Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	274×	body	80	valid
0.0ms	2×	body	1280	valid

simplify835.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize18.0ms

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))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite98.0ms

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:

26.0ms	(* 60.0 (- x y))
47.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
23.0ms	(/ (* 60.0 (- x y)) (- z t))

series253.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
143.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
78.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	885
1	367	838
2	1210	752
done	5001	746

prune327.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite134.0ms

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:

38.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
37.0ms	(/ (- x y) (- z t))
54.0ms	(* 60.0 (/ (- x y) (- z t)))

series342.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
97.0ms	(/ (- x y) (- z t))
83.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify2.4s

Counts

122 → 122

Iterations

Useful iterations: 3 (1.1s)

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

prune430.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

14.0ms	(/ 60.0 (- z t))
24.0ms	(+ (pow (* (- x y) (/ 60.0 (- z t))) 1) (* a 120.0))
74.0ms	(* (- x y) (/ 60.0 (- z t)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ 60.0 (- z t))
185.0ms	(+ (pow (* (- x y) (/ 60.0 (- z t))) 1) (* a 120.0))
85.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	166	1299
1	401	1178
2	1490	1092
done	5000	1092

prune579.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t))) 1) (* a 120.0))
0.2b	(/ (sqrt 60.0) (- z t))
0.2b	(* (- x y) (sqrt 60.0))
0.3b	(* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

25.0ms	(+ (pow (* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t))) 1) (* a 120.0))
20.0ms	(/ (sqrt 60.0) (- z t))
27.0ms	(* (- x y) (sqrt 60.0))
100.0ms	(* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

497.0ms	(+ (pow (* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t))) 1) (* a 120.0))
102.0ms	(/ (sqrt 60.0) (- z t))
114.0ms	(* (- x y) (sqrt 60.0))
294.0ms	(* (* (- x y) (sqrt 60.0)) (/ (sqrt 60.0) (- z t)))

simplify1.6s

Counts

164 → 164

Iterations

Useful iterations: 2 (522.0ms)

Iter	Nodes	Cost
0	219	2421
1	565	1971
2	2307	1825
done	5000	1825

prune692.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	15
1	20	13
done	20	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	8564×	body	80	valid
17.0ms	53×	body	1280	valid
8.0ms	22×	body	2560	valid
7.0ms	25×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	5120	valid