Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

262×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.2b	(/ (* y b) t)
6.4b	(/ (* y z) t)
10.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite138.0ms

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-cbrt-cube` `add-exp-log`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`clear-num` `sum-log` `frac-2neg` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

35.0ms	(+ (+ a 1.0) (/ (* y b) t))
8.0ms	(/ (* y b) t)
11.0ms	(/ (* y z) t)
78.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ a 1.0) (/ (* y b) t))
34.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
151.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5008
2	1867
1	490
0	187

prune810.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
6.2b	(/ (* y b) t)
10.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`times-frac`
32×	`add-exp-log` `add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
12×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg` `frac-add` `associate-/l/`
1×	`frac-times` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
36.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.0ms	(/ (* y b) t)
62.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt t)
61.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
25.0ms	(/ (* y b) t)
300.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	3195
1	786
0	263

prune968.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
2.6b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
65×	`times-frac`
48×	`add-exp-log`
44×	`associate-r`
43×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube`
25×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
14×	`associate-l`
12×	`unswap-sqr`
8×	`pow1` `associate-/r/`
6×	`frac-add`
5×	`flip3-+` `flip-+` `div-inv`
4×	`frac-times` `associate-l/` `associate-r/` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/3`

Counts

4 → 166

Calls

4 calls:

1.0ms	(cbrt t)
36.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
35.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
44.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt t)
69.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
58.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
376.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify2.2s

Counts

178 → 178

Iterations

Iter	Nodes
done	5011
2	4236
1	988
0	321

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.2b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
3.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-exp-log`
51×	`add-cbrt-cube`
47×	`add-sqr-sqrt`
43×	`times-frac`
40×	`prod-exp` `cbrt-unprod`
31×	`*-un-lft-identity` `add-cube-cbrt`
30×	`cbrt-undiv` `div-exp`
23×	`associate-r`
17×	`cbrt-prod` `associate-l`
16×	`frac-times` `associate-*r/` `associate-/r/`
14×	`frac-add`
11×	`pow1`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
6×	`unswap-sqr`
4×	`pow-prod-down` `div-inv` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/3`

Counts

4 → 173

Calls

4 calls:

1.0ms	(cbrt t)
57.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
36.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
44.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt t)
24.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
54.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
320.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

simplify3.0s

Counts

185 → 185

Iterations

Iter	Nodes
done	5001
2	4615
1	1109
0	373

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.0b

regimes1.5s

Accuracy

27.3% (2.6b remaining)

Error of 12.6b against oracle of 10.0b and baseline of 13.6b

bsearch182.0ms

Steps

Iters	Range		Point
9	0.00351971213897904	457080.382362169	126368.29615354215
9	-1.420566845900726e-44	-3.242664760362885e-50	-4.186697388398434e-48

simplify8.0ms

Iterations

Iter	Nodes
done	65
1	65
0	46

end0.0ms

sample1.1s

Algorithm

intervals

Results

717.0ms

8279×

body

valid