Details

sample18.0ms

Algorithm

intervals

Results

9.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

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 (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	83	100
1	207	91
2	481	91
3	1288	91
4	3899	91
5	5002	91

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
10.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
49.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ (fabs (- y x)) 2.0))
47.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	273	1063
1	1071	971
2	5001	937

prune210.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
14×	`sqrt-div`
13×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-r/` `associate-l*`
9×	`flip3-+` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 87

Calls

4 calls:

26.0ms	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
50.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
77.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))
51.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	643	1976
1	2304	1836
2	5002	1802

prune346.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
0.5b	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-div`
42×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
19×	`*-un-lft-identity`
18×	`cbrt-prod`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-*l/`
7×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 99

Calls

4 calls:

152.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
6.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (fabs (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))))
52.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
54.0ms	(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
51.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	748	2952
1	2521	2648
2	5001	2619

prune441.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample464.0ms

Algorithm

intervals

Results

294.0ms	7718×	body	80	valid
17.0ms	102×	body	1280	valid
9.0ms	46×	body	2560	valid
9.0ms	71×	body	640	valid
5.0ms	49×	body	320	valid
1.0ms	16×	body	160	valid