Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	54×	body	1280	valid
12.0ms	50×	body	640	valid
9.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `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 → 56

Calls

3 calls:

11.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
9.0ms	(* z (sin y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (cos y)) (* z (sin y)))
34.0ms	(* x (cos y))
43.0ms	(* z (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	190	289
1	696	265
2	2348	265
3	5002	261

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite21.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series415.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
104.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))

simplify98.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite21.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series414.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))

simplify98.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
0.5b	(cbrt (- (* x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (* x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (* x (cos y)) (* z (sin y))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

64.0ms	(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
7.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))
7.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))
8.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))

series858.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (- (* x (cos y)) (* z (sin y)))) (cbrt (- (* x (cos y)) (* z (sin y)))))
208.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))
204.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))
207.0ms	(cbrt (- (* x (cos y)) (* z (sin y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	1567
1	1175	1473
2	5001	1377

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

613.0ms	1465×	body	1280	valid
353.0ms	1291×	body	640	valid
240.0ms	4317×	body	80	valid
112.0ms	613×	body	320	valid
38.0ms	314×	body	160	valid