Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	235×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	12×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	14×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	51	13
3	101	13
4	191	13
5	343	13
6	506	13
7	659	13
8	791	13
9	1023	13
10	1400	13
11	2272	13
12	3303	13
13	4188	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.9b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.6b	(/ (* (- z t) y) (- a t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(* (- z t) y)
28.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.0ms	(/ (* (- z t) y) (- a t))

series207.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- z t) y)
112.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
64.0ms	(/ (* (- z t) y) (- a t))

simplify843.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	150	1010
1	383	951
2	1483	873
done	5001	873

prune217.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
1.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.1b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
50×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
30×	`add-cube-cbrt`
28×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
11×	`frac-times` `distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `unswap-sqr`
9×	`prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
7×	`cbrt-undiv` `pow1/3` `associate-r/` `div-exp` `associate-l/`
6×	`frac-sub`
3×	`flip3-+` `pow-prod-down` `flip-+`
2×	`diff-log` `pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `sub-neg` `pow-plus` `associate--l+` `sum-log`

Counts

4 → 168

Calls

4 calls:

2.0ms	(cbrt (- a t))
22.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
70.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
22.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series495.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- a t))
126.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
102.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
116.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify1.3s

Counts

180 → 180

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	326	3837
1	884	3584
2	3558	3004
done	5000	2988

prune598.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.6b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
10×	`frac-times` `associate-*l/`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
22.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series716.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
188.0ms	(cbrt y)
178.0ms	(cbrt y)
166.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify778.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	151	2256
1	420	2173
2	1687	1937
done	5000	1937

prune382.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (cbrt y) 3)
8.6b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (pow (cbrt y) 3)) (cbrt (cbrt (- a t))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`frac-times` `associate-*l/`
9×	`add-log-exp`
7×	`flip3-+` `flip-+`
6×	`unpow-prod-down` `cube-prod` `associate-*r/`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `pow1/3`
2×	`pow-pow` `diff-log`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `unpow3` `pow-exp` `associate--l+` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
2.0ms	(pow (cbrt y) 3)
24.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (pow (cbrt y) 3)) (cbrt (cbrt (- a t))))))

series737.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
178.0ms	(cbrt y)
216.0ms	(pow (cbrt y) 3)
167.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt (pow (cbrt y) 3)) (cbrt (cbrt (- a t))))))

simplify728.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	178	2531
1	499	2166
2	2117	1881
done	5000	1881

prune317.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.1b

regimes412.0ms

Accuracy

40.7% (4.5b remaining)

Error of 8.2b against oracle of 3.8b and baseline of 11.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	109
1	45	109
done	45	109

end0.0ms

sample678.0ms

Algorithm

intervals

Results

249.0ms	7365×	body	80	valid
57.0ms	460×	body	640	valid
43.0ms	287×	body	1280	valid
35.0ms	383×	body	320	valid
16.0ms	223×	body	160	valid
4.0ms	21×	body	2560	valid