Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	277×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify1.7s

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: 0.2b

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))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite117.0ms

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:

31.0ms	(* 60.0 (- x y))
61.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
21.0ms	(/ (* 60.0 (- x y)) (- z t))

series339.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* 60.0 (- x y))
185.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
103.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify898.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1512
1	385
0	138

prune469.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite189.0ms

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:

28.0ms	(/ (- z t) (- x y))
122.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
28.0ms	(/ 60.0 (/ (- z t) (- x y)))

series689.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (- z t) (- x y))
226.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
401.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.5s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	4276
1	829
0	300

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite80.0ms

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:

18.0ms	(/ (- x y) (- z t))
16.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
41.0ms	(* 60.0 (/ (- x y) (- z t)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- x y) (- z t))
158.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
94.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify998.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1871
1	473
0	170

prune657.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (* (/ 60.0 (- z t)) (- x y))) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

67.0ms	(+ (* 1 (* (/ 60.0 (- z t)) (- x y))) (* a 120.0))
9.0ms	(/ 60.0 (- z t))
55.0ms	(* (/ 60.0 (- z t)) (- x y))

series747.0ms

Counts

3 → 9

Calls

3 calls:

250.0ms	(+ (* 1 (* (/ 60.0 (- z t)) (- x y))) (* a 120.0))
75.0ms	(/ 60.0 (- z t))
422.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	2430
1	509
0	184

prune738.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes951.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	8505×	body	80	valid
14.0ms	48×	body	1280	valid
9.0ms	23×	body	2560	valid
9.0ms	34×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid