Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

9.0ms

(* x (- 1.0 (* x y)))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* x (- 1.0 (* x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	145	141
1	617	124
2	3288	124
3	5001	124

prune52.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	25	6	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
21×	`associate-l`
18×	`cbrt-div`
16×	`swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `unswap-sqr`
10×	`associate-r`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 120

Calls

4 calls:

20.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))

series937.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
238.0ms	(cbrt (- 1.0 (* x y)))
239.0ms	(cbrt (- 1.0 (* x y)))
237.0ms	(cbrt (- 1.0 (* x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	395	1419
1	1496	1345
2	5002	1208

prune336.0ms

Filtered

132 candidates to 87 candidates (65.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	132	7	139

Merged error: 0b

Counts

139 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
1.1b	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
5.7b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
5.7b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

51047×	`add-sqr-sqrt`
33208×	`cbrt-prod`
30163×	`*-un-lft-identity`
22986×	`swap-sqr`
20278×	`unswap-sqr`
15244×	`associate-l`
14490×	`difference-of-squares`
13104×	`times-frac`
5460×	`distribute-lft-out--`
5392×	`distribute-lft-out`
5370×	`*-commutative`
5160×	`associate-r`
3411×	`add-cube-cbrt`
336×	`associate-/l*`
66×	`add-cbrt-cube`
48×	`cbrt-unprod`
43×	`pow1`
39×	`associate-/r*`
28×	`add-exp-log` `cbrt-div`
25×	`cbrt-undiv`
17×	`pow-prod-down`
12×	`prod-exp`
8×	`frac-times` `flip3--` `associate-/r/` `flip--` `associate-/l/`
6×	`flip3-+` `flip-+`
4×	`associate-r/` `div-exp` `associate-l/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus` `pow1/3`
1×	`pow2` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 13743

Calls

4 calls:

13.0ms	(* (* x y) (* x y))
478.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
43.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
44.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
264.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
113.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
124.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify4.0s

Algorithm

egg-herbie

Counts

13755 → 13755

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5001	418627

prune6.2s

Filtered

13755 candidates to 1107 candidates (8.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	13754	1	13755
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	13756	6	13762

Merged error: 0b

Counts

13762 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (- (* 1.0 1.0) (* (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* x y)) (* x y)))))
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))
8.4b	(cbrt (* x y))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

3060×	`add-sqr-sqrt`
2054×	`unswap-sqr`
1436×	`cbrt-prod`
530×	`difference-of-squares`
213×	`swap-sqr`
144×	`*-commutative`
30×	`*-un-lft-identity`
19×	`associate-l`
14×	`add-cube-cbrt`
9×	`associate-r`
7×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--`

Counts

4 → 610

Calls

4 calls:

195.0ms	(cbrt (- (* 1.0 1.0) (* (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* x y)) (* x y)))))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series340.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (* 1.0 1.0) (* (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (* x y)) (* x y)))))
72.0ms	(cbrt (* x y))
82.0ms	(cbrt (* x y))
68.0ms	(cbrt (* x y))

simplify218.0ms

Algorithm

egg-herbie

Counts

622 → 622

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	2085	17806
1	3746	17364
2	5001	17320

prune896.0ms

Filtered

622 candidates to 140 candidates (22.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	622	0	622
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	622	6	628

Merged error: 0b

Counts

628 → 6

regimes75.0ms

Accuracy

0% (0.1b 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	8	3
1	8	3

end0.0ms

sample365.0ms

Algorithm

intervals

Results

194.0ms

10518×

body

valid