Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
14.0ms	(* (/ 841.0 108.0) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	252	227
1	873	207
2	3441	206
3	5001	205

prune91.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0b

Counts

56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms	(* 841.0 (/ x 108.0))

series49.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
14.0ms	(* 841.0 (/ x 108.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	265	232
1	1060	212
2	4486	212
3	5001	211

prune78.0ms

Filtered

55 candidates to 42 candidates (76.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 89

Calls

3 calls:

12.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms	(* (sqrt (/ 841.0 108.0)) x)
13.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series188.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
39.0ms	(* (sqrt (/ 841.0 108.0)) x)
70.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify129.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	337	607
1	1140	534
2	4996	524
3	5001	524

prune171.0ms

Filtered

98 candidates to 75 candidates (76.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.2b	(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
0.3b	(/ (fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-l`
18×	`sqrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac`
11×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `fma-udef`

Counts

4 → 93

Calls

4 calls:

1.0ms	(fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0))
7.0ms	(* (sqrt (/ 841.0 108.0)) x)
8.0ms	(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
5.0ms	(/ (fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

series602.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0))
39.0ms	(* (sqrt (/ 841.0 108.0)) x)
87.0ms	(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
299.0ms	(/ (fma (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0 (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	316	854
1	1051	756
2	4546	756
3	5001	756

prune224.0ms

Filtered

105 candidates to 76 candidates (72.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Merged error: 0b

Counts

109 → 4

regimes44.0ms

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

sample240.0ms

Algorithm

intervals

Results

156.0ms	8009×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid