Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

348×

body

valid

simplify422.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	45	9
4	75	9
5	106	9
6	121	9
7	137	9
8	171	9
9	237	9
10	323	9
11	364	9
12	438	9
13	458	9
done	458	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.8b	(/ (* y (- z t)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z t)) a))
10.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series148.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
55.0ms	(/ (* y (- z t)) a)

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	116	722
1	297	679
2	868	589
3	3970	589
done	5001	588

prune170.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.9b	(/ y (/ a (- z t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

30.0ms	(+ x (/ y (/ a (- z t))))
6.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (/ y (/ a (- z t))))
31.0ms	(/ a (- z t))
60.0ms	(/ y (/ a (- z t)))

simplify797.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	245	2291
1	548	2136
2	1803	2056
done	5000	2056

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- z t)))
6.1b	(* (/ y a) (- z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

3.0ms	(+ x (* (/ y a) (- z t)))
16.0ms	(* (/ y a) (- z t))

series112.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.0s

Counts

63 → 63

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	123	723
1	322	691
2	1057	619
3	4246	619
done	5001	619

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* z (/ y a)))
0.0b	(+ (+ x (* z (/ y a))) (* (/ y a) (- t)))
3.8b	(* (/ y a) (- t))
4.7b	(* z (/ y a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
16×	`associate-l`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
4×	`prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `associate-*l/` `distribute-rgt-neg-out` `flip-+`
2×	`cbrt-undiv` `+-commutative` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `div-inv`
1×	`neg-mul-1` `associate-+l+` `associate-*r/` `unsub-neg`

Counts

4 → 100

Calls

4 calls:

2.0ms	(+ x (* z (/ y a)))
10.0ms	(+ (+ x (* z (/ y a))) (* (/ y a) (- t)))
11.0ms	(* (/ y a) (- t))
8.0ms	(* z (/ y a))

series134.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (* z (/ y a)))
52.0ms	(+ (+ x (* z (/ y a))) (* (/ y a) (- t)))
30.0ms	(* (/ y a) (- t))
21.0ms	(* z (/ y a))

simplify905.0ms

Counts

112 → 112

Iterations

Useful iterations: done (902.0ms)

Iter	Nodes	Cost
0	181	1248
1	508	1135
2	1831	1014
done	5000	995

prune284.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes313.0ms

Accuracy

74.9% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	50
1	38	50
2	41	50
3	44	50
done	44	50

end0.0ms

sample624.0ms

Algorithm

intervals

Results

302.0ms

10761×

body

valid