Details

analyze508.0ms (15.6%)

Algorithm

1×

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 (0.7%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

valid

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.4b

Counts

2 → 1

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
2.9b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
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` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
10.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
8.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)

series48.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
11.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
9.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	1292
1	4974	1292

prune188.0ms (5.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
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)))
13.9b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite47.0ms (1.4%)

Algorithm

1×	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` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* 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))
8.0ms	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))

series42.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
9.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
3.0ms	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5103	1972

prune226.0ms (6.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.3b	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
14.0b	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

rewrite50.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

17.0ms	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
14.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
7.0ms	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))

series39.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
6.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
3.0ms	(+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5178	3805

prune347.0ms (10.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

localize23.0ms (0.7%)

Local error

Found 4 expressions with local error:

13.8b	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
13.8b	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
13.8b	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.8b	(/ (* (* y (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
31×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-/l/`
18×	`add-exp-log`
14×	`associate-*l/`
13×	`add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*`
2×	`associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

35.0ms	(/ (* (* y (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
8.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
7.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
6.0ms	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series52.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* (* y (* (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
9.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
9.0ms	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
9.0ms	(cbrt (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4960	3008
1	4960	3008

prune432.0ms (13.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

regimes208.0ms (6.4%)

Accuracy

Total 0.1b remaining (90%)

Threshold costs 0.1b (90%)

bsearch39.0ms (1.2%)

Steps

Iters	Range		Point
9	416104.49141272006	1048069562473.0013	668128.7458562042
10	-3.620924083935107e+55	-2.427330225858695e+40	-2.041562965926091e+55

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	45
1	66	45

end0.0ms (0%)

sample577.0ms (17.7%)

Algorithm

1×

intervals

Results

410.0ms

8000×

body

valid

Details

analyze508.0ms (15.6%)

sample22.0ms (0.7%)

simplify12.0ms (0.4%)

prune7.0ms (0.2%)

localize18.0ms (0.5%)

rewrite41.0ms (1.3%)

series48.0ms (1.5%)

simplify54.0ms (1.7%)

prune188.0ms (5.8%)

localize17.0ms (0.5%)

rewrite47.0ms (1.4%)

series42.0ms (1.3%)

simplify72.0ms (2.2%)

prune226.0ms (6.9%)

localize15.0ms (0.4%)

rewrite50.0ms (1.5%)

series39.0ms (1.2%)

simplify58.0ms (1.8%)

prune347.0ms (10.7%)

localize23.0ms (0.7%)

rewrite61.0ms (1.9%)

series52.0ms (1.6%)

simplify55.0ms (1.7%)

prune432.0ms (13.3%)

regimes208.0ms (6.4%)

bsearch39.0ms (1.2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample577.0ms (17.7%)

Profiling