Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

276×

body

valid

simplify776.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite89.0ms

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:

6.0ms	(+ x (* y (/ (- z t) (- a t))))
25.0ms	(/ (- z t) (- a t))
53.0ms	(* y (/ (- z t) (- a t)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (* y (/ (- z t) (- a t))))
61.0ms	(/ (- z t) (- a t))
78.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune409.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- a t))) 1))
0.0b	(/ y (- a t))
12.4b	(* (- z t) (/ y (- a t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

8.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
16.0ms	(/ y (- a t))
53.0ms	(* (- z t) (/ y (- a t)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
38.0ms	(/ y (- a t))
85.0ms	(* (- z t) (/ y (- a t)))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	157	1262
1	366	1141
2	1358	1063
done	5000	1063

prune357.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 (- a t))))
0.0b	(/ 1 (- a t))
12.2b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `un-div-inv` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

21.0ms	(* y (- z t))
7.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
14.0ms	(/ 1 (- a t))
91.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (- z t))
116.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
50.0ms	(/ 1 (- a t))
80.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify991.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (253.0ms)

Iter	Nodes	Cost
0	185	1645
1	470	1351
2	1527	1203
done	5000	1203

prune673.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (pow (* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t)))) 1))
0.1b	(/ y (sqrt (- a t)))
0.2b	(/ (- z t) (sqrt (- a t)))
3.6b	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-sqr-sqrt`
148×	`*-un-lft-identity`
140×	`times-frac`
96×	`sqrt-prod`
76×	`add-cube-cbrt`
46×	`associate-l`
35×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
9×	`unswap-sqr`
8×	`sqrt-div` `associate-/r/` `associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
5×	`flip3--` `flip--`
4×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 236

Calls

4 calls:

15.0ms	(+ x (pow (* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t)))) 1))
24.0ms	(/ y (sqrt (- a t)))
47.0ms	(/ (- z t) (sqrt (- a t)))
102.0ms	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ x (pow (* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t)))) 1))
100.0ms	(/ y (sqrt (- a t)))
111.0ms	(/ (- z t) (sqrt (- a t)))
136.0ms	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

simplify1.5s

Counts

248 → 248

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	312	4303
1	838	3951
2	2436	3529
done	5001	3521

prune796.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes262.0ms

Accuracy

74.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch95.0ms

Steps

Iters	Range		Point
8	7.53926619058398e-57	3.377665568612396e-52	3.2057391781882634e-56
8	-6.778815163455355e-35	-5.900459728831861e-38	-4.637379201468954e-36

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	31	33
done	31	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

536.0ms	8723×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid