Details

analyze490.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

sample22.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune11.0ms

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: 15.9b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
15.3b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
19.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
14.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
23.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify32.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5200	1912

prune197.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (* (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
15.3b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
15.3b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
30.0ms	(* y (* (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
14.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
14.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series44.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
27.0ms	(* y (* (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (sqrt (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))))
5.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
5.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify60.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4975	2355
1	4975	2355

prune274.0ms

Filtered

90 candidates to 118 candidates (-31.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Merged error: 0.0b

Counts

122 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (/ y (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
14.8b	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
14.8b	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
14.9b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

34.0ms	(* (/ y (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
8.0ms	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
6.0ms	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
15.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (/ y (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
4.0ms	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
4.0ms	(sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
7.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

simplify53.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5363	4141

prune357.0ms

Filtered

117 candidates to 162 candidates (-38.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	162	4	166

Merged error: 0.0b

Counts

166 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.3b	(/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
4.5b	(* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y)
18.3b	(* (* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y) (/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
21×	`associate-r`
18×	`times-frac`
14×	`pow1` `prod-exp`
8×	`associate-*l/` `cbrt-unprod`
7×	`associate-l`
6×	`flip3-+` `div-exp` `flip-+`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `associate-/r` `-commutative` `associate-/l`
2×	`frac-times` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
10.0ms	(/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
10.0ms	(* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y)
21.0ms	(* (* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y) (/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
3.0ms	(/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
7.0ms	(* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y)
13.0ms	(* (* (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) y) (/ 1 (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))

simplify51.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5059	1942

prune159.0ms

Filtered

81 candidates to 131 candidates (-61.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

regimes205.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.3b

bsearch32.0ms

Steps

Iters	Range		Point
9	410962.6305153274	27527827502848.824	736883.8876437305
6	-4187204548.0402417	-319930910.807512	-1811801313.489081

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	55
1	67	55

end0.0ms

sample575.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid

Details

analyze490.0ms

sample22.0ms

simplify10.0ms

prune11.0ms

localize13.0ms

rewrite46.0ms

series38.0ms

simplify32.0ms

prune197.0ms

localize19.0ms

rewrite67.0ms

series44.0ms

simplify60.0ms

prune274.0ms

localize16.0ms

rewrite69.0ms

series38.0ms

simplify53.0ms

prune357.0ms

localize15.0ms

rewrite51.0ms

series30.0ms

simplify51.0ms

prune159.0ms

regimes205.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample575.0ms

Profiling