Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

328×

body

valid

simplify10.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	108	8
5	157	8
6	194	8
7	237	8
8	296	8
9	383	8
10	478	8
11	537	8
12	596	8
13	641	8
14	679	8
15	808	8
16	946	8
17	1261	8
18	1750	8
19	2362	8
20	2536	8
21	2543	8
done	2543	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize15.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (/ z t) x)

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(fma (- y x) (/ z t) x)

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	86	138
3	255	123
4	1131	123
done	5002	123

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
4.2b	(/ (- y x) (/ t z))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

112.0ms	(+ (/ (- y x) (/ t z)) x)
55.0ms	(/ (- y x) (/ t z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (/ (- y x) (/ t z)) x)
84.0ms	(/ (- y x) (/ t z))

simplify2.2s

Counts

194 → 194

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	221	1932
1	602	1810
2	1870	1704
done	5001	1696

prune818.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (/ (/ t z) (- y x))) x)
0.4b	(/ 1 (/ (/ t z) (- y x)))
4.2b	(/ (/ t z) (- y x))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

1315×	`times-frac`
759×	`*-un-lft-identity`
756×	`add-sqr-sqrt`
546×	`add-cube-cbrt`
218×	`fma-def`
105×	`distribute-lft-out--` `difference-of-squares`
76×	`associate-/r*`
52×	`div-inv`
29×	`add-exp-log`
18×	`div-exp` `associate-/r/`
17×	`add-cbrt-cube`
16×	`associate-/l*`
9×	`cbrt-undiv`
8×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 649

Calls

3 calls:

236.0ms	(+ (/ 1 (/ (/ t z) (- y x))) x)
47.0ms	(/ 1 (/ (/ t z) (- y x)))
25.0ms	(/ (/ t z) (- y x))

series188.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (/ 1 (/ (/ t z) (- y x))) x)
67.0ms	(/ 1 (/ (/ t z) (- y x)))
72.0ms	(/ (/ t z) (- y x))

simplify2.5s

Counts

658 → 658

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	581	8603
1	1366	7467
2	3017	6539
done	5002	6419

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
4.3b	(* (/ (/ t (cbrt (- y x))) (cbrt (- y x))) (/ (/ 1 z) (cbrt (- y x))))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

748×	`times-frac`
635×	`add-sqr-sqrt`
425×	`*-un-lft-identity`
406×	`cbrt-prod`
271×	`add-cube-cbrt`
246×	`associate-l`
110×	`associate-r`
70×	`distribute-lft-out--` `difference-of-squares`
64×	`add-exp-log`
49×	`unswap-sqr`
33×	`div-exp`
26×	`cbrt-div`
25×	`add-cbrt-cube`
20×	`associate-/r/`
18×	`cbrt-undiv` `div-inv`
15×	`prod-exp`
13×	`flip3--` `flip--`
9×	`cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow1/3` `1-exp`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 494

Calls

4 calls:

8.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))
7.0ms	(cbrt (- y x))
576.0ms	(* (/ (/ t (cbrt (- y x))) (cbrt (- y x))) (/ (/ 1 z) (cbrt (- y x))))

series894.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (- y x))
263.0ms	(cbrt (- y x))
241.0ms	(cbrt (- y x))
123.0ms	(* (/ (/ t (cbrt (- y x))) (cbrt (- y x))) (/ (/ 1 z) (cbrt (- y x))))

simplify1.8s

Counts

506 → 506

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	620	12083
1	1996	11470
done	5001	10823

prune2.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes138.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

600.0ms

10578×

body

valid