Details

sample69.0ms

Algorithm

intervals

Results

28.0ms

273×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	47	17
4	49	17
done	49	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.4b	(/ (* y z) t)
5.3b	(/ (* y b) t)
11.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

19.0ms	(+ x (/ (* y z) t))
20.0ms	(/ (* y z) t)
18.0ms	(/ (* y b) t)
157.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (/ (* y z) t))
31.0ms	(/ (* y z) t)
33.0ms	(/ (* y b) t)
212.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	179	1803
1	476	1721
2	2229	1609
done	5001	1599

prune846.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.4b	(/ (* y z) t)
5.4b	(* (* y b) (/ 1 t))
11.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
32×	`*-un-lft-identity`
24×	`times-frac`
23×	`add-cbrt-cube`
22×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-r` `prod-exp`
9×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-/r*` `associate-/r/` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
4×	`frac-add`
3×	`associate-*r/` `pow-prod-down` `un-div-inv` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-l` `sum-log` `*-commutative`

Counts

4 → 110

Calls

4 calls:

17.0ms	(+ x (/ (* y z) t))
23.0ms	(/ (* y z) t)
46.0ms	(* (* y b) (/ 1 t))
116.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (/ (* y z) t))
36.0ms	(/ (* y z) t)
38.0ms	(* (* y b) (/ 1 t))
209.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify3.5s

Counts

122 → 122

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	222	1968
1	636	1841
2	3638	1550
done	5002	1538

prune972.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
3.5b	(* (* y z) (/ 1 t))
5.3b	(/ (* y b) t)
11.4b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
12×	`distribute-lft-out`
9×	`pow1`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`pow-prod-down` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `frac-add` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative`

Counts

4 → 111

Calls

4 calls:

11.0ms	(+ x (* (* y z) (/ 1 t)))
45.0ms	(* (* y z) (/ 1 t))
17.0ms	(/ (* y b) t)
116.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (* (* y z) (/ 1 t)))
32.0ms	(* (* y z) (/ 1 t))
35.0ms	(/ (* y b) t)
198.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify5.1s

Counts

123 → 123

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	215	2033
1	617	1888
2	3685	1551
done	5000	1539

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.5b

localize67.0ms

Local error

Found 4 expressions with local error:

1.2b	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
3.4b	(/ (* y z) t)
4.4b	(/ (* y b) (* (cbrt t) (cbrt t)))
11.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
61×	`times-frac`
41×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`add-cbrt-cube`
21×	`distribute-lft-out`
18×	`cbrt-prod`
16×	`cbrt-undiv` `div-exp`
15×	`associate-/r*`
11×	`div-inv` `associate-/l*`
9×	`prod-exp` `cbrt-unprod`
4×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`frac-add`

Counts

4 → 151

Calls

4 calls:

46.0ms	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
20.0ms	(/ (* y z) t)
35.0ms	(/ (* y b) (* (cbrt t) (cbrt t)))
208.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))
39.0ms	(/ (* y z) t)
231.0ms	(/ (* y b) (* (cbrt t) (cbrt t)))
268.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ (* y b) (* (cbrt t) (cbrt t))) (cbrt t))))

simplify2.7s

Counts

163 → 163

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	275	3454
1	724	2980
2	4045	2522
done	5002	2496

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.5b

regimes1.4s

Accuracy

27.8% (4.3b remaining)

Error of 15.6b against oracle of 11.3b and baseline of 17.2b

bsearch158.0ms

Steps

Iters	Range		Point
6	5.683291820676679e+45	4.5338556926180916e+46	5.791147776019076e+45
6	-4.764088735123307e+24	-3.15560902584584e+23	-1.0464315589700422e+24

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	36	65
1	50	63
done	50	63

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

8299×

body

valid