Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

323×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	261	8
5	921	8
6	4701	8
done	5000	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
2.7b	(* (fma z (- y 1.0) 1.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma z (- y 1.0) 1.0)
7.0ms	(* (fma z (- y 1.0) 1.0) x)

series118.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma z (- y 1.0) 1.0)
77.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (572.0ms)

Iter	Nodes	Cost
0	52	382
1	108	372
2	320	314
3	2899	310
done	5002	310

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

31.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series660.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
155.0ms	(cbrt (fma z (- y 1.0) 1.0))
165.0ms	(cbrt (fma z (- y 1.0) 1.0))
127.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify910.0ms

Counts

93 → 93

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	120	1730
1	309	1578
2	1067	1444
done	5000	1240

prune565.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.5b	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)
36.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt x)
328.0ms	(cbrt x)
288.0ms	(cbrt x)
195.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

simplify986.0ms

Counts

72 → 72

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	79	647
1	197	620
2	807	493
done	5000	462

prune334.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (fma z (- y 1.0) 1.0) x))
2.7b	(* (fma z (- y 1.0) 1.0) x)
2.7b	(* (fma z (- y 1.0) 1.0) x)
2.7b	(* (fma z (- y 1.0) 1.0) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
7.0ms	(* (fma z (- y 1.0) 1.0) x)
7.0ms	(* (fma z (- y 1.0) 1.0) x)
15.0ms	(* (fma z (- y 1.0) 1.0) x)

series401.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
83.0ms	(* (fma z (- y 1.0) 1.0) x)
67.0ms	(* (fma z (- y 1.0) 1.0) x)
63.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify3.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (870.0ms)

Iter	Nodes	Cost
0	104	1098
1	252	1066
2	801	912
3	4786	870
done	5000	870

prune373.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 2.7b

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 3.6b against oracle of 3.4b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample920.0ms

Algorithm

intervals

Results

515.0ms

10020×

body

valid