Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

280×

body

valid

simplify486.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	33	11
3	53	11
4	85	11
5	115	11
6	143	11
7	161	11
8	186	11
9	220	11
10	286	11
11	375	11
12	421	11
13	499	11
14	521	11
done	521	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
24.0ms	(* y (/ (- z t) (- a t)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- a t))))
48.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	422	1454
2	1123	1368
3	3611	1368
done	5000	1366

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
2.2b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-r`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(/ z (- a t))
48.0ms	(- (/ z (- a t)) (/ t (- a t)))
7.0ms	(/ t (- a t))
148.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ z (- a t))
62.0ms	(- (/ z (- a t)) (/ t (- a t)))
44.0ms	(/ t (- a t))
72.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify1.2s

Counts

156 → 156

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	1863
1	434	1769
2	923	1669
3	2127	1669
done	5001	1663

prune384.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.6b	(* (cbrt (- a t)) (cbrt (- a t)))
2.2b	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
42×	`cbrt-prod`
24×	`associate-r`
21×	`times-frac`
16×	`add-cube-cbrt` `cbrt-div` `difference-of-squares`
13×	`pow1`
12×	`distribute-lft-out--`
11×	`associate-l`
10×	`swap-sqr`
9×	`flip3--` `flip--`
8×	`add-exp-log` `pow1/3`
6×	`add-cbrt-cube`
5×	`associate-*r/` `unswap-sqr`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus` `frac-sub`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
28.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
501.0ms	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- a t))
143.0ms	(cbrt (- a t))
122.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
76.0ms	(* y (- (/ z (- a t)) (/ (/ t (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

simplify2.0s

Counts

136 → 136

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	215	2255
1	482	2143
2	1199	1673
3	4571	1590
done	5001	1590

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
9.5b	(* (/ y (- a t)) (- z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

3.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
25.0ms	(* (/ y (- a t)) (- z t))

series283.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ x (* (/ y (- a t)) (- z t)))
28.0ms	(/ y (- a t))
143.0ms	(* (/ y (- a t)) (- z t))

simplify1.9s

Counts

111 → 111

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	166	1295
1	407	1238
2	1321	1158
3	4920	1158
done	5000	1158

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	26
1	16	26
done	16	26

end0.0ms

sample517.0ms

Algorithm

intervals

Results

261.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid