Details

sample81.0ms

Algorithm

intervals

Results

30.0ms	43×	body	1280	valid
17.0ms	173×	body	80	valid
10.0ms	22×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	8×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify695.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	409
2	76
1	34
0	22

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma z (cos y) (+ x (sin y))))
0.5b	(cbrt (fma z (cos y) (+ x (sin y))))
0.5b	(cbrt (fma z (cos y) (+ x (sin y))))
0.6b	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ 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 z (cos y) (+ x (sin y))))
1.0ms	(cbrt (fma z (cos y) (+ x (sin y))))
1.0ms	(cbrt (fma z (cos y) (+ x (sin y))))
17.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt (fma z (cos y) (+ x (sin y))))
330.0ms	(cbrt (fma z (cos y) (+ x (sin y))))
285.0ms	(cbrt (fma z (cos y) (+ x (sin y))))
344.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))

simplify847.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1605
1	371
0	135

prune845.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`*-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 → 90

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
1.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
2.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
18.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

338.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
346.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
342.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
291.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))

simplify842.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1694
1	396
0	156

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
0.6b	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))
0.6b	(cbrt (* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y))))))
0.9b	(pow (cbrt (cbrt (fma z (cos y) (+ (sin y) x)))) (+ 3 1))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
26×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-up` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
17.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))
9.0ms	(cbrt (* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y))))))
14.0ms	(pow (cbrt (cbrt (fma z (cos y) (+ (sin y) x)))) (+ 3 1))

series1.7s

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt (cbrt (fma z (cos y) (+ (sin y) x))))
411.0ms	(* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y)))))
361.0ms	(cbrt (* (cbrt (fma z (cos y) (+ x (sin y)))) (cbrt (fma z (cos y) (+ x (sin y))))))
513.0ms	(pow (cbrt (cbrt (fma z (cos y) (+ (sin y) x)))) (+ 3 1))

simplify2.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	3732
1	759
0	263

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	1001×	body	1280	valid
724.0ms	5522×	body	80	valid
455.0ms	853×	body	640	valid
181.0ms	407×	body	320	valid
46.0ms	216×	body	160	valid
1.0ms	1×	body	2560	valid