Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

378×

body

valid

simplify188.0ms

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	4626	4
8	5002	4

prune4.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt`
57×	`unswap-sqr`
54×	`associate-r`
43×	`associate-l`
31×	`pow1`
29×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
14×	`difference-of-squares`
11×	`swap-sqr` `*-commutative`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-out--` `pow-plus` `pow-prod-up`
5×	`add-log-exp`
4×	`distribute-lft-out--`
2×	`pow2` `pow3` `pow-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 137

Calls

3 calls:

33.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
20.0ms	(* 0.12900613773279798 (* (* x x) x))
8.0ms	(* (* x x) x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
38.0ms	(* 0.12900613773279798 (* (* x x) x))
36.0ms	(* (* x x) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	382	710
1	1546	615
2	5001	609

prune152.0ms

Filtered

146 candidates to 78 candidates (46.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	143	5	148

Merged error: 0.0b

Counts

148 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
0.1b	(* 0.12900613773279798 (pow (pow x 3) 1))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
23×	`unpow-prod-down`
21×	`unswap-sqr`
15×	`*-un-lft-identity`
12×	`associate-r` `difference-of-squares`
10×	`add-exp-log`
8×	`sqr-pow`
7×	`associate-l`
6×	`pow1` `add-cube-cbrt`
5×	`prod-exp`
4×	`pow-exp` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-to-exp`
1×	`sub-neg` `pow-unpow` `flip3--` `diff-log` `unpow3` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 65

Calls

2 calls:

20.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
11.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

series142.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow (pow x 3) 1)))
37.0ms	(* 0.12900613773279798 (pow (pow x 3) 1))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	285	462
1	1074	440
2	5001	431

prune108.0ms

Filtered

71 candidates to 45 candidates (36.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
64×	`unswap-sqr`
38×	`associate-r`
28×	`associate-l`
27×	`*-un-lft-identity`
22×	`difference-of-squares`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-commutative`
9×	`swap-sqr`
8×	`distribute-rgt-out--` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--`
4×	`add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

2 → 106

Calls

2 calls:

34.0ms	(- (* 0.954929658551372 x) (* (* x 0.12900613773279798) (* x x)))
14.0ms	(* (* x 0.12900613773279798) (* x x))

series139.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (* 0.954929658551372 x) (* (* x 0.12900613773279798) (* x x)))
42.0ms	(* (* x 0.12900613773279798) (* x x))

simplify64.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	414	778
1	1746	702
2	5001	691

prune117.0ms

Filtered

112 candidates to 58 candidates (48.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	112	5	117

Merged error: 0b

Counts

117 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

10.0ms	(- 0.954929658551372 (* (* x 0.12900613773279798) x))
14.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
7.0ms	(* (* x 0.12900613773279798) x)

series192.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- 0.954929658551372 (* (* x 0.12900613773279798) x))
100.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
30.0ms	(* (* x 0.12900613773279798) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	273	419
1	1283	380
2	5001	374

prune94.0ms

Filtered

88 candidates to 54 candidates (38.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0b

Counts

93 → 5

regimes23.0ms

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	14	5
1	14	5

end0.0ms

sample388.0ms

Algorithm

intervals

Results

264.0ms

11998×

body

valid