Details

sample92.0ms

Algorithm

intervals

Results

49.0ms	396×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	112	21
3	379	21
4	2000	21
done	5000	21

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

43.0ms	(* (- y 1.0) z)
43.0ms	(* (- t 1.0) a)
189.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
157.0ms	(* (- (+ y t) 2.0) b)

series356.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- y 1.0) z)
47.0ms	(* (- t 1.0) a)
216.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
51.0ms	(* (- (+ y t) 2.0) b)

simplify2.7s

Counts

109 → 109

Iterations

Useful iterations: 2 (754.0ms)

Iter	Nodes	Cost
0	266	2710
1	898	2499
2	4767	2403
done	5000	2403

prune543.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

8.0ms	(cbrt (- y 1.0))
9.0ms	(cbrt (- y 1.0))
9.0ms	(cbrt (- y 1.0))
81.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (- y 1.0))
114.0ms	(cbrt (- y 1.0))
152.0ms	(cbrt (- y 1.0))
163.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	1563
1	397	1421
2	1466	1353
done	5001	1305

prune689.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* (cbrt b) (cbrt b))
2.0ms	(cbrt b)
2.0ms	(cbrt b)
2.0ms	(cbrt b)

series1.1s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt b) (cbrt b))
258.0ms	(cbrt b)
257.0ms	(cbrt b)
287.0ms	(cbrt b)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune389.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series1.1s

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt b)
340.0ms	(cbrt b)
257.0ms	(cbrt b)
251.0ms	(cbrt b)

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	24	260
1	45	244
2	116	220
3	342	208
4	935	208
5	3497	208
done	5001	208

prune422.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	32
1	27	32
done	27	32

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	12598×	body	80	valid
1.0ms	4×	body	160	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid