Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	280×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
27	4943
26	4711
25	4475
24	4250
23	4024
22	3792
21	3556
20	3331
19	3105
18	2836
17	2593
16	2368
15	2126
14	1751
13	1361
12	992
11	606
10	416
9	304
8	242
7	205
6	169
5	131
4	91
3	54
2	35
1	22
0	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

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))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite136.0ms

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:

65.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
31.0ms	(* 60.0 (- x y))
38.0ms	(/ (* 60.0 (- x y)) (- z t))

series355.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
32.0ms	(* 60.0 (- x y))
110.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1222
1	385
0	138

prune600.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite98.0ms

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:

25.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
18.0ms	(/ (- x y) (- z t))
47.0ms	(* 60.0 (/ (- x y) (- z t)))

series399.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
76.0ms	(/ (- x y) (- z t))
115.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1484
1	467
0	170

prune757.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite190.0ms

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:

115.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
30.0ms	(/ (- z t) (- x y))
34.0ms	(/ 60.0 (/ (- z t) (- x y)))

series640.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
70.0ms	(/ (- z t) (- x y))
376.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify2.2s

Counts

214 → 214

Iterations

Iter	Nodes
done	5003
2	3208
1	822
0	300

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

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))))

rewrite246.0ms

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-cbrt-cube` `add-exp-log`
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--` `div-exp` `associate-*r/` `flip--`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `flip-+`

Counts

4 → 142

Calls

4 calls:

63.0ms	(+ (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))) (* a 120.0))
30.0ms	(/ (- x y) (- z t))
50.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
91.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

series1.0s

Counts

4 → 12

Calls

4 calls:

458.0ms	(+ (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))) (* a 120.0))
67.0ms	(/ (- x y) (- z t))
194.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
330.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

simplify1.8s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	1752
1	542
0	194

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

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	16
1	16
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

681.0ms	8545×	body	80	valid
15.0ms	44×	body	1280	valid
8.0ms	34×	body	640	valid
7.0ms	19×	body	2560	valid
3.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid