Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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	193	8
8	250	8
9	329	8
10	464	8
11	627	8
12	772	8
13	1085	8
14	1472	8
15	2043	8
16	3025	8
done	5000	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)

rewrite15.0ms

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)

series62.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- y x) t)
35.0ms	(fma (/ (- y x) t) z x)

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: 4 (849.0ms)

Iter	Nodes	Cost
0	93	570
1	194	548
2	450	512
3	1338	497
4	4315	496
done	5001	496

prune139.0ms

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))

rewrite86.0ms

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:

62.0ms	(+ (/ (- y x) (/ t z)) x)
12.0ms	(/ (- y x) (/ t z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (/ (- y x) (/ t z)) x)
48.0ms	(/ (- y x) (/ t z))

simplify766.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (222.0ms)

Iter	Nodes	Cost
0	221	1932
1	615	1810
2	1864	1704
done	5001	1704

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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:

64.0ms	(+ (/ (- y x) (/ t z)) x)
13.0ms	(/ (- y x) (/ t z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (/ (- y x) (/ t z)) x)
44.0ms	(/ (- y x) (/ t z))

simplify766.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	221	1932
1	615	1810
2	1864	1704
done	5001	1704

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
97×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
81×	`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` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `flip3--` `associate-*l/` `associate-/r/` `flip--`
1×	`+-commutative` `pow-flip` `fma-def` `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 → 173

Calls

3 calls:

11.0ms	(+ (* (- y x) (/ 1 (/ t z))) x)
5.0ms	(/ 1 (/ t z))
30.0ms	(* (- y x) (/ 1 (/ t z)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* (- y x) (/ 1 (/ t z))) x)
8.0ms	(/ 1 (/ t z))
47.0ms	(* (- y x) (/ 1 (/ t z)))

simplify931.0ms

Counts

182 → 182

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	265	2318
1	664	1785
2	1830	1517
done	5000	1517

prune376.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

-36% (2.8b remaining)

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

bsearch40.0ms

Steps

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

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	15	23
1	18	21
done	18	21

end0.0ms

sample564.0ms

Algorithm

intervals

Results

298.0ms

10619×

body

valid