Details

sample95.0ms

Algorithm

intervals

Results

33.0ms	37×	body	1280	valid
20.0ms	176×	body	80	valid
14.0ms	24×	body	640	valid
4.0ms	9×	body	320	valid
3.0ms	10×	body	160	valid

simplify3.0s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(- (+ x (cos y)) (* z (sin y)))
59.0ms	(* z (sin y))

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	4732
2	618
1	184
0	81

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

123.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
17.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
15.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
15.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
206.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
217.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
255.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1415
1	345
0	139

prune857.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

28.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
27.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
27.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
27.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
287.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
255.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
248.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4218
2	725
1	200
0	77

prune698.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.4b	(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

21.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
15.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
16.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
22.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
308.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
276.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
227.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify2.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4218
2	725
1	200
0	77

prune602.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes454.0ms

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

sample2.6s

Algorithm

intervals

Results

763.0ms	872×	body	640	valid
663.0ms	970×	body	1280	valid
639.0ms	5516×	body	80	valid
152.0ms	427×	body	320	valid
76.0ms	214×	body	160	valid
1.0ms	1×	body	2560	valid