Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 83.724976%

Results

13.0ms

256×

body

valid

simplify68.0ms

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

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: 19.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series108.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
5.0ms	(* (+ (* 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))

simplify75.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	534	840
1	2452	738
2	5003	738

prune149.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.9b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite40.0ms

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×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 96

Calls

4 calls:

3.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
15.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series103.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
5.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
23.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
5.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify79.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	554	1187
1	2427	1075
2	5002	1075

prune180.0ms

Filtered

81 candidates to 108 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
0.3b	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.4b	(* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

7.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
20.0ms	(* y (* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
7.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
17.0ms	(* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
23.0ms	(* y (* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
3.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
5.0ms	(* (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify89.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	634	1294
1	2941	1106
2	5001	1080

prune173.0ms

Filtered

84 candidates to 135 candidates (-60.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0.0b

Counts

141 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.9b	(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
18.8b	(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
7.0ms	(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
15.0ms	(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525))
5.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms	(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
22.0ms	(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	468	979
1	2069	861
2	5002	859

prune135.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

regimes213.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.1b

bsearch45.0ms

Steps

Iters	Range		Point
7	102488356.31035754	22242193286.58349	1547554523.3895543
10	-4.0498501775966277e+43	-6.142209617607888e+32	-3.79252820607458e+42

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	15
1	46	15

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 83.724976%

Results

439.0ms

8000×

body

valid

Details

sample1.5s

simplify68.0ms

prune4.0ms

localize14.0ms

rewrite44.0ms

series108.0ms

simplify75.0ms

prune149.0ms

localize15.0ms

rewrite40.0ms

series103.0ms

simplify79.0ms

prune180.0ms

localize15.0ms

rewrite54.0ms

series37.0ms

simplify89.0ms

prune173.0ms

localize15.0ms

rewrite38.0ms

series48.0ms

simplify70.0ms

prune135.0ms

regimes213.0ms

bsearch45.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling