Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

364×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	45	9
4	84	9
5	112	9
6	130	9
7	147	9
8	188	9
9	245	9
10	274	9
11	307	9
12	343	9
13	368	9
14	384	9
15	471	9
16	562	9
17	811	9
18	1138	9
19	1573	9
20	1655	9
21	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.4b	(/ (* y (- z x)) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

20.0ms	(* y (- z x))
9.0ms	(+ x (/ (* y (- z x)) t))
15.0ms	(/ (* y (- z x)) t)

series134.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* y (- z x))
39.0ms	(+ x (/ (* y (- z x)) t))
53.0ms	(/ (* y (- z x)) t)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 2 (315.0ms)

Iter	Nodes	Cost
0	113	722
1	290	679
2	893	589
3	4319	589
done	5000	589

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.6b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
61.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
185.0ms	(cbrt t)
183.0ms	(cbrt t)
98.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify947.0ms

Counts

116 → 116

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	161	1577
1	459	1499
2	1984	1153
done	5000	1056

prune272.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.9b	(/ 1 (/ t (* y (- z x))))
7.1b	(/ t (* y (- z x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

20.0ms	(* y (- z x))
22.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
25.0ms	(/ 1 (/ t (* y (- z x))))
12.0ms	(/ t (* y (- z x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (- z x))
41.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
54.0ms	(/ 1 (/ t (* y (- z x))))
43.0ms	(/ t (* y (- z x)))

simplify856.0ms

Counts

138 → 138

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	195	1749
1	437	1558
2	1165	1320
done	5001	1286

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ 1 (/ (- z x) (/ t y)))))
0.2b	(/ 1 (/ (- z x) (/ t y)))
0.9b	(/ 1 (/ 1 (/ (- z x) (/ t y))))
5.4b	(/ (- z x) (/ t y))

rewrite505.0ms

Algorithm

rewrite-expression-head

Rules

3574×	`times-frac`
1862×	`*-un-lft-identity`
1859×	`add-sqr-sqrt`
1415×	`add-cube-cbrt`
298×	`associate-/r*`
222×	`distribute-lft-out--` `difference-of-squares`
110×	`div-inv`
106×	`add-exp-log`
83×	`div-exp`
32×	`add-cbrt-cube`
23×	`associate-/r/`
22×	`rec-exp` `1-exp`
19×	`cbrt-undiv`
11×	`associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `div-sub` `sum-log` `flip--` `flip-+` `remove-double-div`

Counts

4 → 1335

Calls

4 calls:

235.0ms	(+ x (/ 1 (/ 1 (/ (- z x) (/ t y)))))
29.0ms	(/ 1 (/ (- z x) (/ t y)))
71.0ms	(/ 1 (/ 1 (/ (- z x) (/ t y))))
23.0ms	(/ (- z x) (/ t y))

series230.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ 1 (/ 1 (/ (- z x) (/ t y)))))
94.0ms	(/ 1 (/ (- z x) (/ t y)))
52.0ms	(/ 1 (/ 1 (/ (- z x) (/ t y))))
45.0ms	(/ (- z x) (/ t y))

simplify3.5s

Counts

1347 → 1347

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	1588	32886
1	3670	20915
done	5000	20048

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	15	9
done	15	9

end0.0ms

sample609.0ms

Algorithm

intervals

Results

246.0ms

10704×

body

valid