Details

sample252.0ms

Algorithm

intervals

Results

64.0ms	57×	body	640	valid
35.0ms	41×	body	1280	valid
17.0ms	131×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

1.0ms	(fma x (sin y) (* (cos y) z))
23.0ms	(* (cos y) z)

series626.0ms

Counts

2 → 6

Calls

2 calls:

188.0ms	(fma x (sin y) (* (cos y) z))
437.0ms	(* (cos y) z)

simplify12.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
4	3004
3	904
2	273
1	108
0	56

prune579.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite113.0ms

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:

90.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
5.0ms	(cbrt z)

series1.8s

Counts

4 → 12

Calls

4 calls:

438.0ms	(* (cbrt z) (cbrt z))
446.0ms	(cbrt z)
364.0ms	(cbrt z)
523.0ms	(cbrt z)

simplify9.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5005
4	4247
3	1097
2	382
1	141
0	65

prune956.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (sin y) (* (cos y) z))) (cbrt (fma x (sin y) (* (cos y) z))))
0.5b	(cbrt (fma x (sin y) (* (cos y) z)))
0.5b	(cbrt (fma x (sin y) (* (cos y) z)))
0.5b	(cbrt (fma x (sin y) (* (cos y) z)))

rewrite35.0ms

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:

24.0ms	(* (cbrt (fma x (sin y) (* (cos y) z))) (cbrt (fma x (sin y) (* (cos y) z))))
2.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
2.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
2.0ms	(cbrt (fma x (sin y) (* (cos y) z)))

series1.8s

Counts

4 → 12

Calls

4 calls:

544.0ms	(* (cbrt (fma x (sin y) (* (cos y) z))) (cbrt (fma x (sin y) (* (cos y) z))))
434.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
405.0ms	(cbrt (fma x (sin y) (* (cos y) z)))
417.0ms	(cbrt (fma x (sin y) (* (cos y) z)))

simplify3.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	2367
2	679
1	238
0	102

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize256.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

3.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (cbrt z))
4.0ms	(cbrt (cbrt z))

series2.4s

Counts

4 → 12

Calls

4 calls:

612.0ms	(cbrt (cbrt z))
593.0ms	(cbrt (cbrt z))
535.0ms	(cbrt (cbrt z))
624.0ms	(cbrt (cbrt z))

simplify5.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
5	1887
4	463
3	183
2	103
1	58
0	36

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes551.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.0s	1496×	body	1280	valid
1.3s	4329×	body	80	valid
1.2s	1263×	body	640	valid
363.0ms	604×	body	320	valid
333.0ms	308×	body	160	valid