Details

analyze2.0s (26.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify141.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune11.0ms (0.1%)

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: 29.9b

Counts

2 → 1

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite53.0ms (0.7%)

Algorithm

1×	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:

25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
6.0ms	(* (+ (* x y) z) y)

series180.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
14.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* x y) z) y)
8.0ms	(* (+ (* (+ y a) y) b) y)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5050	2165

prune248.0ms (3.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 28.9b

Counts

104 → 10

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

21.9b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
21.9b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
21.9b	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
29.2b	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

32.0ms	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
9.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
8.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
8.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))

series269.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (+ (* (+ (* (* (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) (cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
48.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
47.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))
47.0ms	(cbrt (* y (+ (* y (+ (* x y) z)) 27464.7644705)))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4951	2110
1	4951	2110

prune224.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Merged error: 28.9b

Counts

86 → 10

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ y a)) b))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
28.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

30.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
13.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
11.0ms	(* y (+ (* y (+ y a)) b))
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

series197.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
25.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* y (+ (* y (+ y a)) b))

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5072	2923

prune256.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	129	10	139

Merged error: 28.9b

Counts

139 → 10

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

3.6b	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
29.2b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
29.2b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
29.2b	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))

rewrite110.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

29.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
28.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
26.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
22.0ms	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series475.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
110.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
110.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
109.0ms	(/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4944	5657
1	4944	5657

prune441.0ms (5.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 28.9b

Counts

139 → 11

regimes1.2s (15.4%)

Accuracy

Total 1.1b remaining (3.9%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	60
1	45	60

end0.0ms (0%)

sample1.2s (15.6%)

Algorithm

1×

intervals

Results

731.0ms	8000×	body	80	valid
24.0ms	231×	body	80	invalid

Details

analyze2.0s (26.8%)

sample43.0ms (0.6%)

simplify141.0ms (1.9%)

prune11.0ms (0.1%)

localize26.0ms (0.4%)

rewrite53.0ms (0.7%)

series180.0ms (2.4%)

simplify48.0ms (0.6%)

prune248.0ms (3.3%)

localize31.0ms (0.4%)

rewrite59.0ms (0.8%)

series269.0ms (3.6%)

simplify55.0ms (0.7%)

prune224.0ms (3%)

localize23.0ms (0.3%)

rewrite67.0ms (0.9%)

series197.0ms (2.6%)

simplify74.0ms (1%)

prune256.0ms (3.4%)

localize37.0ms (0.5%)

rewrite110.0ms (1.5%)

series475.0ms (6.3%)

simplify101.0ms (1.3%)

prune441.0ms (5.9%)

regimes1.2s (15.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.2s (15.6%)

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