Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	29×	body	1280	valid
9.0ms	176×	body	80	valid
8.0ms	32×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	8×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

10.0ms	(+ x (sin y))
8.0ms	(* z (cos y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (sin y))
33.0ms	(* z (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	132	141
1	377	125
2	864	125
3	1743	125
4	5001	125

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (sin y) (sin y)))
0.1b	(* z (cos y))
0.3b	(* (sin y) (sin y))
19.2b	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
13×	`pow1`
12×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `swap-sqr` `flip--`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `sqr-sin` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `sin-mult` `associate--r-`

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (* x x) (* (sin y) (sin y)))
8.0ms	(* z (cos y))
14.0ms	(* (sin y) (sin y))
26.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x x) (* (sin y) (sin y)))
32.0ms	(* z (cos y))
17.0ms	(* (sin y) (sin y))
64.0ms	(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	434	942
1	1983	834
2	5001	802

prune628.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.0b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(sqrt (cos y))
2.0ms	(sqrt (cos y))
10.0ms	(* z (sqrt (cos y)))
28.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (cos y))
14.0ms	(sqrt (cos y))
46.0ms	(* z (sqrt (cos y)))
38.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	164	390
1	721	346
2	2852	340
3	5002	340

prune317.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))) (sqrt (cos y)))
0.1b	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

78.0ms	(* (* z (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))) (sqrt (cos y)))
17.0ms	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series407.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* z (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))) (sqrt (cos y)))
114.0ms	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
98.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	290	810
1	1370	723
2	5001	710

prune494.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes124.0ms

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	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

414.0ms	944×	body	1280	valid
317.0ms	5594×	body	80	valid
228.0ms	875×	body	640	valid
72.0ms	393×	body	320	valid
28.0ms	194×	body	160	valid