Details

analyze937.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

sample29.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5321	37

prune10.0ms

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: 24.5b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
0.1b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
23.7b	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*r/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 97

Calls

4 calls:

11.0ms	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
9.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
26.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series50.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
4.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
36.0ms	(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5007	2277

prune263.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	9	109
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 0b

Counts

111 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
0.1b	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b	(* x (+ (* x 4.16438922228) 78.6994924154))
23.8b	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `prod-exp` `flip-+`
5×	`associate-*r/` `unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `distribute-lft-in` `1-exp` `associate-*l/` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

13.0ms	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
9.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
7.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
32.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
8.0ms	(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
6.0ms	(* x (+ (* x 4.16438922228) 78.6994924154))
36.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

simplify57.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5600	2931

prune247.0ms

Filtered

83 candidates to 131 candidates (-57.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Merged error: 0b

Counts

141 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))
12.9b	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
12.9b	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
23.7b	(/ (+ (* x (+ (* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`times-frac` `sqrt-prod`
8×	`associate-*r/`
6×	`associate-r`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

20.0ms	(* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))
7.0ms	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
9.0ms	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
37.0ms	(/ (+ (* x (+ (* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)))
5.0ms	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
5.0ms	(sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))
36.0ms	(/ (+ (* x (+ (* (* x (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) (sqrt (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416))) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify38.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5809	2763

prune263.0ms

Filtered

75 candidates to 102 candidates (-36.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	102	9	111

Merged error: 0b

Counts

111 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

9.5b	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
9.5b	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
13.6b	(* (* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
20.5b	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

63×	`sqrt-prod`
52×	`add-sqr-sqrt`
42×	`times-frac`
38×	`*-un-lft-identity`
36×	`associate-r`
35×	`add-cube-cbrt`
17×	`sqrt-div`
15×	`pow1`
11×	`add-exp-log` `frac-times` `associate-*l/` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
8×	`associate-/r/`
6×	`rem-sqrt-square` `sqrt-pow1`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
2×	`pow-flip` `pow1/2` `*-commutative` `inv-pow`

Counts

4 → 145

Calls

4 calls:

14.0ms	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
14.0ms	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
50.0ms	(* (* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
32.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
7.0ms	(sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
38.0ms	(* (* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))
55.0ms	(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))))

simplify78.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4964	5420
1	4964	5420

prune503.0ms

Filtered

111 candidates to 157 candidates (-41.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	157	9	166

Merged error: 0b

Counts

166 → 9

regimes410.0ms

Accuracy

95.3% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 24.6b

bsearch34.0ms

Steps

Iters	Range		Point
4	20973825522848.305	33734523484247.094	33335751672953.38
9	-5.661009970185398e+58	-1.9103653005101844e+52	-2.338338503581857e+52

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	61
1	89	61

end0.0ms

sample805.0ms

Algorithm

intervals

Results

638.0ms	8000×	body	80	valid
1.0ms	16×	body	80	invalid

Details

analyze937.0ms

sample29.0ms

simplify36.0ms

prune10.0ms

localize22.0ms

rewrite56.0ms

series50.0ms

simplify47.0ms

prune263.0ms

localize23.0ms

rewrite65.0ms

series55.0ms

simplify57.0ms

prune247.0ms

localize26.0ms

rewrite76.0ms

series51.0ms

simplify38.0ms

prune263.0ms

localize27.0ms

rewrite115.0ms

series107.0ms

simplify78.0ms

prune503.0ms

regimes410.0ms

bsearch34.0ms

simplify2.0ms

end0.0ms

sample805.0ms

Profiling