Details

sample17.0ms

Algorithm

intervals

Results

8.0ms	236×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	34	3
3	41	3
4	47	3
5	50	3
6	50	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- x (* (/ 3.0 8.0) y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- x (* (/ 3.0 8.0) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	80	79
1	258	72
2	1053	72
3	3864	72
4	5002	72

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- x (* (/ 3.0 8.0) y))
2.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
15.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- x (* (/ 3.0 8.0) y))
82.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
82.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
30.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify177.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	224	774
1	833	702
2	4839	676
3	5001	676

prune182.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
0.3b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
16×	`associate-*r/`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r` `associate-*l/`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 197

Calls

4 calls:

3.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
46.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
20.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
208.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))))
81.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	536	2154
1	1886	1866
2	5003	1837

prune369.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
0.2b	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.2b	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

118×	`sqrt-div`
40×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
28×	`cbrt-div`
21×	`sqrt-prod`
18×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`associate-*l/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 117

Calls

4 calls:

26.0ms	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
2.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
76.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

series983.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))))
281.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
265.0ms	(cbrt (sqrt (- x (* (/ 3.0 8.0) y))))
231.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (* (* (fabs (cbrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (sqrt (- x (* (/ 3.0 8.0) y)))))))

simplify89.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	729	3256
1	2696	2999
2	5002	2955

prune541.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample337.0ms

Algorithm

intervals

Results

150.0ms	7366×	body	80	valid
19.0ms	227×	body	1280	valid
14.0ms	156×	body	640	valid
10.0ms	101×	body	2560	valid
5.0ms	97×	body	320	valid
2.0ms	53×	body	160	valid