Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify79.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ 1.0 x) y)
7.9b	(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
56×	`associate-/l*`
22×	`div-inv`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 266

Calls

2 calls:

17.0ms	(/ (/ 1.0 x) y)
19.0ms	(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series112.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (/ 1.0 x) y)
79.0ms	(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify558.0ms

Counts

272 → 272

Iterations

Iter	Nodes
done	5000
1	1189
0	471

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.1b	(/ (/ (cbrt 1.0) x) (* (sqrt (fma z z 1.0)) (cbrt y)))
15.7b	(sqrt (fma z z 1.0))
15.7b	(sqrt (fma z z 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
22×	`associate-/l*`
21×	`cbrt-prod`
16×	`add-exp-log`
12×	`add-cbrt-cube`
6×	`pow1` `cbrt-undiv` `div-exp` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `associate-/l/`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt y)
14.0ms	(/ (/ (cbrt 1.0) x) (* (sqrt (fma z z 1.0)) (cbrt y)))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series775.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt y)
346.0ms	(/ (/ (cbrt 1.0) x) (* (sqrt (fma z z 1.0)) (cbrt y)))
71.0ms	(sqrt (fma z z 1.0))
68.0ms	(sqrt (fma z z 1.0))

simplify653.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1965
1	546
0	228

prune939.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.8b	(/ (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)) (cbrt y)) (* (sqrt (fma z z 1.0)) (cbrt y)))
15.7b	(sqrt (fma z z 1.0))
15.7b	(sqrt (fma z z 1.0))

rewrite850.0ms

Algorithm

rewrite-expression-head

Rules

9868×	`times-frac`
4203×	`cbrt-prod`
3759×	`add-sqr-sqrt`
3757×	`*-un-lft-identity` `add-cube-cbrt`
1468×	`associate-/l*`
1302×	`sqrt-prod`
87×	`div-inv`
36×	`add-exp-log`
20×	`cbrt-undiv` `add-cbrt-cube` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `associate-/l/`

Counts

4 → 3009

Calls

4 calls:

1.0ms	(cbrt x)
432.0ms	(/ (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)) (cbrt y)) (* (sqrt (fma z z 1.0)) (cbrt y)))
2.0ms	(sqrt (fma z z 1.0))
2.0ms	(sqrt (fma z z 1.0))

series643.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt x)
262.0ms	(/ (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)) (cbrt y)) (* (sqrt (fma z z 1.0)) (cbrt y)))
80.0ms	(sqrt (fma z z 1.0))
87.0ms	(sqrt (fma z z 1.0))

simplify2.5s

Counts

3021 → 3021

Iterations

Iter	Nodes
done	5000
0	3928

prune25.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize39.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ (sqrt 1.0) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
2.3b	(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
15.7b	(sqrt (fma z z 1.0))
15.7b	(sqrt (fma z z 1.0))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

2649×	`times-frac`
1365×	`add-sqr-sqrt`
1166×	`*-un-lft-identity` `add-cube-cbrt`
939×	`sqrt-prod`
412×	`associate-r`
136×	`associate-/l*`
52×	`div-inv`
45×	`add-cbrt-cube` `add-exp-log`
40×	`associate-l` `unswap-sqr`
22×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 1118

Calls

4 calls:

284.0ms	(* (/ (sqrt 1.0) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
62.0ms	(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
2.0ms	(sqrt (fma z z 1.0))
2.0ms	(sqrt (fma z z 1.0))

series452.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (/ (sqrt 1.0) (sqrt (fma z z 1.0))) (/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y))
106.0ms	(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) y)
59.0ms	(sqrt (fma z z 1.0))
53.0ms	(sqrt (fma z z 1.0))

simplify2.3s

Counts

1130 → 1130

Iterations

Iter	Nodes
done	5002
1	4316
0	1228

prune5.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes320.0ms

Accuracy

65% (1.3b remaining)

Error of 3.4b against oracle of 2.2b and baseline of 5.8b

bsearch102.0ms

Steps

Iters	Range		Point
8	7.016861377876008e+137	2.113720909745566e+141	1.8575608413028536e+140
9	-9.318145970385676e+145	-5.292329277729359e+138	-5.900492572730371e+144

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample755.0ms

Algorithm

intervals

Results

525.0ms

8599×

body

valid