Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

315×

body

valid

simplify3.0s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

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))

rewrite11.0ms

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)
9.0ms	(* x (fma z (- y 1.0) 1.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(fma z (- y 1.0) 1.0)
82.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5004
3	1412
2	327
1	123
0	54

prune202.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize23.0ms

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))

rewrite67.0ms

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:

63.0ms	(* 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))

series507.0ms

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))))
154.0ms	(cbrt (fma z (- y 1.0) 1.0))
157.0ms	(cbrt (fma z (- y 1.0) 1.0))
130.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5003
3	2372
2	751
1	264
0	106

prune507.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize100.0ms

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))

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 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))

series618.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (fma z (- y 1.0) 1.0))
151.0ms	(cbrt (fma z (- y 1.0) 1.0))
138.0ms	(cbrt (fma z (- y 1.0) 1.0))
162.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	3067
3	973
2	350
1	145
0	62

prune516.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(* (fma (- y 1.0) z 1.0) (cbrt x))
1.3b	(* (* (cbrt x) (cbrt x)) (* (fma (- y 1.0) z 1.0) (cbrt x)))

rewrite64.0ms

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-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(* (fma (- y 1.0) z 1.0) (cbrt x))
48.0ms	(* (* (cbrt x) (cbrt x)) (* (fma (- y 1.0) z 1.0) (cbrt x)))

series694.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt x)
206.0ms	(cbrt x)
135.0ms	(* (fma (- y 1.0) z 1.0) (cbrt x))
106.0ms	(* (* (cbrt x) (cbrt x)) (* (fma (- y 1.0) z 1.0) (cbrt x)))

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3762
2	900
1	268
0	106

prune462.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

56.1% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.8b

bsearch87.0ms

Steps

Iters	Range		Point
11	-1.2924180334316136e+281	-2.8023847633422396e+259	-1.77126585659422e+280

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample991.0ms

Algorithm

intervals

Results

446.0ms

10044×

body

valid