Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

348×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.0s)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite174.0ms

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:

19.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
102.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
51.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series131.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
60.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
44.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (652.0ms)

Iter	Nodes	Cost
0	133	1266
1	354	1207
2	1028	1119
3	3307	1101
done	5002	1101

prune178.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

17.0ms	(- (/ 2.0 t) 2.0)
53.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
310.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
8.0ms	(/ 2.0 (* t z))

series151.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ 2.0 t) 2.0)
36.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
56.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
25.0ms	(/ 2.0 (* t z))

simplify684.0ms

Counts

89 → 89

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	152	1463
1	411	1364
2	1450	1298
done	5000	1254

prune191.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite536.0ms

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-exp-log` `add-cbrt-cube`
8×	`frac-add`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `flip3--` `flip3-+` `diff-log` `div-exp` `associate-/r*` `flip--` `flip-+` `distribute-lft-out--`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `difference-of-squares`
1×	`associate-+l-` `associate-+l+` `frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

75.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
18.0ms	(- (/ 2.0 t) 2.0)
425.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
11.0ms	(/ (/ 2.0 t) z)

series152.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
36.0ms	(- (/ 2.0 t) 2.0)
60.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
23.0ms	(/ (/ 2.0 t) z)

simplify851.0ms

Counts

138 → 138

Iterations

Useful iterations: done (846.0ms)

Iter	Nodes	Cost
0	254	2128
1	621	1975
2	1757	1903
done	5001	1871

prune331.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0))
0.0b	(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0)) (/ x y))
0.4b	(/ (* t z) (sqrt 2.0))
0.7b	(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
65×	`*-un-lft-identity`
60×	`sqrt-prod`
51×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
16×	`associate-/r*`
9×	`div-inv`
8×	`frac-add`
7×	`cbrt-undiv` `div-exp` `sum-log` `distribute-lft-out` `associate-/l*`
4×	`pow1`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `distribute-lft-out--`
1×	`associate-+l-` `sub-neg` `associate-+l+` `associate-/r/`

Counts

4 → 161

Calls

4 calls:

90.0ms	(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0))
519.0ms	(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0)) (/ x y))
10.0ms	(/ (* t z) (sqrt 2.0))
17.0ms	(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0))
117.0ms	(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (- (/ 2.0 t) 2.0)) (/ x y))
78.0ms	(/ (* t z) (sqrt 2.0))
81.0ms	(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

simplify1.0s

Counts

173 → 173

Iterations

Useful iterations: done (995.0ms)

Iter	Nodes	Cost
0	258	3253
1	656	2952
2	2313	2540
done	5001	2459

prune349.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample734.0ms

Algorithm

intervals

Results

383.0ms

10422×

body

valid