Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

366×

body

valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	81	4
3	127	4
4	133	4
5	149	4
6	205	4
7	396	4
8	1328	4
9	4662	4
10	5001	4

prune1.0ms

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

10.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify141.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	170
1	807	140
2	4462	140
3	5001	140

prune39.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

6.0ms	(* 2.0 (pow x 3))
6.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
5.0ms	(* (* x x) 3.0)

series152.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* 2.0 (pow x 3))
92.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms	(* (* x x) 3.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	292	325
1	1517	282
2	5001	277

prune119.0ms

Filtered

74 candidates to 45 candidates (60.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.1b	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
39×	`add-exp-log`
27×	`pow-prod-down`
24×	`prod-exp`
23×	`add-cbrt-cube`
22×	`cbrt-unprod`
19×	`associate-r`
17×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sum-log` `pow-sqr` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* 2.0 (pow x 3))
14.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
11.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
17.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series342.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 2.0 (pow x 3))
148.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
70.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
87.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	410	756
1	2302	558
2	5002	518

prune185.0ms

Filtered

117 candidates to 62 candidates (53.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) (- (* 2.0 (pow x 3))))
0.2b	(* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.2b	(* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-exp-log`
121×	`prod-exp`
27×	`pow-to-exp` `pow-exp`
22×	`associate-r`
21×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`cbrt-unprod`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
9×	`cbrt-prod`
8×	`add-log-exp`
7×	`unpow-prod-down`
6×	`pow1`
4×	`cube-prod` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `sqr-pow`
2×	`sum-log`
1×	`+-commutative` `pow2` `neg-sub0` `cube-mult` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `flip-+` `unpow2`

Counts

4 → 133

Calls

4 calls:

6.0ms	(* 2.0 (pow x 3))
16.0ms	(+ (* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) (- (* 2.0 (pow x 3))))
17.0ms	(* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
14.0ms	(* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))

series717.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 2.0 (pow x 3))
161.0ms	(+ (* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) (- (* 2.0 (pow x 3))))
93.0ms	(* (* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
422.0ms	(* (pow x 2) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	537	1682
1	2659	1373
2	5001	1120

prune273.0ms

Filtered

145 candidates to 67 candidates (46.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	146	4	150

Merged error: 0b

Counts

150 → 4

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	28	17
2	28	17

end0.0ms

sample372.0ms

Algorithm

intervals

Results

241.0ms

11883×

body

valid