Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify187.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4

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

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-l`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

3 → 73

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
10.0ms	(* 0.12900613773279798 (* x x))

series180.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
96.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	247	453
1	1096	392
2	5001	378

prune107.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`diff-log` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
5.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
5.0ms	(* (* 0.12900613773279798 x) x)

series178.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
95.0ms	(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
24.0ms	(* (* 0.12900613773279798 x) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	245	449
1	1206	389
2	5002	381

prune97.0ms

Filtered

81 candidates to 50 candidates (61.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0b

Counts

86 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.1b	(* 0.12900613773279798 (* (* x x) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

4.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
5.0ms	(* (* x x) x)
8.0ms	(* 0.12900613773279798 (* (* x x) x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
35.0ms	(* (* x x) x)
36.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	241	310
1	969	249
2	5002	241

prune86.0ms

Filtered

78 candidates to 43 candidates (55.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
0.1b	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.2b	(* (sqrt 0.12900613773279798) (* x x))
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`prod-diff`
7×	`sqrt-prod`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `*-commutative` `unswap-sqr`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

4 → 103

Calls

4 calls:

3.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
5.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
7.0ms	(* (sqrt 0.12900613773279798) (* x x))
10.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
170.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
44.0ms	(* (sqrt 0.12900613773279798) (* x x))
73.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	318	903
1	1426	666
2	5001	585

prune153.0ms

Filtered

115 candidates to 74 candidates (64.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Merged error: 0b

Counts

120 → 5

regimes37.0ms

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	10	4
1	10	4

end0.0ms

sample400.0ms

Algorithm

intervals

Results

270.0ms

11962×

body

valid