Details

sample172.0ms

Algorithm

intervals

Results

145.0ms

351×

body

valid

simplify16.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3437
7	2247
6	1204
5	462
4	195
3	92
2	34
1	14
0	8

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize48.0ms

Local error

Found 1 expressions with local error:

2.3b	(* (fma z (- y 1.0) 1.0) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

76.0ms

(* (fma z (- y 1.0) 1.0) x)

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

(* (fma z (- y 1.0) 1.0) x)

simplify6.6s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	1221
2	284
1	94
0	44

prune541.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize300.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

137.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
6.0ms	(cbrt (fma z (- y 1.0) 1.0))
10.0ms	(cbrt (fma z (- y 1.0) 1.0))

series2.0s

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
709.0ms	(cbrt (fma z (- y 1.0) 1.0))
583.0ms	(cbrt (fma z (- y 1.0) 1.0))
577.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify9.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5004
3	2291
2	777
1	263
0	103

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (fma z (- y 1.0) 1.0)) x) (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

84.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) x) (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) x) (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))))
397.0ms	(cbrt (fma z (- y 1.0) 1.0))
368.0ms	(cbrt (fma z (- y 1.0) 1.0))
520.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify6.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	2414
2	784
1	265
0	104

prune820.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.2b

localize245.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))
2.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (fma z (- y 1.0) 1.0))
337.0ms	(cbrt (fma z (- y 1.0) 1.0))
412.0ms	(cbrt (fma z (- y 1.0) 1.0))
230.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify8.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
4	3048
3	975
2	349
1	146
0	62

prune901.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.2b

regimes526.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10123×

body

valid