Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify521.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	56	11
4	90	11
5	123	11
6	150	11
7	176	11
8	222	11
9	293	11
10	383	11
11	446	11
12	491	11
13	493	11
done	493	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.7b	(/ (* y (- z t)) (- a t))

rewrite31.0ms

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:

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

series184.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ (* y (- z t)) (- a t)))
36.0ms	(* y (- z t))
68.0ms	(/ (* y (- z t)) (- a t))

simplify590.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1223	715
done	5001	715

prune182.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.4b	(* 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))))
10.0ms	(/ (- z t) (- a t))
27.0ms	(* y (/ (- z t) (- a t)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (* y (/ (- z t) (- a t))))
49.0ms	(/ (- z t) (- a t))
69.0ms	(* y (/ (- z t) (- a t)))

simplify703.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	162	1555
1	422	1454
2	1343	1368
done	5000	1368

prune278.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
1.4b	(/ y (/ (- a t) (- z t)))

rewrite82.0ms

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:

46.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (/ y (/ (- a t) (- z t))))
53.0ms	(/ (- a t) (- z t))
155.0ms	(/ y (/ (- a t) (- z t)))

simplify973.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	292	3733
1	698	3484
2	2575	3378
done	5000	3378

prune515.0ms

Pruning

4 alts after pruning (2 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	(/ y (- a t))
12.1b	(* (/ y (- a t)) (- z t))

rewrite35.0ms

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))
23.0ms	(* (/ y (- a t)) (- z t))

series302.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (* (/ y (- a t)) (- z t)))
28.0ms	(/ y (- a t))
152.0ms	(* (/ y (- a t)) (- z t))

simplify565.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	166	1295
1	407	1238
2	1290	1158
done	5001	1158

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample519.0ms

Algorithm

intervals

Results

267.0ms	8727×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid