Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	26	6
1	55	6
2	122	6
3	205	6
4	253	5
5	307	5
6	363	5
7	498	5
8	911	5
9	1187	5
10	1188	5
11	1188	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (- (* x 3.0) 4.0))
5.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (- (* x 3.0) 4.0))
31.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	248	302
1	1146	270
2	5001	270

prune82.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `diff-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms	(* 9.0 (pow x 2))

series51.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms	(* 9.0 (pow x 2))

simplify139.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	193	239
1	761	207
2	3883	201
3	5001	200

prune69.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

4.0ms	(- (* 9.0 x) 12.0)
6.0ms	(* x (- (* 9.0 x) 12.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* 9.0 x) 12.0)
62.0ms	(* x (- (* 9.0 x) 12.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	135	189
1	536	167
2	2705	166
3	5001	166

prune50.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-*r/`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* x (- (* x 3.0) 4.0))
6.0ms	(* x (- (* x 3.0) 4.0))
10.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
6.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (- (* x 3.0) 4.0))
62.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
115.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	422	972
1	1835	847
2	5001	836

prune177.0ms

Filtered

113 candidates to 68 candidates (60.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes16.0ms

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	11	4
1	11	4

end0.0ms

sample443.0ms

Algorithm

intervals

Results

325.0ms

10813×

body

valid