Details

sample88.0ms

Algorithm

intervals

Results

36.0ms	49×	body	1280	valid
17.0ms	41×	body	640	valid
11.0ms	134×	body	80	valid
7.0ms	23×	body	320	valid
1.0ms	9×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.2b	(* z (cos y))

rewrite11.0ms

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 (sin y) (* z (cos y)))
10.0ms	(* z (cos y))

series195.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma x (sin y) (* z (cos y)))
84.0ms	(* z (cos y))

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	50	271
1	91	266
2	240	235
3	893	233
4	2775	233
done	5000	233

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite17.0ms

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:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt z) (cbrt z))
369.0ms	(cbrt z)
298.0ms	(cbrt z)
320.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune394.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(fma x (sin y) (* (* z (sqrt (cos y))) (sqrt (cos y))))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))
0.1b	(* z (sqrt (cos y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (cos y))
1.0ms	(fma x (sin y) (* (* z (sqrt (cos y))) (sqrt (cos y))))
60.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))
21.0ms	(* z (sqrt (cos y)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (cos y))
128.0ms	(fma x (sin y) (* (* z (sqrt (cos y))) (sqrt (cos y))))
60.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))
79.0ms	(* z (sqrt (cos y)))

simplify980.0ms

Counts

84 → 84

Iterations

Useful iterations: done (977.0ms)

Iter	Nodes	Cost
0	92	786
1	199	574
2	971	530
done	5000	519

prune381.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (sqrt (cos y))) (expm1 (log1p (sqrt (cos y)))))
0.1b	(log1p (sqrt (cos y)))
0.1b	(* z (sqrt (cos y)))
0.1b	(expm1 (log1p (sqrt (cos y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 66

Calls

4 calls:

59.0ms	(* (* z (sqrt (cos y))) (expm1 (log1p (sqrt (cos y)))))
1.0ms	(log1p (sqrt (cos y)))
24.0ms	(* z (sqrt (cos y)))
1.0ms	(expm1 (log1p (sqrt (cos y))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (* z (sqrt (cos y))) (expm1 (log1p (sqrt (cos y)))))
136.0ms	(log1p (sqrt (cos y)))
106.0ms	(* z (sqrt (cos y)))
180.0ms	(expm1 (log1p (sqrt (cos y))))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	98	703
1	213	581
2	939	447
done	5001	431

prune260.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.1b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1520×	body	1280	valid
1.0s	4328×	body	80	valid
912.0ms	1253×	body	640	valid
223.0ms	595×	body	320	valid
70.0ms	304×	body	160	valid