Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

357×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (4.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7
3	13	6
4	14	6
done	14	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) y x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ y z) y x)

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	19	110
1	29	107
2	71	95
3	195	95
4	693	95
5	3689	95
done	5001	95

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (fma (/ y z) y x))

rewrite9.0ms

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:

5.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series428.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
106.0ms	(cbrt (fma (/ y z) y x))
106.0ms	(cbrt (fma (/ y z) y x))
107.0ms	(cbrt (fma (/ y z) y x))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (325.0ms)

Iter	Nodes	Cost
0	85	1375
1	159	1275
2	571	1169
3	2086	1013
done	5001	1013

prune255.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (fma (/ y z) y x))
101.0ms	(cbrt (cbrt (fma (/ y z) y x)))
97.0ms	(cbrt (cbrt (fma (/ y z) y x)))
95.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify1.6s

Counts

73 → 73

Iterations

Useful iterations: 4 (317.0ms)

Iter	Nodes	Cost
0	61	935
1	104	919
2	215	854
3	707	828
4	2619	792
done	5001	792

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (cbrt (fma (/ y z) y x)))
94.0ms	(cbrt (cbrt (fma (/ y z) y x)))
94.0ms	(cbrt (cbrt (fma (/ y z) y x)))
94.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify825.0ms

Counts

76 → 76

Iterations

Useful iterations: done (822.0ms)

Iter	Nodes	Cost
0	50	1008
1	82	992
2	162	924
3	479	900
4	1683	864
done	5001	856

prune277.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample455.0ms

Algorithm

intervals

Results

231.0ms

10706×

body

valid