Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	269×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2641
9	759
8	397
7	286
6	243
5	169
4	109
3	62
2	37
1	22
0	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
47.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
36.0ms	(/ (* 60.0 (- x y)) (- z t))

series336.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* 60.0 (- x y))
181.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
105.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify859.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1512
1	385
0	138

prune409.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 205

Calls

3 calls:

27.0ms	(/ (- z t) (- x y))
145.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
45.0ms	(/ 60.0 (/ (- z t) (- x y)))

series752.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- z t) (- x y))
248.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
424.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.4s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	4276
1	829
0	300

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

26.0ms	(/ (- x y) (- z t))
28.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
69.0ms	(* 60.0 (/ (- x y) (- z t)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- x y) (- z t))
182.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
100.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify868.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1871
1	473
0	170

prune781.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
0.2b	(* (sqrt 60.0) (- x y))
0.2b	(/ (sqrt 60.0) (- z t))
0.3b	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

48.0ms	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
37.0ms	(* (sqrt 60.0) (- x y))
20.0ms	(/ (sqrt 60.0) (- z t))
112.0ms	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

613.0ms	(+ (* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y))) (* a 120.0))
92.0ms	(* (sqrt 60.0) (- x y))
103.0ms	(/ (sqrt 60.0) (- z t))
828.0ms	(* (/ (sqrt 60.0) (- z t)) (* (sqrt 60.0) (- x y)))

simplify1.8s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	3342
1	651
0	231

prune916.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes799.0ms

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	15
1	15
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	8503×	body	80	valid
15.0ms	53×	body	1280	valid
7.0ms	33×	body	640	valid
6.0ms	21×	body	2560	valid
2.0ms	9×	body	320	valid
1.0ms	9×	body	160	valid