ 1 t))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	199	2066
1	541	1827
2	1675	1697
done	5000	1637

prune348.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))
7.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite137.0ms

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:

40.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
40.0ms	(* (* z 2.0) (- 1.0 t))
55.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series275.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
81.0ms	(* (* z 2.0) (- 1.0 t))
103.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	140	1189
1	413	1116
2	1567	980
done	5000	980

prune243.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
9×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `times-frac` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `frac-add` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

32.0ms	(+ (/ 2.0 t) (/ x y))
260.0ms	(- (+ (/ 2.0 t) (/ x y)) 2.0)

series66.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (/ 2.0 t) (/ x y))
29.0ms	(- (+ (/ 2.0 t) (/ x y)) 2.0)

simplify1.4s

Counts

37 → 37

Iterations

Useful iterations: 3 (420.0ms)

Iter	Nodes	Cost
0	62	471
1	161	447
2	455	417
3	1473	411
done	5000	411

prune96.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes314.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	16	15
done	16	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

10460×

body

valid