Details

sample55.0ms

Algorithm

intervals

Results

30.0ms

266×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	45
3	41
2	35
1	26
0	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize34.0ms

Local error

Found 3 expressions with local error:

6.0b	(/ (* y z) t)
6.5b	(/ (* y b) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

10.0ms	(/ (* y z) t)
7.0ms	(/ (* y b) t)
70.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (* y z) t)
22.0ms	(/ (* y b) t)
149.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
2	1690
1	454
0	171

prune638.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize37.0ms

Local error

Found 3 expressions with local error:

6.0b	(* (* y z) (/ 1 t))
6.5b	(/ (* y b) t)
11.9b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

35.0ms	(* (* y z) (/ 1 t))
11.0ms	(/ (* y b) t)
75.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (* y z) (/ 1 t))
33.0ms	(/ (* y b) t)
160.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5012
2	2060
1	578
0	207

prune721.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
6.0b	(/ (* y z) t)
6.5b	(/ (* y b) t)
11.6b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`add-cbrt-cube`
11×	`associate-/r*`
8×	`div-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `flip3-+` `prod-exp` `flip-+`
5×	`associate-/l*`
4×	`associate-l` `frac-add` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

65.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
15.0ms	(/ (* y z) t)
7.0ms	(/ (* y b) t)
152.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
24.0ms	(/ (* y z) t)
25.0ms	(/ (* y b) t)
149.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify1.6s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
2	2264
1	610
0	217

prune937.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.8b

localize53.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
4.2b	(/ (* y z) (* (cbrt t) (cbrt t)))
6.5b	(/ (* y b) t)
11.9b	(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
52×	`*-un-lft-identity`
47×	`add-cbrt-cube`
42×	`add-sqr-sqrt` `times-frac`
41×	`prod-exp`
33×	`div-exp`
30×	`add-cube-cbrt`
23×	`cbrt-unprod`
22×	`associate-r`
20×	`cbrt-undiv`
12×	`distribute-lft-out`
11×	`cbrt-prod`
9×	`associate-/r*`
6×	`pow1`
5×	`rec-exp` `1-exp` `associate-l` `div-inv` `associate-/l*` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

4 → 158

Calls

4 calls:

43.0ms	(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
16.0ms	(/ (* y z) (* (cbrt t) (cbrt t)))
12.0ms	(/ (* y b) t)
82.0ms	(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))
190.0ms	(/ (* y z) (* (cbrt t) (cbrt t)))
31.0ms	(/ (* y b) t)
193.0ms	(/ (+ x (* (/ (* y z) (* (cbrt t) (cbrt t))) (/ 1 (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.9s

Counts

170 → 170

Iterations

Iter	Nodes
done	5007
2	3292
1	865
0	300

prune1.0s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 10.8b

regimes1.1s

Accuracy

-4.9% (5.9b remaining)

Error of 16.6b against oracle of 10.7b and baseline of 16.3b

bsearch148.0ms

Steps

Iters	Range		Point
5	2.279518599661615e+146	5.534630275748827e+146	3.794251549758276e+146
9	-5.0205776732902773e+219	-1.5109772754044242e+213	-1.6830815576465838e+215

simplify10.0ms

Iterations

Iter	Nodes
done	44
1	44
0	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

792.0ms

8282×

body

valid