Details

sample94.0ms

Algorithm

intervals

Results

38.0ms	31×	body	1280	valid
18.0ms	171×	body	80	valid
12.0ms	27×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	21
1	13
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (sin y))
72.0ms	(fma (cos y) z (+ x (sin y)))

simplify1.3s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	808
2	233
1	101
0	46

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite24.0ms

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:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
17.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
326.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
294.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
323.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1608
1	371
0	135

prune536.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

29×	`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 → 82

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
12.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
4.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
280.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
287.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
211.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify2.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	2656
1	603
0	220

prune648.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (* (* (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
15×	`pow1`
13×	`pow1/3` `add-exp-log` `add-cube-cbrt`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow-prod-down`
6×	`add-cbrt-cube` `associate-l` `prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 78

Calls

4 calls:

80.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (* (* (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))))
1.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (* (* (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))) (cbrt (cbrt (fma (cos y) z (+ x (sin y)))))))
212.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
302.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
246.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify1.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1529
1	401
0	153

prune530.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes201.0ms

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	8
1	8
0	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5546×	body	80	valid
711.0ms	1011×	body	1280	valid
317.0ms	824×	body	640	valid
145.0ms	412×	body	320	valid
37.0ms	207×	body	160	valid