Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify540.0ms

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: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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

series185.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- a t))))
47.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

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

prune252.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
8.7b	(* (- z t) (/ y (- a t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-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:

3.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
5.0ms	(/ y (- a t))
24.0ms	(* (- z t) (/ y (- a t)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
27.0ms	(/ y (- a t))
61.0ms	(* (- z t) (/ y (- a t)))

simplify858.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	158	1260
1	379	1149
2	1335	1071
done	5001	1071

prune311.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ (* (- z t) y) (- a t))))
0.0b	(* (- z t) y)
9.6b	(/ (* (- z t) y) (- a t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `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 → 63

Calls

3 calls:

2.0ms	(+ x (* 1 (/ (* (- z t) y) (- a t))))
9.0ms	(* (- z t) y)
12.0ms	(/ (* (- z t) y) (- a t))

series160.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* 1 (/ (* (- z t) y) (- a t))))
31.0ms	(* (- z t) y)
59.0ms	(/ (* (- z t) y) (- a t))

simplify936.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	128	848
1	340	763
2	1267	685
done	5001	685

prune167.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ (- z t) (/ (- a t) y))))
0.0b	(/ (- a t) y)
9.4b	(/ (- z t) (/ (- a t) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
172×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 187

Calls

3 calls:

2.0ms	(+ x (* 1 (/ (- z t) (/ (- a t) y))))
7.0ms	(/ (- a t) y)
14.0ms	(/ (- z t) (/ (- a t) y))

series201.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ x (* 1 (/ (- z t) (/ (- a t) y))))
26.0ms	(/ (- a t) y)
103.0ms	(/ (- z t) (/ (- a t) y))

simplify897.0ms

Counts

196 → 196

Iterations

Useful iterations: 2 (325.0ms)

Iter	Nodes	Cost
0	276	3413
1	789	3156
2	2407	3050
done	5001	3050

prune460.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes170.0ms

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	10	11
1	12	11
done	12	11

end0.0ms

sample544.0ms

Algorithm

intervals

Results

273.0ms	8738×	body	80	valid
0.0ms	1×	body	640	valid