Details

sample89.0ms

Algorithm

intervals

Results

25.0ms	29×	body	1280	valid
21.0ms	175×	body	80	valid
18.0ms	33×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	8×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2320
8	879
7	342
6	130
5	67
4	56
3	40
2	28
1	14
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (cos y))
0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u` `distribute-lft-out`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (cos y))
60.0ms	(- (+ x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))

series172.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (cos y))
78.0ms	(- (+ x (cos y)) (* z (sin y)))
58.0ms	(* z (sin y))

simplify617.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	727
1	228
0	95

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (cbrt z) (cbrt z))
298.0ms	(cbrt z)
286.0ms	(cbrt z)
315.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt z)
271.0ms	(cbrt z)
315.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify873.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	941
3	322
2	113
1	46
0	26

prune529.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (sin y) (- z) (+ x (cos y))))
0.0b	(fma (sin y) (- z) (+ x (cos y)))
0.0b	(fma (sin y) (- z) (+ x (cos y)))
0.2b	(* (sqrt (fma (sin y) (- z) (+ x (cos y)))) (sqrt (fma (sin y) (- z) (+ x (cos y)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (sin y) (- z) (+ x (cos y))))
0.0ms	(fma (sin y) (- z) (+ x (cos y)))
0.0ms	(fma (sin y) (- z) (+ x (cos y)))
13.0ms	(* (sqrt (fma (sin y) (- z) (+ x (cos y)))) (sqrt (fma (sin y) (- z) (+ x (cos y)))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (fma (sin y) (- z) (+ x (cos y))))
64.0ms	(fma (sin y) (- z) (+ x (cos y)))
67.0ms	(fma (sin y) (- z) (+ x (cos y)))
83.0ms	(* (sqrt (fma (sin y) (- z) (+ x (cos y)))) (sqrt (fma (sin y) (- z) (+ x (cos y)))))

simplify2.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	3977
2	631
1	198
0	91

prune566.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes355.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

750.0ms	5672×	body	80	valid
746.0ms	914×	body	1280	valid
627.0ms	387×	body	320	valid
501.0ms	843×	body	640	valid
118.0ms	184×	body	160	valid