Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

353×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	45
2	23
1	10
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (fma x (- y) 1.0) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
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:

9.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify1.9s

Counts

23 → 23

Iterations

Iter	Nodes
done	5002
3	3195
2	328
1	80
0	40

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma x (- y) 1.0))
0.0b	(sqrt (fma (- y) x 1.0))
0.1b	(* (sqrt (fma (- y) x 1.0)) x)
0.1b	(* (sqrt (fma x (- y) 1.0)) (* (sqrt (fma (- y) x 1.0)) x))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(sqrt (fma x (- y) 1.0))
1.0ms	(sqrt (fma (- y) x 1.0))
11.0ms	(* (sqrt (fma (- y) x 1.0)) x)
387.0ms	(* (sqrt (fma x (- y) 1.0)) (* (sqrt (fma (- y) x 1.0)) x))

series753.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (fma x (- y) 1.0))
150.0ms	(sqrt (fma (- y) x 1.0))
190.0ms	(* (sqrt (fma (- y) x 1.0)) x)
289.0ms	(* (sqrt (fma x (- y) 1.0)) (* (sqrt (fma (- y) x 1.0)) x))

simplify922.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1601
1	362
0	147

prune521.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0))))
0.1b	(* (* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0)))) (* (sqrt (fma (- y) x 1.0)) x))
0.2b	(cbrt (fma (- y) x 1.0))
0.2b	(cbrt (fma (- y) x 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

13.0ms	(* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0))))
46.0ms	(* (* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0)))) (* (sqrt (fma (- y) x 1.0)) x))
1.0ms	(cbrt (fma (- y) x 1.0))
1.0ms	(cbrt (fma (- y) x 1.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0))))
547.0ms	(* (* (fabs (cbrt (fma (- y) x 1.0))) (sqrt (cbrt (fma (- y) x 1.0)))) (* (sqrt (fma (- y) x 1.0)) x))
314.0ms	(cbrt (fma (- y) x 1.0))
341.0ms	(cbrt (fma (- y) x 1.0))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	3143
1	626
0	219

prune734.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma x (- y) 1.0))
0.2b	(cbrt (fma x (- y) 1.0))
0.2b	(cbrt (fma x (- y) 1.0))
0.2b	(cbrt (fma x (- y) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma x (- y) 1.0))
1.0ms	(cbrt (fma x (- y) 1.0))
1.0ms	(cbrt (fma x (- y) 1.0))
1.0ms	(cbrt (fma x (- y) 1.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

342.0ms	(cbrt (fma x (- y) 1.0))
391.0ms	(cbrt (fma x (- y) 1.0))
395.0ms	(cbrt (fma x (- y) 1.0))
373.0ms	(cbrt (fma x (- y) 1.0))

simplify1.8s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	3311
2	518
1	158
0	65

prune660.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample817.0ms

Algorithm

intervals

Results

367.0ms

10662×

body

valid