Details

sample65.0ms

Algorithm

intervals

Results

33.0ms

347×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (173.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	106	16
4	228	16
5	392	15
6	1047	15
7	4774	15
done	5000	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
8.7b	(/ (fma z (- 1.0 t) 1) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
5.0ms	(/ (fma z (- 1.0 t) 1) z)

series155.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
47.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	80	669
1	143	659
2	385	590
3	1854	590
done	5001	589

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))
9.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

51.0ms	(* (* z 2.0) (- 1.0 t))
40.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
36.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series240.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (* z 2.0) (- 1.0 t))
80.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
94.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 2 (582.0ms)

Iter	Nodes	Cost
0	194	1833
1	598	1600
2	3463	1324
done	5001	1324

prune336.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.0b	(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
0.4b	(/ 2.0 (* t z))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
48×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`associate-+r+` `times-frac`
39×	`prod-diff`
20×	`fma-def`
17×	`add-log-exp`
8×	`add-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
6×	`div-inv`
3×	`pow1` `expm1-log1p-u` `associate-+r-` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

3 → 127

Calls

3 calls:

88.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
235.0ms	(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
8.0ms	(/ 2.0 (* t z))

series166.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
90.0ms	(+ (/ x y) (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)))
30.0ms	(/ 2.0 (* t z))

simplify1.6s

Counts

136 → 136

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	250	2265
1	697	2005
2	2972	1850
done	5001	1784

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.0b	(+ (/ x y) (+ (/ 2.0 (* t z)) (/ 2.0 t)))
0.4b	(/ 2.0 (* t z))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`fma-def`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`frac-add` `div-inv` `distribute-lft-out`
4×	`sum-log`
3×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `div-exp`
1×	`associate-+r+` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

3 → 79

Calls

3 calls:

29.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
88.0ms	(+ (/ x y) (+ (/ 2.0 (* t z)) (/ 2.0 t)))
8.0ms	(/ 2.0 (* t z))

series154.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
60.0ms	(+ (/ x y) (+ (/ 2.0 (* t z)) (/ 2.0 t)))
25.0ms	(/ 2.0 (* t z))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	984
1	349	911
2	1675	850
done	5000	848

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.0b 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	15	15
done	15	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

10440×

body

valid