Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify166.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	144
6	144
5	142
4	102
3	67
2	40
1	21
0	9

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 2 expressions with local error:

3.1b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.8b	(* y (+ 1.0 (* z z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `unswap-sqr` `associate-/l/`

Counts

2 → 74

Calls

2 calls:

25.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
25.0ms	(* y (+ 1.0 (* z z)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
93.0ms	(* y (+ 1.0 (* z z)))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2235
1	446
0	160

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1.0 (* x (* (fma z z 1.0) y)))
2.9b	(* x (* (fma z z 1.0) y))
3.8b	(* (fma z z 1.0) y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow1`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `times-frac` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

13.0ms	(/ 1.0 (* x (* (fma z z 1.0) y)))
20.0ms	(* x (* (fma z z 1.0) y))
11.0ms	(* (fma z z 1.0) y)

series192.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ 1.0 (* x (* (fma z z 1.0) y)))
59.0ms	(* x (* (fma z z 1.0) y))
53.0ms	(* (fma z z 1.0) y)

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1483
1	279
0	116

prune344.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* x z) z (* x 1.0))
0.3b	(/ 1.0 (* y (fma (* x z) z (* x 1.0))))
3.6b	(* y (fma (* x z) z (* x 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `times-frac` `associate-r` `associate-l` `fma-udef` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (* x z) z (* x 1.0))
6.0ms	(/ 1.0 (* y (fma (* x z) z (* x 1.0))))
11.0ms	(* y (fma (* x z) z (* x 1.0)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma (* x z) z (* x 1.0))
77.0ms	(/ 1.0 (* y (fma (* x z) z (* x 1.0))))
121.0ms	(* y (fma (* x z) z (* x 1.0)))

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1108
1	214
0	94

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* x z) z (* x 1.0))
3.7b	(/ (/ 1.0 y) (fma (* x z) z (* x 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `fma-udef` `associate-/l/`

Counts

2 → 82

Calls

2 calls:

0.0ms	(fma (* x z) z (* x 1.0))
11.0ms	(/ (/ 1.0 y) (fma (* x z) z (* x 1.0)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma (* x z) z (* x 1.0))
85.0ms	(/ (/ 1.0 y) (fma (* x z) z (* x 1.0)))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1623
1	396
0	173

prune372.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.2b

regimes376.0ms

Accuracy

-11.9% (3.1b remaining)

Error of 3.9b against oracle of 0.8b and baseline of 3.5b

bsearch104.0ms

Steps

Iters	Range		Point
10	1.748216843554884e-276	4.2309919062731585e-260	5.552809287377705e-266
8	-8.148623819397657e-278	-1.4014040808979715e-280	-3.3073706555899975e-279

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample849.0ms

Algorithm

intervals

Results

433.0ms

8573×

body

valid