Details

sample97.0ms

Algorithm

intervals

Results

25.0ms	26×	body	1280	valid
24.0ms	182×	body	80	valid
18.0ms	31×	body	640	valid
5.0ms	11×	body	320	valid
2.0ms	6×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	245
13	245
12	243
11	223
10	184
9	133
8	108
7	87
6	63
5	53
4	51
3	39
2	28
1	14
0	8

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

121.0ms	(- (+ x (cos y)) (* z (sin y)))
82.0ms	(* z (sin y))

series472.0ms

Counts

2 → 6

Calls

2 calls:

180.0ms	(- (+ x (cos y)) (* z (sin y)))
288.0ms	(* z (sin y))

simplify7.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	2925
2	519
1	188
0	82

prune563.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite48.0ms

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:

32.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
9.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series929.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
209.0ms	(cbrt (sin y))
194.0ms	(cbrt (sin y))
271.0ms	(cbrt (sin y))

simplify6.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	1412
2	468
1	180
0	79

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize328.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite64.0ms

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:

30.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
9.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
10.0ms	(cbrt (sin y))

series1.6s

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
409.0ms	(cbrt (sin y))
468.0ms	(cbrt (sin y))
454.0ms	(cbrt (sin y))

simplify9.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	1412
2	468
1	180
0	79

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize264.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
16.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
7.0ms	(cbrt (cbrt (sin y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (sin y))
171.0ms	(cbrt (sin y))
701.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
355.0ms	(cbrt (cbrt (sin y)))

simplify7.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5044
4	2951
3	1003
2	388
1	175
0	85

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.2s	5643×	body	80	valid
2.1s	976×	body	1280	valid
1.2s	785×	body	640	valid
269.0ms	388×	body	320	valid
101.0ms	208×	body	160	valid