Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

264×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	46	17
4	48	17
done	48	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.3b	(/ (* y b) t)
5.6b	(/ (* y z) t)
12.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite52.0ms

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:

4.0ms	(+ x (/ (* y z) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
35.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (/ (* y z) t))
19.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
97.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify812.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	179	1803
1	453	1721
2	1510	1613
done	5000	1613

prune313.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ t (* y b)))
3.2b	(/ t (* y b))
5.6b	(/ (* y z) t)
12.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y b)))
3.0ms	(/ t (* y b))
3.0ms	(/ (* y z) t)
52.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y b)))
25.0ms	(/ t (* y b))
17.0ms	(/ (* y z) t)
97.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify817.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (206.0ms)

Iter	Nodes	Cost
0	242	2680
1	596	2463
2	1826	2113
done	5000	2113

prune348.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (* y b))
3.1b	(/ (/ 1 t) (/ 1 (* y b)))
5.6b	(/ (* y z) t)
12.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ 1 t) (/ 1 (* y b)))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
140×	`*-un-lft-identity`
105×	`add-exp-log`
103×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`div-exp`
37×	`add-cbrt-cube`
26×	`div-inv`
21×	`distribute-lft-out` `associate-/l*`
18×	`cbrt-undiv`
17×	`rec-exp` `1-exp`
16×	`prod-exp` `associate-/r*`
7×	`pow1`
5×	`associate-/r/`
4×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`pow-flip` `frac-add`
1×	`pow-prod-down` `inv-pow`

Counts

4 → 253

Calls

4 calls:

4.0ms	(/ 1 (* y b))
13.0ms	(/ (/ 1 t) (/ 1 (* y b)))
3.0ms	(/ (* y z) t)
99.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ 1 t) (/ 1 (* y b)))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (* y b))
21.0ms	(/ (/ 1 t) (/ 1 (* y b)))
18.0ms	(/ (* y z) t)
96.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ 1 t) (/ 1 (* y b)))))

simplify1.2s

Counts

265 → 265

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	403	4691
1	1166	3764
2	2786	3176
done	5000	3170

prune414.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (/ t y) b))
4.5b	(/ (/ t y) b)
5.6b	(/ (* y z) t)
12.0b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

499×	`times-frac`
301×	`*-un-lft-identity`
245×	`add-sqr-sqrt` `add-cube-cbrt`
56×	`associate-/r*`
38×	`distribute-lft-out`
37×	`add-exp-log`
34×	`div-inv`
25×	`add-cbrt-cube`
21×	`div-exp` `associate-/l*`
12×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
2×	`frac-add`
1×	`pow-flip` `prod-exp` `cbrt-unprod` `inv-pow`

Counts

4 → 348

Calls

4 calls:

13.0ms	(/ 1 (/ (/ t y) b))
6.0ms	(/ (/ t y) b)
3.0ms	(/ (* y z) t)
133.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ (/ t y) b))
21.0ms	(/ (/ t y) b)
17.0ms	(/ (* y z) t)
97.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify1.3s

Counts

360 → 360

Iterations

Useful iterations: 2 (779.0ms)

Iter	Nodes	Cost
0	548	6253
1	1352	5498
2	3150	4720
done	5001	4720

prune753.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.7b

regimes312.0ms

Accuracy

58.4% (2.5b remaining)

Error of 12.8b against oracle of 10.3b and baseline of 16.4b

bsearch95.0ms

Steps

Iters	Range		Point
8	2.1630301823728784e+39	1.3789796957155067e+42	2.1879920080466582e+39
7	-4.099996582881451e+41	-1.8478925286023206e+39	-2.5546346162075872e+39

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	65
1	44	47
done	44	47

end0.0ms

sample632.0ms

Algorithm

intervals

Results

351.0ms

8300×

body

valid