Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	235×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	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 (/ (- x y) 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

12.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune30.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `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:

11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
101.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

412.0ms	(cbrt (+ x (/ (- x y) 2.0)))
405.0ms	(cbrt (+ x (/ (- x y) 2.0)))
408.0ms	(cbrt (+ x (/ (- x y) 2.0)))
385.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	263	1109
1	759	1044
2	2601	956
3	5001	940

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

378×	`cbrt-div`
144×	`frac-times`
121×	`flip3-+` `flip-+`
72×	`associate-*l/`
41×	`cbrt-prod`
34×	`*-un-lft-identity`
30×	`associate-*r/`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`pow1`
14×	`associate-r`
11×	`add-exp-log` `pow1/3`
10×	`swap-sqr`
8×	`associate-l` `distribute-lft-out`
7×	`pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 191

Calls

4 calls:

115.0ms	(* (* (cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (+ x (/ (- x y) 2.0))))
98.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
14.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
27.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (* (cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (cbrt (+ x (/ (- x y) 2.0))))) (cbrt (+ x (/ (- x y) 2.0))))
399.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
415.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
400.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	838	5671
1	2336	5558
2	5001	5351

prune721.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-div`
27×	`cbrt-prod`
26×	`*-un-lft-identity`
24×	`flip3-+` `flip-+`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
8×	`associate-r/` `associate-l/`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `distribute-lft-out`
4×	`add-cbrt-cube` `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 → 104

Calls

4 calls:

97.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
27.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
28.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
26.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

394.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
405.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
406.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
405.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	272	1799
1	769	1698
2	2524	1611
3	5001	1585

prune336.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample301.0ms

Algorithm

intervals

Results

134.0ms	7391×	body	80	valid
16.0ms	209×	body	1280	valid
10.0ms	161×	body	640	valid
9.0ms	99×	body	2560	valid
8.0ms	94×	body	320	valid
2.0ms	49×	body	160	valid