Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

7.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.5s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	1857
2	370
1	111
0	48

prune157.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* z (- y 1.0)) x) (* 1.0 x))
2.5b	(* (* z (- y 1.0)) x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-l/` `associate-r/` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--`

Counts

2 → 37

Calls

2 calls:

37.0ms	(+ (* (* z (- y 1.0)) x) (* 1.0 x))
33.0ms	(* (* z (- y 1.0)) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* (* z (- y 1.0)) x) (* 1.0 x))
60.0ms	(* (* z (- y 1.0)) x)

simplify1.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1172
1	251
0	85

prune238.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (* z (- y 1.0)) x (* 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:

0.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3546
3	464
2	124
1	50
0	25

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.3b	(* (* z (- y 1.0)) (* (cbrt x) (cbrt x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-l/` `associate-r/`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
63.0ms	(* (* z (- y 1.0)) (* (cbrt x) (cbrt x)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt x)
255.0ms	(cbrt x)
245.0ms	(cbrt x)
193.0ms	(* (* z (- y 1.0)) (* (cbrt x) (cbrt x)))

simplify985.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1165
1	257
0	94

prune390.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

81.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.3b

bsearch85.0ms

Steps

Iters	Range		Point
8	2.3858187560010408e-154	3.1547133078944663e-150	3.0893596455326344e-150
8	-3.954856488318112e+48	-5.4894835778287775e+45	-2.604483202204388e+48

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

426.0ms

10171×

body

valid