Details

analyze2.0s (29.2%)

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

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	7×	body	80	invalid

simplify180.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune15.0ms (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: 30.2b

Counts

2 → 1

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
29.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite66.0ms (1%)

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))
16.0ms	(* (+ (* (+ y a) y) b) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

series185.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(* (+ (* (+ y a) y) b) y)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4970	2299
1	4970	2299

prune272.0ms (4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 29.2b

Counts

104 → 14

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* y (+ (* y (+ y a)) b)) c))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.5b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
29.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite73.0ms (1.1%)

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:

33.0ms	(* (+ (* (+ (* (+ (* (+ (* 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))
13.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
11.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

series209.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))
24.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
16.0ms	(* y (+ (* y (+ (* y (+ y a)) b)) c))
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4996	3023
1	4996	3023

prune262.0ms (3.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	129	14	143

Merged error: 29.2b

Counts

143 → 14

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
29.4b	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

32.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series189.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	1588
1	4933	1588

prune171.0ms (2.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	76	14	90

Merged error: 29.2b

Counts

90 → 14

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
29.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

31.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series225.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* y (+ y a)) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))
22.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4922	1588
1	4922	1588

prune107.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	76	14	90

Merged error: 29.2b

Counts

90 → 14

regimes1.2s (18.4%)

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 (1.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms (0%)

sample1.1s (16.6%)

Algorithm

1×

intervals

Results

707.0ms	8000×	body	80	valid
17.0ms	208×	body	80	invalid

Details

analyze2.0s (29.2%)

sample41.0ms (0.6%)

simplify180.0ms (2.7%)

prune15.0ms (0.2%)

localize22.0ms (0.3%)

rewrite66.0ms (1%)

series185.0ms (2.7%)

simplify63.0ms (0.9%)

prune272.0ms (4%)

localize24.0ms (0.4%)

rewrite73.0ms (1.1%)

series209.0ms (3.1%)

simplify61.0ms (0.9%)

prune262.0ms (3.9%)

localize29.0ms (0.4%)

rewrite37.0ms (0.5%)

series189.0ms (2.8%)

simplify59.0ms (0.9%)

prune171.0ms (2.5%)

localize27.0ms (0.4%)

rewrite36.0ms (0.5%)

series225.0ms (3.3%)

simplify59.0ms (0.9%)

prune107.0ms (1.6%)

regimes1.2s (18.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.1s (16.6%)

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