Details

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.310059%

Results

21.0ms

256×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	138	18
2	450	18
3	1597	18
4	5001	18

prune4.0ms

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: 30.9b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
30.0b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
13.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
31.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series67.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
9.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
47.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify93.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	673	1268
1	3351	1088
2	5001	1088

prune239.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite61.0ms

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-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`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 → 91

Calls

4 calls:

9.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
16.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
27.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
9.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
6.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
38.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify79.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	564	1293
1	2414	1159
2	5002	1159

prune215.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
17.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
28.0b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
7.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
6.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
54.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
8.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
8.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
39.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify63.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	435	1864
1	1427	1721
2	5002	1709

prune387.0ms

Filtered

72 candidates to 82 candidates (-13.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
28.0b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
110×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
74×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
8×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 184

Calls

4 calls:

9.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
32.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
27.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series91.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
6.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
47.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
34.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify145.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	976	4918
1	4272	4691
2	5001	4691

prune565.0ms

Filtered

143 candidates to 196 candidates (-37.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	196	7	203

Merged error: 0b

Counts

203 → 7

regimes301.0ms

Accuracy

97% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 24.6b

bsearch35.0ms

Steps

Iters	Range		Point
4	3.795740838785907e+50	7.061836983172244e+50	5.93911643353944e+50
5	-2.2071969582880964e+43	-9.68612382740361e+42	-2.185556185589129e+43

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	42
1	79	42
2	79	42

end0.0ms

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.310059%

Results

670.0ms	8000×	body	80	valid
1.0ms	10×	body	80	invalid

Details

sample3.8s

simplify41.0ms

prune4.0ms

localize27.0ms

rewrite63.0ms

series67.0ms

simplify93.0ms

prune239.0ms

localize24.0ms

rewrite61.0ms

series58.0ms

simplify79.0ms

prune215.0ms

localize29.0ms

rewrite75.0ms

series64.0ms

simplify63.0ms

prune387.0ms

localize24.0ms

rewrite83.0ms

series91.0ms

simplify145.0ms

prune565.0ms

regimes301.0ms

bsearch35.0ms

simplify3.0ms

end0.0ms

sample4.8s

Profiling