Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify610.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	37	13
3	62	13
4	105	13
5	136	13
6	169	13
7	198	13
8	242	13
9	304	13
10	342	13
11	381	13
12	414	13
13	426	13
done	426	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

42.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
23.0ms	(* 60.0 (- x y))
22.0ms	(/ (* 60.0 (- x y)) (- z t))

series232.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
31.0ms	(* 60.0 (- x y))
68.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify785.0ms

Counts

75 → 75

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	138	885
1	367	838
2	1213	752
done	5000	746

prune176.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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-exp-log` `add-cbrt-cube`
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` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

19.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
21.0ms	(/ (- x y) (- z t))
45.0ms	(* 60.0 (/ (- x y) (- z t)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
59.0ms	(/ (- x y) (- z t))
68.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.7s

Counts

122 → 122

Iterations

Useful iterations: 3 (767.0ms)

Iter	Nodes	Cost
0	170	1605
1	444	1510
2	1291	1416
3	4016	1410
done	5000	1410

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite165.0ms

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-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

105.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
21.0ms	(/ (- z t) (- x y))
26.0ms	(/ 60.0 (/ (- z t) (- x y)))

series483.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
57.0ms	(/ (- z t) (- x y))
272.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.1s

Counts

214 → 214

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	300	3766
1	710	3523
2	2547	3409
done	5001	3397

prune509.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

52.0ms	(+ (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))) (* a 120.0))
21.0ms	(/ (- x y) (- z t))
47.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
54.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

series759.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(+ (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))) (* a 120.0))
55.0ms	(/ (- x y) (- z t))
129.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
217.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

simplify1.0s

Counts

154 → 154

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	194	2265
1	511	1968
2	1755	1800
done	5000	1786

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	16	13
done	16	13

end0.0ms

sample614.0ms

Algorithm

intervals

Results

264.0ms	8587×	body	80	valid
5.0ms	41×	body	1280	valid
4.0ms	23×	body	2560	valid
3.0ms	31×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid