Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

307×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3328
7	2269
6	1169
5	453
4	195
3	92
2	34
1	14
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize21.0ms

Local error

Found 1 expressions with local error:

3.8b	(* x (fma z (- y 1.0) 1.0))

rewrite12.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

12.0ms

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

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify1.4s

Counts

26 → 26

Iterations

Iter	Nodes
done	5062
3	1207
2	305
1	111
0	49

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (fma z (- y 1.0) 1.0)))
3.8b	(* x (fma z (- y 1.0) 1.0))
3.8b	(* x (fma z (- y 1.0) 1.0))
3.8b	(* x (fma z (- y 1.0) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
6×	`fma-udef`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
9.0ms	(* x (fma z (- y 1.0) 1.0))
5.0ms	(* x (fma z (- y 1.0) 1.0))
5.0ms	(* x (fma z (- y 1.0) 1.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
64.0ms	(* x (fma z (- y 1.0) 1.0))
61.0ms	(* x (fma z (- y 1.0) 1.0))
64.0ms	(* x (fma z (- y 1.0) 1.0))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5029
3	2591
2	747
1	272
0	110

prune445.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.8b

localize48.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
2.2b	(* (cbrt x) (fma z (- y 1.0) 1.0))
3.8b	(* x (fma z (- y 1.0) 1.0))
3.8b	(* x (fma z (- y 1.0) 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`associate-r` `fma-udef`
7×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-prod` `expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

27.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
6.0ms	(* (cbrt x) (fma z (- y 1.0) 1.0))
17.0ms	(* x (fma z (- y 1.0) 1.0))
10.0ms	(* x (fma z (- y 1.0) 1.0))

series374.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
159.0ms	(* (cbrt x) (fma z (- y 1.0) 1.0))
66.0ms	(* x (fma z (- y 1.0) 1.0))
61.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1307
1	369
0	133

prune644.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
2.2b	(* (cbrt x) (fma z (- y 1.0) 1.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-l`
6×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
33.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
10.0ms	(* (cbrt x) (fma z (- y 1.0) 1.0))

series759.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt x)
270.0ms	(cbrt x)
89.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma z (- y 1.0) 1.0)))
143.0ms	(* (cbrt x) (fma z (- y 1.0) 1.0))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1093
1	320
0	120

prune371.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

96% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch26.0ms

Steps

Iters	Range		Point
5	2484744.5477507794	8139961.834908854	7564588.652142659
0	-1.3178926426525978e-05	-1.2709467131366986e-05	-1.2944196778946482e-05

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

781.0ms

9975×

body

valid