Details

sample75.0ms

Algorithm

intervals

Results

51.0ms

336×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
7	2310
6	617
5	241
4	157
3	95
2	46
1	25
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize35.0ms

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)))
11.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite86.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

20.0ms	(* (* z 2.0) (- 1.0 t))
20.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
45.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series204.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (* z 2.0) (- 1.0 t))
72.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
75.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5016
2	1751
1	424
0	142

prune328.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))
0.9b	(/ 2.0 (* z t))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-log-exp`
11×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`sum-log`
4×	`distribute-rgt-out`
3×	`pow1` `associate-+r+` `frac-add` `insert-posit16` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `diff-log` `div-exp` `flip-+` `distribute-lft-out--`
1×	`clear-num` `associate-+r-` `associate-/r*` `sub-neg` `frac-2neg` `distribute-lft1-in` `flip3--` `prod-exp` `associate--l+` `cbrt-unprod` `flip--`

Counts

3 → 65

Calls

3 calls:

214.0ms	(+ (/ x y) (- (+ (/ 2.0 (* z t)) (/ 2.0 t)) 2.0))
27.0ms	(+ (/ 2.0 (* z t)) (/ 2.0 t))
9.0ms	(/ 2.0 (* z t))

series155.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ x y) (- (+ (/ 2.0 (* z t)) (/ 2.0 t)) 2.0))
55.0ms	(+ (/ 2.0 (* z t)) (/ 2.0 t))
21.0ms	(/ 2.0 (* z t))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1631
1	382
0	139

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite205.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
7×	`div-inv`
5×	`sum-log`
3×	`pow1` `cbrt-undiv` `associate-+r+` `associate-/r*` `div-exp` `frac-add` `insert-posit16`
2×	`+-commutative` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--`
1×	`clear-num` `associate-+r-` `sub-neg` `frac-2neg` `distribute-rgt-out` `flip3--` `associate--l+` `flip--` `associate-/l/`

Counts

3 → 112

Calls

3 calls:

15.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
181.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
7.0ms	(/ (/ 2.0 z) t)

series120.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
55.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
21.0ms	(/ (/ 2.0 z) t)

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	1972
1	610
0	235

prune550.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
85×	`times-frac`
61×	`*-un-lft-identity`
60×	`add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `div-inv`
3×	`frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`+-commutative` `sum-log` `flip3-+` `distribute-rgt-out` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 170

Calls

4 calls:

12.0ms	(+ (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) (/ 2.0 t))
22.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
7.0ms	(/ (sqrt 2.0) t)
7.0ms	(/ (sqrt 2.0) z)

series324.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t)) (/ 2.0 t))
90.0ms	(* (/ (sqrt 2.0) z) (/ (sqrt 2.0) t))
56.0ms	(/ (sqrt 2.0) t)
60.0ms	(/ (sqrt 2.0) z)

simplify1.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	2200
1	571
0	206

prune847.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s

10488×

body

valid