Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

279×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	148	11
6	259	11
7	430	11
8	804	11
9	1875	11
10	4961	11
done	5001	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

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-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:

38.0ms	(+ x (/ (* (- y z) t) (- a z)))
40.0ms	(* (- y z) t)
46.0ms	(/ (* (- y z) t) (- a z))

series274.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (/ (* (- y z) t) (- a z)))
47.0ms	(* (- y z) t)
105.0ms	(/ (* (- y z) t) (- a z))

simplify1.3s

Counts

72 → 72

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	124	812
1	334	763
2	1672	691
done	5000	685

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
13.4b	(* (- y z) (/ t (- a z)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-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-+`

Counts

3 → 94

Calls

3 calls:

7.0ms	(+ x (* (- y z) (/ t (- a z))))
11.0ms	(/ t (- a z))
70.0ms	(* (- y z) (/ t (- a z)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (* (- y z) (/ t (- a z))))
44.0ms	(/ t (- a z))
100.0ms	(* (- y z) (/ t (- a z)))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	154	1213
1	389	1144
2	1952	1060
done	5000	1060

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
13.4b	(* (- y z) (* t (/ 1 (- a z))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

8.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
12.0ms	(/ 1 (- a z))
32.0ms	(* t (/ 1 (- a z)))
59.0ms	(* (- y z) (* t (/ 1 (- a z))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
51.0ms	(/ 1 (- a z))
41.0ms	(* t (/ 1 (- a z)))
77.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify1.0s

Counts

140 → 140

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	180	1624
1	470	1425
2	1932	1158
done	5001	1154

prune362.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
14.0b	(/ (- y z) (/ (- a z) t))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-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` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

16.0ms	(/ (- a z) t)
87.0ms	(+ x (/ (- y z) (/ (- a z) t)))
29.0ms	(/ (- y z) (/ (- a z) t))

series371.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- a z) t)
150.0ms	(+ x (/ (- y z) (/ (- a z) t)))
183.0ms	(/ (- y z) (/ (- a z) t))

simplify1.8s

Counts

197 → 197

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	273	3386
1	862	3203
2	4139	3065
done	5002	3059

prune688.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

492.0ms	8742×	body	80	valid
0.0ms	1×	body	160	valid