Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

339×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	1501
6	454
5	215
4	152
3	92
2	44
1	25
0	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize38.0ms

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)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1`
6×	`add-cube-cbrt`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `associate-*r/` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3--` `associate-l` `frac-add` `-commutative` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

38.0ms	(* (* z 2.0) (- 1.0 t))
47.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
50.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series196.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (* z 2.0) (- 1.0 t))
75.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
74.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1617
1	419
0	139

prune542.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 t) 2.0)
0.0b	(+ (/ x y) (+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0)))
0.0b	(+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0))
0.6b	(/ 2.0 (* z t))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

15.0ms	(- (/ 2.0 t) 2.0)
220.0ms	(+ (/ x y) (+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0)))
59.0ms	(+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0))
13.0ms	(/ 2.0 (* z t))

series189.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ 2.0 t) 2.0)
76.0ms	(+ (/ x y) (+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0)))
44.0ms	(+ (/ 2.0 (* z t)) (- (/ 2.0 t) 2.0))
26.0ms	(/ 2.0 (* z t))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5006
2	1982
1	450
0	155

prune553.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
20×	`add-log-exp`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `associate-+r+` `associate-+r-` `associate-/r*` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `flip--` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `difference-of-squares`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

16.0ms	(- (/ 2.0 t) 2.0)
219.0ms	(+ (/ x y) (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)))
71.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
12.0ms	(/ (/ 2.0 z) t)

series191.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (/ 2.0 t) 2.0)
75.0ms	(+ (/ x y) (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)))
32.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
23.0ms	(/ (/ 2.0 z) t)

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	2323
1	696
0	256

prune871.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) (- (/ 2.0 t) 2.0))
0.3b	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
0.4b	(/ (sqrt 2.0) z)
0.5b	(/ (sqrt 2.0) t)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
9×	`add-log-exp` `unswap-sqr`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `frac-add`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-times` `flip3--` `associate-l/` `associate-r/` `flip--`
2×	`associate-+r+` `clear-num` `sum-log` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 172

Calls

4 calls:

41.0ms	(+ (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) (- (/ 2.0 t) 2.0))
28.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
5.0ms	(/ (sqrt 2.0) z)
5.0ms	(/ (sqrt 2.0) t)

series250.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) (- (/ 2.0 t) 2.0))
85.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
45.0ms	(/ (sqrt 2.0) z)
48.0ms	(/ (sqrt 2.0) t)

simplify2.3s

Counts

184 → 184

Iterations

Iter	Nodes
done	5003
2	3266
1	710
0	232

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes425.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

10415×

body

valid