Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify7.2s

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize6.0ms

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:

0.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify688.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (36.0ms)

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

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
7.5b	(/ (- y x) (/ t z))

rewrite110.0ms

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:

77.0ms	(+ (/ (- y x) (/ t z)) x)
21.0ms	(/ (- y x) (/ t z))

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (/ (- y x) (/ t z)) x)
51.0ms	(/ (- y x) (/ t z))

simplify1.1s

Counts

194 → 194

Iterations

Useful iterations: done (1.1s)

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

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (/ t z)) (- (/ x (/ t z)) x))
0.0b	(- (/ x (/ t z)) x)
4.4b	(/ y (/ t z))
5.5b	(/ x (/ t z))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

1278×	`times-frac`
1159×	`add-sqr-sqrt`
840×	`*-un-lft-identity`
745×	`add-cube-cbrt`
572×	`prod-diff`
138×	`difference-of-squares`
134×	`associate--r+`
88×	`fma-neg`
70×	`div-inv`
48×	`distribute-lft-out--`
26×	`associate-/r*`
17×	`associate-/r/`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--r-`

Counts

4 → 847

Calls

4 calls:

171.0ms	(- (/ y (/ t z)) (- (/ x (/ t z)) x))
56.0ms	(- (/ x (/ t z)) x)
8.0ms	(/ y (/ t z))
11.0ms	(/ x (/ t z))

series128.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (/ y (/ t z)) (- (/ x (/ t z)) x))
42.0ms	(- (/ x (/ t z)) x)
23.0ms	(/ y (/ t z))
25.0ms	(/ x (/ t z))

simplify2.0s

Counts

859 → 859

Iterations

Useful iterations: 2 (933.0ms)

Iter	Nodes	Cost
0	878	33337
1	1970	27081
2	4965	23949
done	5000	23949

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1 t) (* z y)) (- (/ x (/ t z)) x))
0.0b	(- (/ x (/ t z)) x)
5.5b	(/ x (/ t z))
6.6b	(* (/ 1 t) (* z y))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

552×	`times-frac`
405×	`add-sqr-sqrt`
391×	`*-un-lft-identity`
387×	`add-cube-cbrt`
271×	`prod-diff`
134×	`associate--r+`
45×	`fma-neg`
34×	`div-inv`
31×	`add-exp-log`
21×	`add-cbrt-cube`
13×	`associate-l` `associate-/r*`
12×	`prod-exp`
11×	`add-log-exp`
9×	`pow1`
8×	`associate-/r/`
7×	`div-exp`
6×	`cbrt-unprod` `difference-of-squares`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `pow-prod-down` `associate-l/` `flip--` `associate-/l`
2×	`rec-exp` `1-exp` `frac-sub` `distribute-lft-out--`
1×	`frac-2neg` `associate-r` `clear-num` `*-commutative` `associate--r-`

Counts

4 → 465

Calls

4 calls:

108.0ms	(- (* (/ 1 t) (* z y)) (- (/ x (/ t z)) x))
57.0ms	(- (/ x (/ t z)) x)
8.0ms	(/ x (/ t z))
25.0ms	(* (/ 1 t) (* z y))

series130.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* (/ 1 t) (* z y)) (- (/ x (/ t z)) x))
41.0ms	(- (/ x (/ t z)) x)
25.0ms	(/ x (/ t z))
26.0ms	(* (/ 1 t) (* z y))

simplify1.7s

Counts

477 → 477

Iterations

Useful iterations: 2 (903.0ms)

Iter	Nodes	Cost
0	584	11159
1	1547	8598
2	4040	7548
done	5000	7548

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample640.0ms

Algorithm

intervals

Results

267.0ms

10697×

body

valid