Details

sample60.0ms

Algorithm

intervals

Results

26.0ms

268×

body

valid

simplify103.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	51
3	45
2	35
1	26
0	15

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize111.0ms

Local error

Found 3 expressions with local error:

2.0b	(fma (/ y t) z x)
2.7b	(fma b (/ y t) a)
10.9b	(/ (fma (/ y t) z x) (+ 1.0 (fma b (/ y t) a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(fma (/ y t) z x)
1.0ms	(fma b (/ y t) a)
27.0ms	(/ (fma (/ y t) z x) (+ 1.0 (fma b (/ y t) a)))

series1.5s

Counts

3 → 9

Calls

3 calls:

80.0ms	(fma (/ y t) z x)
185.0ms	(fma b (/ y t) a)
1.2s	(/ (fma (/ y t) z x) (+ 1.0 (fma b (/ y t) a)))

simplify6.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5035
3	2046
2	531
1	170
0	90

prune845.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ 1.0 (fma b (/ y t) a)))
2.0b	(fma (/ y t) z x)
2.7b	(fma b (/ y t) a)
10.9b	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma b (/ y t) a))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 102

Calls

4 calls:

26.0ms	(/ 1 (+ 1.0 (fma b (/ y t) a)))
1.0ms	(fma (/ y t) z x)
1.0ms	(fma b (/ y t) a)
100.0ms	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma b (/ y t) a))))

series1.4s

Counts

4 → 12

Calls

4 calls:

387.0ms	(/ 1 (+ 1.0 (fma b (/ y t) a)))
75.0ms	(fma (/ y t) z x)
63.0ms	(fma b (/ y t) a)
843.0ms	(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma b (/ y t) a))))

simplify8.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	2991
2	898
1	284
0	129

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x)))
2.0b	(fma (/ y t) z x)
2.7b	(fma b (/ y t) a)
11.0b	(/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`add-exp-log`
16×	`distribute-lft-out`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 145

Calls

4 calls:

36.0ms	(/ 1 (/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x)))
1.0ms	(fma (/ y t) z x)
1.0ms	(fma b (/ y t) a)
47.0ms	(/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x))

series1.1s

Counts

4 → 12

Calls

4 calls:

542.0ms	(/ 1 (/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x)))
259.0ms	(fma (/ y t) z x)
73.0ms	(fma b (/ y t) a)
211.0ms	(/ (+ 1.0 (fma b (/ y t) a)) (fma (/ y t) z x))

simplify6.2s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1300
1	443
0	187

prune3.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 10.9b

localize174.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (fma (/ y t) z x))
2.0b	(fma (/ y t) z x)
2.7b	(fma b (/ y t) a)
10.6b	(/ (/ 1 (+ 1.0 (fma b (/ y t) a))) (/ 1 (fma (/ y t) z x)))

rewrite567.0ms

Algorithm

rewrite-expression-head

Rules

582×	`times-frac`
341×	`*-un-lft-identity`
257×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`add-exp-log`
42×	`distribute-lft-out`
35×	`div-inv`
34×	`div-exp`
29×	`associate-/r/`
21×	`associate-/l*`
18×	`add-cbrt-cube`
16×	`associate-/r*`
14×	`flip3-+` `flip-+`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 352

Calls

4 calls:

24.0ms	(/ 1 (fma (/ y t) z x))
1.0ms	(fma (/ y t) z x)
1.0ms	(fma b (/ y t) a)
150.0ms	(/ (/ 1 (+ 1.0 (fma b (/ y t) a))) (/ 1 (fma (/ y t) z x)))

series1.6s

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1 (fma (/ y t) z x))
169.0ms	(fma (/ y t) z x)
83.0ms	(fma b (/ y t) a)
1.2s	(/ (/ 1 (+ 1.0 (fma b (/ y t) a))) (/ 1 (fma (/ y t) z x)))

simplify10.7s

Counts

364 → 364

Iterations

Iter	Nodes
done	5000
2	3265
1	1431
0	477

prune3.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.9b

regimes2.6s

Accuracy

48.9% (1.6b remaining)

Error of 13.1b against oracle of 11.6b and baseline of 14.6b

bsearch184.0ms

Steps

Iters	Range		Point
10	382435420.934374	3.627753304627799e+20	1092165316512745.5
5	-1.1922668653464876e+79	-5.7806320483797786e+78	-6.084229636969371e+78

simplify11.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

8288×

body

valid