Details

sample77.0ms

Algorithm

intervals

Results

21.0ms	31×	body	1280	valid
16.0ms	171×	body	80	valid
11.0ms	27×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2191
8	773
7	280
6	110
5	51
4	42
3	36
2	28
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

36.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series222.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (+ x (cos y)) (* z (sin y)))
53.0ms	(+ x (cos y))
72.0ms	(* z (sin y))

simplify1.8s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	2864
2	626
1	198
0	82

prune294.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

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)

rewrite25.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (cbrt z) (cbrt z))
251.0ms	(cbrt z)
302.0ms	(cbrt z)
273.0ms	(cbrt z)

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune585.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite40.0ms

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×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 58

Calls

4 calls:

16.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series909.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
196.0ms	(cbrt (* z (sin y)))
228.0ms	(cbrt (* z (sin y)))
220.0ms	(cbrt (* z (sin y)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	860
1	213
0	87

prune612.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
5.9b	(cbrt (* z (sin y)))
5.9b	(cbrt (* z (sin y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series867.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt z)
150.0ms	(cbrt (sin y))
194.0ms	(cbrt (* z (sin y)))
256.0ms	(cbrt (* z (sin y)))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	1534
2	443
1	166
0	81

prune480.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes539.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s	5553×	body	80	valid
816.0ms	1010×	body	1280	valid
593.0ms	822×	body	640	valid
178.0ms	413×	body	320	valid
46.0ms	202×	body	160	valid