Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

379×

body

valid

simplify17.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	8
3	76	8
4	208	8
5	519	8
6	1002	8
7	1878	8
8	3155	8
9	4038	8
10	4430	8
11	4930	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

0.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify804.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (123.0ms)

Iter	Nodes	Cost
0	25	146
1	49	143
2	113	125
3	277	124
4	1224	123
done	5002	123

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
0.6b	(cbrt (fma (- y z) (- t x) x))
0.6b	(cbrt (fma (- y z) (- t x) x))
0.6b	(cbrt (fma (- y z) (- t x) x))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
0.0ms	(cbrt (fma (- y z) (- t x) x))
1.0ms	(cbrt (fma (- y z) (- t x) x))
1.0ms	(cbrt (fma (- y z) (- t x) x))

series1.7s

Counts

4 → 12

Calls

4 calls:

815.0ms	(* (cbrt (fma (- y z) (- t x) x)) (cbrt (fma (- y z) (- t x) x)))
301.0ms	(cbrt (fma (- y z) (- t x) x))
297.0ms	(cbrt (fma (- y z) (- t x) x))
302.0ms	(cbrt (fma (- y z) (- t x) x))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	97	1722
1	221	1594
2	566	1432
3	1564	1239
4	4575	1212
done	5000	1212

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y z) (- t x) x))
0.6b	(cbrt (fma (- y z) (- t x) x))
0.6b	(cbrt (fma (- y z) (- t x) x))
0.9b	(pow (cbrt (cbrt (fma (- y z) (- t x) x))) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (- y z) (- t x) x))
0.0ms	(cbrt (fma (- y z) (- t x) x))
1.0ms	(cbrt (fma (- y z) (- t x) x))
5.0ms	(pow (cbrt (cbrt (fma (- y z) (- t x) x))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt (fma (- y z) (- t x) x))
307.0ms	(cbrt (fma (- y z) (- t x) x))
304.0ms	(cbrt (fma (- y z) (- t x) x))
502.0ms	(pow (cbrt (cbrt (fma (- y z) (- t x) x))) 4)

simplify2.6s

Counts

77 → 77

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	106	1217
1	247	1168
2	549	1046
3	1416	1023
4	4686	963
done	5000	963

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- y z) (- t x) x)
0.0b	(sqrt (fma (- y z) (- t x) x))
0.0b	(sqrt (fma (- y z) (- t x) x))
0.2b	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

rewrite11.0ms

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))
7.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (- y z) (- t x) x)
158.0ms	(sqrt (fma (- y z) (- t x) x))
156.0ms	(sqrt (fma (- y z) (- t x) x))
44.0ms	(* (sqrt (fma (- y z) (- t x) x)) (sqrt (fma (- y z) (- t x) x)))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	97	1878
1	208	1307
2	577	1175
3	2106	1116
done	5000	1110

prune216.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes157.0ms

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

sample804.0ms

Algorithm

intervals

Results

511.0ms

12258×

body

valid