Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify13.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	45	9
4	77	9
5	114	9
6	135	9
7	159	9
8	259	9
9	391	9
10	703	9
11	1160	9
12	1778	9
13	2428	9
14	3476	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
4.8b	(/ (* y (- z x)) t)

rewrite21.0ms

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:

4.0ms	(+ x (/ (* y (- z x)) t))
9.0ms	(* y (- z x))
6.0ms	(/ (* y (- z x)) t)

series116.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ (* y (- z x)) t))
34.0ms	(* y (- z x))
48.0ms	(/ (* y (- z x)) t)

simplify440.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	113	722
1	296	679
2	1123	589
done	5000	589

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
5.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite38.0ms

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:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
33.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
179.0ms	(cbrt t)
170.0ms	(cbrt t)
89.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify780.0ms

Counts

116 → 116

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	161	1577
1	487	1509
2	2361	1153
done	5000	1147

prune302.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
4.9b	(* (* y (- z x)) (/ 1 t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

2.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
9.0ms	(* y (- z x))
17.0ms	(* (* y (- z x)) (/ 1 t))

series124.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
34.0ms	(* y (- z x))
48.0ms	(* (* y (- z x)) (/ 1 t))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	151	1062
1	425	895
2	1799	741
done	5001	741

prune159.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
6.3b	(/ (- z x) (/ t y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

28.0ms	(+ x (/ (- z x) (/ t y)))
10.0ms	(/ (- z x) (/ t y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (- z x) (/ t y)))
41.0ms	(/ (- z x) (/ t y))

simplify661.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	217	1896
1	605	1758
2	2169	1680
done	5000	1680

prune257.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

11% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch76.0ms

Steps

Iters	Range		Point
9	2.0850358371983218e-61	1.7579436072384286e-54	1.1571448244703465e-56
9	-1.893433644712027e+47	-7.345391420963156e+39	-1.28204979550362e+41

simplify6.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	22	37
1	29	37
done	29	37

end0.0ms

sample526.0ms

Algorithm

intervals

Results

264.0ms

10679×

body

valid