Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

315×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	943
4	264
3	92
2	34
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
1.7b	(* x (fma z (- y 1.0) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma z (- y 1.0) 1.0)
10.0ms	(* x (fma z (- y 1.0) 1.0))

series112.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma z (- y 1.0) 1.0)
84.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.9s

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
3	2090
2	392
1	124
0	54

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* x (* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (cbrt (fma z (- y 1.0) 1.0))))
1.9b	(cbrt (fma z (- y 1.0) 1.0))
1.9b	(cbrt (fma z (- y 1.0) 1.0))
1.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

71.0ms	(* x (* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (cbrt (fma z (- y 1.0) 1.0))))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series442.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (cbrt (fma z (- y 1.0) 1.0))))
105.0ms	(cbrt (fma z (- y 1.0) 1.0))
135.0ms	(cbrt (fma z (- y 1.0) 1.0))
136.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4242
2	856
1	265
0	106

prune471.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

2.1b	(fma (* z x) (- y 1.0) (* 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	576
2	132
1	48
0	25

prune112.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (fma z (- y 1.0) 1.0))
1.9b	(cbrt (fma z (- y 1.0) 1.0))
1.9b	(cbrt (fma z (- y 1.0) 1.0))
1.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite5.0ms

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

series585.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (fma z (- y 1.0) 1.0))
152.0ms	(cbrt (fma z (- y 1.0) 1.0))
143.0ms	(cbrt (fma z (- y 1.0) 1.0))
147.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	1517
2	401
1	145
0	62

prune476.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

53.7% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.8b

bsearch44.0ms

Steps

Iters	Range		Point
7	-2.8023847633422396e+259	-1.2001615780846815e+257	-2.6614048411263133e+259

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample730.0ms

Algorithm

intervals

Results

404.0ms

10044×

body

valid