Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

366×

body

valid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune4.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

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))

series181.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
96.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms	(* 0.12900613773279798 (* x x))

simplify153.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	208	309
1	918	272
2	4620	271
3	5002	271

prune95.0ms

Filtered

64 candidates to 39 candidates (60.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Merged error: 0b

Counts

66 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

4.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
6.0ms	(* 0.12900613773279798 (pow x 3))

series137.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
40.0ms	(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	216	235
1	1062	204
2	5001	204

prune92.0ms

Filtered

52 candidates to 31 candidates (59.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Merged error: 0b

Counts

57 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

0.2b

(* (sqrt 0.12900613773279798) (pow x 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

4.0ms

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

8.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

8.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

series312.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms

(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))

93.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))

67.0ms

(* (sqrt 0.12900613773279798) (pow x 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	279	498
1	1435	412
2	5001	404

prune151.0ms

Filtered

84 candidates to 48 candidates (57.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize7.0ms

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) (* (sqrt 0.12900613773279798) (* x x)))
0.2b	(* (sqrt 0.12900613773279798) (* x x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

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)))))
10.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
7.0ms	(* (sqrt 0.12900613773279798) (* x x))

series412.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
179.0ms	(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
76.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
49.0ms	(* (sqrt 0.12900613773279798) (* x x))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	277	636
1	1278	496
2	5001	478

prune161.0ms

Filtered

95 candidates to 58 candidates (61.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes21.0ms

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	16	5
1	18	5
2	18	5

end0.0ms

sample375.0ms

Algorithm

intervals

Results

254.0ms

11877×

body

valid