Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

261×

body

valid

simplify53.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.8b	(/ (* y b) t)
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

49.0ms	(+ (+ a 1.0) (/ (* y b) t))
16.0ms	(/ (* y b) t)
14.0ms	(/ (* y z) t)
111.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ a 1.0) (/ (* y b) t))
29.0ms	(/ (* y b) t)
25.0ms	(/ (* y z) t)
157.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.0s

Counts

118 → 118

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	187	1935
1	467	1857
2	1703	1721
done	5000	1713

prune383.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
4.8b	(* (* y b) (/ 1 t))
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

51.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
35.0ms	(* (* y b) (/ 1 t))
19.0ms	(/ (* y z) t)
98.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
25.0ms	(* (* y b) (/ 1 t))
20.0ms	(/ (* y z) t)
152.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	230	2186
1	591	1870
2	2112	1696
done	5001	1680

prune456.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ t (* y b)))
4.6b	(/ t (* y b))
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite204.0ms

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:

21.0ms	(/ 1 (/ t (* y b)))
12.0ms	(/ t (* y b))
16.0ms	(/ (* y z) t)
148.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (/ t (* y b)))
26.0ms	(/ t (* y b))
23.0ms	(/ (* y z) t)
128.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify1.0s

Counts

167 → 167

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	242	2680
1	583	2463
2	1853	2113
done	5001	2093

prune504.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (/ t y) b))
3.1b	(/ (/ t y) b)
5.4b	(/ (* y z) t)
12.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite315.0ms

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:

22.0ms	(/ 1 (/ (/ t y) b))
16.0ms	(/ (/ t y) b)
11.0ms	(/ (* y z) t)
242.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (/ (/ t y) b))
23.0ms	(/ (/ t y) b)
20.0ms	(/ (* y z) t)
120.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify1.8s

Counts

360 → 360

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	548	6253
1	1284	5498
2	3007	4720
done	5000	4660

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.0b

regimes623.0ms

Accuracy

52.1% (2.6b remaining)

Error of 12.9b against oracle of 10.3b and baseline of 15.7b

bsearch161.0ms

Steps

Iters	Range		Point
9	3.0277485137767368e+53	2.7765359240661285e+61	3.07869364387504e+59
7	-4.24910696022173e-16	-3.55692249719555e-18	-3.591884767125234e-16

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	67
1	47	67
done	47	67

end0.0ms

sample1.5s

Algorithm

intervals

Results

973.0ms

8284×

body

valid