Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	30×	body	1280	valid
9.0ms	182×	body	80	valid
7.0ms	28×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	74
1	70	63
2	283	63
3	1390	63
4	5001	63

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
7.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
38.0ms	(fma (cos y) z (+ x (sin y)))
38.0ms	(fma (cos y) z (+ x (sin y)))
41.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify145.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	186	668
1	643	577
2	3624	548
3	5001	525

prune224.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.1b	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))))
0.3b	(* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 167

Calls

4 calls:

1.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
30.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))))
13.0ms	(* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
186.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
39.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y)))))))
84.0ms	(* (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	471	1539
1	1820	1336
2	5001	1288

prune339.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y)))))
0.2b	(* (* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`sqrt-prod`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y)))))
15.0ms	(* (* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (cbrt (fma (cos y) z (+ x (sin y))))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series740.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y)))))
257.0ms	(* (* (fabs (cbrt (fma (cos y) z (+ x (sin y))))) (sqrt (fma (cos y) z (+ x (sin y))))) (sqrt (cbrt (fma (cos y) z (+ x (sin y))))))
186.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
187.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	562	1608
1	2567	1447
2	5001	1425

prune313.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

403.0ms	984×	body	1280	valid
288.0ms	5642×	body	80	valid
194.0ms	809×	body	640	valid
62.0ms	383×	body	320	valid
21.0ms	182×	body	160	valid