Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

339×

body

valid

simplify648.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	85	9
5	114	9
6	129	9
7	142	9
8	175	9
9	232	9
10	261	9
11	298	9
12	329	9
13	339	9
done	339	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
7.6b	(/ (* y (- z t)) a)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

40.0ms	(* y (- z t))
14.0ms	(+ x (/ (* y (- z t)) a))
28.0ms	(/ (* y (- z t)) a)

series197.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* y (- z t))
93.0ms	(+ x (/ (* y (- z t)) a))
65.0ms	(/ (* y (- z t)) a)

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	116	722
1	297	679
2	910	589
3	4416	589
done	5000	589

prune226.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
7.6b	(* (* y (- z t)) (/ 1 a))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

36.0ms	(* y (- z t))
13.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
54.0ms	(* (* y (- z t)) (/ 1 a))

series223.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* y (- z t))
83.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
85.0ms	(* (* y (- z t)) (/ 1 a))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: 2 (614.0ms)

Iter	Nodes	Cost
0	154	1062
1	400	877
2	1300	741
done	5000	741

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 a))
0.7b	(cbrt (/ 1 a))
1.3b	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
6.5b	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-div`
43×	`associate-*r/`
39×	`cbrt-prod`
38×	`frac-times`
34×	`pow1` `add-exp-log`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
17×	`associate-r`
12×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 140

Calls

4 calls:

3.0ms	(cbrt (/ 1 a))
2.0ms	(cbrt (/ 1 a))
283.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
81.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

series841.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (/ 1 a))
253.0ms	(cbrt (/ 1 a))
99.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))
235.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a))))

simplify1.3s

Counts

152 → 152

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	208	2815
1	552	2564
2	1765	1819
done	5001	1705

prune461.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 a))
0.7b	(cbrt (/ 1 a))
1.3b	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a)))) (cbrt (/ 1 a)))
6.5b	(* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a))))

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
57×	`prod-exp`
52×	`associate-*r/`
47×	`frac-times`
39×	`cbrt-prod`
35×	`cbrt-div` `add-cbrt-cube`
34×	`pow1`
33×	`cbrt-unprod`
29×	`associate-*l/`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
17×	`associate-r`
15×	`flip3--` `flip--`
9×	`un-div-inv`
8×	`div-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 165

Calls

4 calls:

3.0ms	(cbrt (/ 1 a))
3.0ms	(cbrt (/ 1 a))
362.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a)))) (cbrt (/ 1 a)))
105.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a))))

series687.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (/ 1 a))
206.0ms	(cbrt (/ 1 a))
104.0ms	(* (* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a)))) (cbrt (/ 1 a)))
131.0ms	(* (* y (- z t)) (* (cbrt (/ 1 a)) (/ 1 (cbrt a))))

simplify1.6s

Counts

177 → 177

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	249	3408
1	632	2878
2	2235	2364
done	5000	2269

prune497.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes639.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	45
1	29	37
done	29	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

487.0ms

10736×

body

valid