Details

sample76.0ms

Algorithm

intervals

Results

24.0ms	31×	body	1280	valid
15.0ms	171×	body	80	valid
11.0ms	27×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify2.4s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:

42.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series122.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ x (cos y)) (* z (sin y)))
32.0ms	(+ x (cos y))
40.0ms	(* z (sin y))

simplify592.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	719
1	228
0	95

prune312.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (cos y) x)
0.0ms	(fma (sin y) (- z) (+ (cos y) x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (cos y) x)
52.0ms	(fma (sin y) (- z) (+ (cos y) x))

simplify826.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
3	1226
2	332
1	115
0	51

prune246.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)

series816.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt z) (cbrt z))
188.0ms	(cbrt z)
191.0ms	(cbrt z)
224.0ms	(cbrt z)

simplify953.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune503.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.9b	(cbrt (* z (sin y)))
5.9b	(cbrt (* z (sin y)))
5.9b	(cbrt (* z (sin y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

16.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
127.0ms	(cbrt (* z (sin y)))
128.0ms	(cbrt (* z (sin y)))
140.0ms	(cbrt (* z (sin y)))

simplify531.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	819
1	218
0	91

prune498.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes286.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	1010×	body	1280	valid
673.0ms	5553×	body	80	valid
422.0ms	822×	body	640	valid
155.0ms	413×	body	320	valid
38.0ms	202×	body	160	valid