Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	284×	body	80	valid
0.0ms	1×	body	160	valid

simplify816.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	91	11
5	131	11
6	164	11
7	190	11
8	244	11
9	316	11
10	416	11
11	560	11
12	642	11
13	648	11
done	648	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

11.0ms	(+ x (/ (* y (- z t)) (- a t)))
10.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- a t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ (* y (- z t)) (- a t)))
35.0ms	(* y (- z t))
66.0ms	(/ (* y (- z t)) (- a t))

simplify462.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	128	846
1	340	793
2	1334	715
done	5000	715

prune171.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

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))))
11.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- a t))))
50.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify565.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	162	1555
1	424	1454
2	1533	1368
done	5000	1368

prune259.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
0.6b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

14.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
5.0ms	(/ z (- a t))
6.0ms	(/ t (- a t))
161.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
27.0ms	(/ z (- a t))
45.0ms	(/ t (- a t))
78.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify582.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	204	1699
1	471	1571
2	1617	1493
done	5000	1493

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
0.9b	(/ y (/ (- a t) (- z t)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

47.0ms	(+ x (/ y (/ (- a t) (- z t))))
11.0ms	(/ (- a t) (- z t))
15.0ms	(/ y (/ (- a t) (- z t)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ x (/ y (/ (- a t) (- z t))))
46.0ms	(/ (- a t) (- z t))
148.0ms	(/ y (/ (- a t) (- z t)))

simplify798.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	292	3733
1	701	3484
2	2926	3378
done	5000	3378

prune473.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample534.0ms

Algorithm

intervals

Results

270.0ms	8736×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid