Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify661.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	59	11
4	94	11
5	120	11
6	146	11
7	165	11
8	187	11
9	232	11
10	324	11
11	481	11
12	509	11
13	528	11
14	530	11
done	530	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
7.6b	(/ (* (- y z) t) (- a z))

rewrite30.0ms

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:

10.0ms	(+ x (/ (* (- y z) t) (- a z)))
9.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series169.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* (- y z) t) (- a z)))
30.0ms	(* (- y z) t)
65.0ms	(/ (* (- y z) t) (- a z))

simplify585.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	124	812
1	326	763
2	1203	685
done	5001	685

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
11.0b	(* (- y z) (/ t (- a z)))

rewrite36.0ms

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:

5.0ms	(/ t (- a z))
3.0ms	(+ x (* (- y z) (/ t (- a z))))
22.0ms	(* (- y z) (/ t (- a z)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- a z))
75.0ms	(+ x (* (- y z) (/ t (- a z))))
63.0ms	(* (- y z) (/ t (- a z)))

simplify594.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	154	1213
1	366	1138
2	1300	1060
done	5002	1060

prune252.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
0.0b	(* (- y z) t)
0.5b	(/ 1 (/ (- a z) (* (- y z) t)))
7.4b	(/ (- a z) (* (- y z) t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

23.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
10.0ms	(* (- y z) t)
14.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
10.0ms	(/ (- a z) (* (- y z) t))

series434.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ x (/ 1 (/ (- a z) (* (- y z) t))))
31.0ms	(* (- y z) t)
154.0ms	(/ 1 (/ (- a z) (* (- y z) t)))
82.0ms	(/ (- a z) (* (- y z) t))

simplify690.0ms

Counts

149 → 149

Iterations

Useful iterations: done (686.0ms)

Iter	Nodes	Cost
0	214	2183
1	528	1958
2	1659	1708
done	5000	1700

prune293.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ t (/ (- a z) (- y z))) x)
0.0b	(/ (- a z) (- y z))
3.0b	(/ t (/ (- a z) (- y z)))

rewrite114.0ms

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:

76.0ms	(+ (/ t (/ (- a z) (- y z))) x)
10.0ms	(/ (- a z) (- y z))
14.0ms	(/ t (/ (- a z) (- y z)))

series407.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(+ (/ t (/ (- a z) (- y z))) x)
50.0ms	(/ (- a z) (- y z))
146.0ms	(/ t (/ (- a z) (- y z)))

simplify776.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	292	3733
1	698	3492
2	2355	3386
done	5000	3386

prune522.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes210.0ms

Accuracy

71.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	57
1	26	47
done	26	47

end0.0ms

sample539.0ms

Algorithm

intervals

Results

280.0ms

8764×

body

valid