Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	50	8
4	87	8
5	129	8
6	165	8
7	180	8
8	208	8
9	258	8
10	376	8
11	551	8
12	611	8
13	668	8
14	768	8
15	1024	8
16	1339	8
17	1934	8
18	2468	8
19	2566	8
20	2572	8
done	2572	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
3.0b	(fma (/ (- y x) t) z x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

9.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- y x) t)
38.0ms	(fma (/ (- y x) t) z x)

simplify1.7s

Counts

56 → 56

Iterations

Useful iterations: 4 (620.0ms)

Iter	Nodes	Cost
0	93	570
1	194	548
2	433	512
3	1085	497
4	3089	496
done	5000	496

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
5.6b	(/ (- y x) (/ t z))

rewrite87.0ms

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:

61.0ms	(+ (/ (- y x) (/ t z)) x)
14.0ms	(/ (- y x) (/ t z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (/ (- y x) (/ t z)) x)
44.0ms	(/ (- y x) (/ t z))

simplify1.0s

Counts

194 → 194

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	221	1932
1	615	1810
2	1796	1704
done	5000	1704

prune513.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.6b	(/ (- y x) (/ t z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`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` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 121

Calls

2 calls:

31.0ms	(+ x (/ (- y x) (/ t z)))
12.0ms	(/ (- y x) (/ t z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ (- y x) (/ t z)))
44.0ms	(/ (- y x) (/ t z))

simplify804.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	221	1932
1	616	1804
2	1806	1697
done	5001	1697

prune317.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 (/ t z))))
0.5b	(/ 1 (/ t z))
5.2b	(* (- y x) (/ 1 (/ t z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
98×	`add-sqr-sqrt`
86×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`associate-r`
33×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`div-exp`
13×	`associate-/r*`
9×	`div-inv`
7×	`prod-exp`
6×	`pow1` `cbrt-undiv`
5×	`associate-l` `add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `fma-def` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `flip3--` `associate-*l/` `associate-/r/` `flip--`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 175

Calls

3 calls:

3.0ms	(+ x (* (- y x) (/ 1 (/ t z))))
5.0ms	(/ 1 (/ t z))
31.0ms	(* (- y x) (/ 1 (/ t z)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (* (- y x) (/ 1 (/ t z))))
12.0ms	(/ 1 (/ t z))
44.0ms	(* (- y x) (/ 1 (/ t z)))

simplify1.1s

Counts

184 → 184

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	265	2318
1	664	1779
2	1675	1511
done	5001	1511

prune360.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-36% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.1b

bsearch38.0ms

Steps

Iters	Range		Point
10	-7.45367067637971e-181	-3.7310302835557706e-191	-7.373144133272254e-181

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	14	21
done	14	21

end0.0ms

sample557.0ms

Algorithm

intervals

Results

283.0ms

10619×

body

valid