Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 85.144043%

Results

13.0ms

256×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	64	10
2	143	10
3	288	10
4	443	10
5	563	10
6	648	10
7	817	10
8	1060	10
9	1066	10
10	1066	10

prune3.0ms

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: 17.9b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
9.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
14.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series47.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
11.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
23.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify69.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	525	728
1	2508	623
2	5001	623

prune153.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.4b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
16.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
27.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	545	1085
1	2456	970
2	5002	970

prune177.0ms

Filtered

84 candidates to 118 candidates (-40.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

11.7b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
13.3b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.3b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.3b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

26.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
6.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
6.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
6.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series73.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
8.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
7.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
8.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify61.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	605	1265
1	2229	1114
2	5001	1105

prune262.0ms

Filtered

69 candidates to 82 candidates (-18.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.07512208616047561 (/ y z))
0.3b	(* 0.40462203869992125 (/ y (pow z 2)))
3.8b	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
6.8b	(/ y (pow z 2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt` `times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
41×	`associate-r`
24×	`add-exp-log`
22×	`unpow-prod-down`
16×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`pow1` `associate-/r*` `unpow2` `sqr-pow`
7×	`div-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`associate-*r/` `cbrt-unprod`
3×	`cbrt-undiv` `div-inv` `associate-/l*`
2×	`pow-to-exp` `diff-log` `pow-prod-down` `pow-exp` `*-commutative` `frac-sub`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate--l+` `clear-num` `sum-log` `flip--` `flip-+`

Counts

4 → 149

Calls

4 calls:

7.0ms	(* 0.07512208616047561 (/ y z))
12.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
8.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
5.0ms	(/ y (pow z 2))

series34.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 0.07512208616047561 (/ y z))
6.0ms	(* 0.40462203869992125 (/ y (pow z 2)))
9.0ms	(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
5.0ms	(/ y (pow z 2))

simplify87.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	592	919
1	2963	807
2	5001	798

prune188.0ms

Filtered

106 candidates to 161 candidates (-51.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	160	6	166

Merged error: 0.0b

Counts

166 → 6

regimes368.0ms

Accuracy

96.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 16.6b

bsearch73.0ms

Steps

Iters	Range		Point
9	4.072402232531152e-21	9.904873356244382e-15	9.757824136147596e-15
7	-2.3396892744095923e+95	-3.8692265820729883e+93	-1.3298794993336985e+95

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 85.144043%

Results

420.0ms

8000×

body

valid

Details

sample1.3s

simplify58.0ms

prune3.0ms

localize16.0ms

rewrite38.0ms

series47.0ms

simplify69.0ms

prune153.0ms

localize14.0ms

rewrite45.0ms

series43.0ms

simplify68.0ms

prune177.0ms

localize20.0ms

rewrite45.0ms

series73.0ms

simplify61.0ms

prune262.0ms

localize13.0ms

rewrite38.0ms

series34.0ms

simplify87.0ms

prune188.0ms

regimes368.0ms

bsearch73.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling