Details

sample137.0ms

Algorithm

intervals

Results

56.0ms	45×	body	1280	valid
27.0ms	39×	body	640	valid
22.0ms	138×	body	80	valid
11.0ms	21×	body	320	valid
5.0ms	13×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	21
1	13
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 59

Calls

3 calls:

10.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
32.0ms	(* z (sin y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* x (cos y)) (* z (sin y)))
44.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1989
2	534
1	203
0	94

prune368.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-sub0` `+-commutative` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 61

Calls

3 calls:

24.0ms	(+ (* x (cos y)) (- (* z (sin y))))
13.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series240.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (* x (cos y)) (- (* z (sin y))))
71.0ms	(* x (cos y))
69.0ms	(* z (sin y))

simplify3.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5011
3	2908
2	744
1	234
0	96

prune366.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series654.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
175.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))
121.0ms	(cbrt (cos y))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1319
2	398
1	152
0	70

prune545.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite37.0ms

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:

24.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
171.0ms	(cbrt (* z (sin y)))
159.0ms	(cbrt (* z (sin y)))
205.0ms	(cbrt (* z (sin y)))

simplify2.8s

Counts

82 → 82

Iterations

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

prune475.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes393.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
2	22
1	20
0	12

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	1487×	body	1280	valid
1.3s	4301×	body	80	valid
1.1s	1246×	body	640	valid
403.0ms	620×	body	320	valid
129.0ms	346×	body	160	valid