Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	48×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite5.0ms

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 x (cos y) (* z (sin y)))
4.0ms	(* z (sin y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma x (cos y) (* z (sin y)))
40.0ms	(* z (sin y))

simplify2.3s

Counts

36 → 36

Iterations

Useful iterations: 4 (241.0ms)

Iter	Nodes	Cost
0	49	269
1	81	264
2	214	236
3	467	236
4	987	232
5	3091	232
done	5000	232

prune106.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series734.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
176.0ms	(cbrt z)
178.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (340.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune304.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series413.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (364.0ms)

Iter	Nodes	Cost
0	79	750
1	162	664
2	477	564
3	2052	541
done	5000	541

prune485.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
102.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	79	750
1	162	664
2	477	564
3	2052	541
done	5000	541

prune315.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

627.0ms	1519×	body	1280	valid
302.0ms	1214×	body	640	valid
251.0ms	4352×	body	80	valid
110.0ms	596×	body	320	valid
43.0ms	319×	body	160	valid