Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

406×

body

valid

simplify16.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	8
3	86	8
4	286	8
5	671	8
6	1270	8
7	2430	8
8	3189	8
9	4565	8
10	4932	8
done	5000	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- y z) (- t x) 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) (- t x) x)

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(fma (- y z) (- t x) x)

simplify972.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (316.0ms)

Iter	Nodes	Cost
0	25	146
1	49	143
2	114	125
3	339	124
4	1523	123
done	5000	123

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- y z) (- t x) x)
0.1b	(sqrt (fma (- y z) (- t x) x))
0.1b	(sqrt (fma (- y z) (- t x) x))
0.3b	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (- y z) (- t x) x)
1.0ms	(sqrt (fma (- y z) (- t x) x))
1.0ms	(sqrt (fma (- y z) (- t x) x))
21.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (- y z) (- t x) x)
278.0ms	(sqrt (fma (- y z) (- t x) x))
191.0ms	(sqrt (fma (- y z) (- t x) x))
49.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

simplify1.8s

Counts

103 → 103

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	97	1878
1	208	1305
2	563	1175
3	1868	1116
done	5002	1078

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- y z) (- t x) x)
0.1b	(pow (fma (- y z) (- t x) x) 3)
40.5b	(cbrt (pow (fma (- y z) (- t x) x) 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma (- y z) (- t x) x)
4.0ms	(pow (fma (- y z) (- t x) x) 3)
3.0ms	(cbrt (pow (fma (- y z) (- t x) x) 3))

series972.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(fma (- y z) (- t x) x)
844.0ms	(pow (fma (- y z) (- t x) x) 3)
62.0ms	(cbrt (pow (fma (- y z) (- t x) x) 3))

simplify3.0s

Counts

67 → 67

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	83	1067
1	185	888
2	573	789
3	3569	769
done	5000	767

prune209.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (fma (- t x) (- y z) x) 2)
0.3b	(* (cbrt (pow (fma (- t x) (- y z) x) 2)) (cbrt (fma (- y z) (- t x) x)))
0.6b	(cbrt (fma (- y z) (- t x) x))
30.9b	(cbrt (pow (fma (- t x) (- y z) x) 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r`
5×	`unpow2` `sqr-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

3.0ms	(pow (fma (- t x) (- y z) x) 2)
38.0ms	(* (cbrt (pow (fma (- t x) (- y z) x) 2)) (cbrt (fma (- y z) (- t x) x)))
1.0ms	(cbrt (fma (- y z) (- t x) x))
3.0ms	(cbrt (pow (fma (- t x) (- y z) x) 2))

series4.0s

Counts

4 → 12

Calls

4 calls:

307.0ms	(pow (fma (- t x) (- y z) x) 2)
2.1s	(* (cbrt (pow (fma (- t x) (- y z) x) 2)) (cbrt (fma (- y z) (- t x) x)))
456.0ms	(cbrt (fma (- y z) (- t x) x))
1.1s	(cbrt (pow (fma (- t x) (- y z) x) 2))

simplify2.1s

Counts

104 → 104

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	170	2161
1	394	2053
2	990	1846
3	2872	1796
done	5000	1726

prune471.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

958.0ms

12169×

body

valid