Details

sample46.0ms

Algorithm

intervals

Results

15.0ms	229×	body	80	valid
3.0ms	15×	body	640	valid
2.0ms	15×	body	320	valid
2.0ms	7×	body	1280	valid
1.0ms	9×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3019
5	643
4	223
3	109
2	52
1	22
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
2.3b	(- (+ x y) (/ (* y (- z t)) (- a t)))
11.8b	(/ (* y (- z t)) (- a t))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `distribute-lft-out--`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

34.0ms	(* y (- z t))
50.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
37.0ms	(/ (* y (- z t)) (- a t))

series397.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* y (- z t))
225.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
127.0ms	(/ (* y (- z t)) (- a t))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1734
1	414
0	154

prune455.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.3b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.9b	(/ y (/ (- a t) (- z t)))
3.7b	(- y (/ y (/ (- a t) (- z t))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
91×	`add-cube-cbrt`
55×	`difference-of-squares`
53×	`distribute-lft-out--`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 210

Calls

3 calls:

21.0ms	(/ (- a t) (- z t))
39.0ms	(/ y (/ (- a t) (- z t)))
92.0ms	(- y (/ y (/ (- a t) (- z t))))

series480.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
218.0ms	(/ y (/ (- a t) (- z t)))
186.0ms	(- y (/ y (/ (- a t) (- z t))))

simplify1.4s

Counts

219 → 219

Iterations

Iter	Nodes
done	5000
2	4078
1	800
0	296

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(* (/ (cbrt y) (- a t)) (- z t))
16.4b	(- y (* (* (cbrt y) (cbrt y)) (* (/ (cbrt y) (- a t)) (- z t))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`associate-l`
32×	`times-frac`
25×	`add-cube-cbrt`
22×	`cbrt-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate--r+` `distribute-lft-out--`
7×	`sub-neg` `difference-of-squares`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`unswap-sqr`
2×	`frac-times` `pow1/3` `prod-exp` `associate-*r/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
40.0ms	(* (/ (cbrt y) (- a t)) (- z t))
8.0ms	(- y (* (* (cbrt y) (cbrt y)) (* (/ (cbrt y) (- a t)) (- z t))))

series1.6s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt y)
253.0ms	(cbrt y)
714.0ms	(* (/ (cbrt y) (- a t)) (- z t))
283.0ms	(- y (* (* (cbrt y) (cbrt y)) (* (/ (cbrt y) (- a t)) (- z t))))

simplify1.1s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2089
1	465
0	177

prune817.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.4b	(* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))
18.4b	(- y (* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
29×	`frac-times`
19×	`associate-*r/`
17×	`cbrt-undiv` `div-exp`
16×	`distribute-rgt-in` `pow1` `distribute-lft-in`
13×	`associate-*l/`
9×	`sub-neg` `flip3--` `flip--`
8×	`pow-prod-down` `associate--r+`
6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
2×	`pow1/3`
1×	`diff-log` `associate-r` `associate-l` `*-commutative`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
190.0ms	(* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))
13.0ms	(- y (* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t))))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt y)
252.0ms	(cbrt y)
221.0ms	(* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t)))
259.0ms	(- y (* (* (/ (cbrt y) (cbrt (- a t))) (/ (cbrt y) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- z t))))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
2	3147
1	670
0	190

prune515.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 3.3b

regimes673.0ms

Accuracy

13.4% (2.9b remaining)

Error of 6.7b against oracle of 3.8b and baseline of 7.1b

bsearch156.0ms

Steps

Iters	Range		Point
9	2.7892275357167452e-173	6.906315603593477e-164	2.1962908219567255e-167
9	-2.0474184741849522e-135	-3.8137249329845434e-141	-2.672792571764072e-138

simplify2.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.9s

Algorithm

intervals

Results

679.0ms	7366×	body	80	valid
493.0ms	255×	body	1280	valid
97.0ms	431×	body	640	valid
68.0ms	398×	body	320	valid
28.0ms	236×	body	160	valid
6.0ms	17×	body	2560	valid