Details

sample90.0ms

Algorithm

intervals

Results

31.0ms	46×	body	1280	valid
19.0ms	45×	body	640	valid
15.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	243
1	12	218
2	15	218
done	15	218

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (sin y) (* z (cos y)))
14.0ms	(* z (cos y))

series191.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(fma x (sin y) (* z (cos y)))
69.0ms	(* z (cos y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (328.0ms)

Iter	Nodes	Cost
0	49	6878
1	90	6717
2	259	6652
3	1008	6612
4	3470	6612
done	5000	6612

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite22.0ms

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:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series734.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
180.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	68	24811
1	152	20960
2	640	20634
done	5000	19829

prune668.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

49.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
16.0ms	(* (cos y) (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
123.0ms	(cbrt (cos y))
32.0ms	(* (cos y) (cos y))
253.0ms	(cbrt (* (cos y) (cos y)))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	118	23666
1	302	20176
2	2021	19940
done	5000	19425

prune652.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cbrt (* (cos y) (cos y)))))
0.3b	(cbrt (cos y))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(expm1 (log1p (cbrt (* (cos y) (cos y)))))
1.0ms	(cbrt (cos y))
8.0ms	(* (cos y) (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))

series845.0ms

Counts

4 → 12

Calls

4 calls:

419.0ms	(expm1 (log1p (cbrt (* (cos y) (cos y)))))
112.0ms	(cbrt (cos y))
21.0ms	(* (cos y) (cos y))
293.0ms	(cbrt (* (cos y) (cos y)))

simplify1.6s

Counts

77 → 77

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	95	19886
1	211	14627
2	1264	14248
done	5002	13728

prune565.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	218
1	8	218
done	8	218

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1291×	body	640	valid
1.1s	1527×	body	1280	valid
644.0ms	4239×	body	80	valid
311.0ms	622×	body	320	valid
111.0ms	321×	body	160	valid