Details

sample96.0ms

Algorithm

intervals

Results

24.0ms	26×	body	1280	valid
24.0ms	182×	body	80	valid
19.0ms	31×	body	640	valid
5.0ms	11×	body	320	valid
2.0ms	6×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	21
1	13
0	8

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 2 expressions with local error:

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

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

169.0ms	(+ (sin y) x)
1.0ms	(fma (cos y) z (+ (sin y) x))

series218.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(+ (sin y) x)
133.0ms	(fma (cos y) z (+ (sin y) x))

simplify5.1s

Counts

33 → 33

Iterations

Iter	Nodes
done	5002
4	2193
3	672
2	257
1	113
0	51

prune563.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

25.0ms	(* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x))))
2.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))
2.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))
2.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))

series1.9s

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x))))
500.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))
380.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))
617.0ms	(cbrt (fma (cos y) z (+ (sin y) x)))

simplify6.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1321
1	375
0	137

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize208.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`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 → 54

Calls

4 calls:

3.0ms	(cbrt (cbrt (fma (cos y) z (+ (sin y) x))))
3.0ms	(cbrt (cbrt (fma (cos y) z (+ (sin y) x))))
11.0ms	(cbrt (* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x)))))
11.0ms	(cbrt (* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x)))))

series2.7s

Counts

4 → 12

Calls

4 calls:

1.0s	(cbrt (cbrt (fma (cos y) z (+ (sin y) x))))
775.0ms	(cbrt (cbrt (fma (cos y) z (+ (sin y) x))))
422.0ms	(cbrt (* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x)))))
439.0ms	(cbrt (* (cbrt (fma (cos y) z (+ (sin y) x))) (cbrt (fma (cos y) z (+ (sin y) x)))))

simplify5.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1168
1	319
0	127

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sin y) (sin y)) (sin y))
0.3b	(* (sin y) (sin y))
0.3b	(* (sin y) (sin y))
28.0b	(/ (fma x (* x x) (* (* (sin y) (sin y)) (sin y))) (+ (* (sin y) (sin y)) (- (* x x) (* (sin y) x))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac` `associate-r`
8×	`pow-plus` `pow-prod-up`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `sin-mult`
4×	`pow2` `expm1-log1p-u` `associate-/r/` `pow-sqr` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*` `unswap-sqr`
2×	`frac-add` `sqr-sin`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow3` `associate-*l/` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 122

Calls

4 calls:

72.0ms	(* (* (sin y) (sin y)) (sin y))
27.0ms	(* (sin y) (sin y))
17.0ms	(* (sin y) (sin y))
189.0ms	(/ (fma x (* x x) (* (* (sin y) (sin y)) (sin y))) (+ (* (sin y) (sin y)) (- (* x x) (* (sin y) x))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* (sin y) (sin y)) (sin y))
34.0ms	(* (sin y) (sin y))
90.0ms	(* (sin y) (sin y))
332.0ms	(/ (fma x (* x x) (* (* (sin y) (sin y)) (sin y))) (+ (* (sin y) (sin y)) (- (* x x) (* (sin y) x))))

simplify4.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	1493
1	439
0	163

prune3.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample15.1s

Algorithm

intervals

Results

7.3s	5643×	body	80	valid
4.2s	974×	body	1280	valid
2.5s	788×	body	640	valid
450.0ms	387×	body	320	valid
147.0ms	208×	body	160	valid