Details

sample114.0ms

Algorithm

intervals

Results

46.0ms	34×	body	1280	valid
27.0ms	176×	body	80	valid
18.0ms	27×	body	640	valid
6.0ms	11×	body	320	valid
3.0ms	8×	body	160	valid

simplify224.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	346
12	346
11	334
10	305
9	285
8	237
7	155
6	94
5	67
4	56
3	40
2	28
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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` `insert-posit16` `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 → 64

Calls

3 calls:

38.0ms	(- (+ x (cos y)) (* z (sin y)))
5.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (+ x (cos y)) (* z (sin y)))
30.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify2.0s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3194
2	670
1	231
0	98

prune359.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite48.0ms

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` `insert-posit16` `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 → 70

Calls

4 calls:

28.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
144.0ms	(cbrt (* z (sin y)))
166.0ms	(cbrt (* z (sin y)))
175.0ms	(cbrt (* z (sin y)))

simplify2.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	4635
3	1723
2	587
1	217
0	93

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (/ (sin y) (/ -1 z)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
50×	`cbrt-prod`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `cbrt-div` `pow-plus` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

41.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (/ (sin y) (/ -1 z)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
168.0ms	(cbrt (/ (sin y) (/ -1 z)))
180.0ms	(cbrt (* z (sin y)))
174.0ms	(cbrt (* z (sin y)))

simplify2.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
3	4372
2	1508
1	566
0	285

prune887.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (/ (sin y) (/ -1 z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`cbrt-prod`
41×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-div` `associate-/r/`

Counts

4 → 96

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
7.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (/ (sin y) (/ -1 z)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt z)
152.0ms	(cbrt (sin y))
147.0ms	(cbrt (* z (sin y)))
146.0ms	(cbrt (/ (sin y) (/ -1 z)))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1411
1	527
0	279

prune936.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s	956×	body	1280	valid
1.0s	5634×	body	80	valid
606.0ms	793×	body	640	valid
182.0ms	394×	body	320	valid
67.0ms	223×	body	160	valid