Details

analyze646.0ms (19.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune11.0ms (0.3%)

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: 0.1b

Counts

2 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
9.2b	(* (- y x) (/ z t))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (- y x) (/ z t))
7.0ms	(+ x (* (- y x) (/ z t)))

series23.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(* (- y x) (/ z t))
11.0ms	(+ x (* (- y x) (/ z t)))

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5329	557

prune107.0ms (3.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.2b	(cbrt (* (- y x) (/ z t)))
9.2b	(* (- y x) (/ z t))
9.2b	(* (- y x) (/ z t))
9.2b	(* (- y x) (/ z t))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))
6.0ms	(cbrt (* (- y x) (/ z t)))

series76.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))
12.0ms	(* (- y x) (/ z t))
12.0ms	(* (- y x) (/ z t))

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5046	1369

prune397.0ms (11.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	139	12	151

Merged error: 0.0b

Counts

151 → 12

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.6b	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

15.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series85.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt z)
22.0ms	(cbrt z)
21.0ms	(cbrt z)
18.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5330	762

prune133.0ms (4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.8b	(* (* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))))) (/ (cbrt (cbrt z)) (cbrt t)))
4.0b	(* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))))

rewrite61.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`cbrt-prod`
84×	`add-exp-log`
59×	`associate-r`
54×	`times-frac`
51×	`prod-exp` `cbrt-unprod`
46×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`add-cube-cbrt`
39×	`add-cbrt-cube`
27×	`pow1`
22×	`associate-*r/`
16×	`pow-prod-down`
12×	`cbrt-undiv` `div-exp`
11×	`frac-times` `associate-*l/`
6×	`flip3--` `associate-l` `flip--`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

29.0ms	(* (* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))))) (/ (cbrt (cbrt z)) (cbrt t)))
16.0ms	(* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))))
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
1.0ms	(cbrt (cbrt z))

series157.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t))))))
34.0ms	(cbrt (* (cbrt z) (cbrt z)))
29.0ms	(cbrt (cbrt z))
15.0ms	(* (* (- y x) (* (cbrt z) (* (cbrt z) (/ (cbrt (* (cbrt z) (cbrt z))) (* (cbrt t) (cbrt t)))))) (/ (cbrt (cbrt z)) (cbrt t)))

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5047	4241

prune211.0ms (6.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	173	12	185

Merged error: 0.0b

Counts

185 → 12

regimes449.0ms (13.5%)

Accuracy

Total 1.3b remaining (98.6%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	73
1	49	73

end0.0ms (0%)

sample582.0ms (17.5%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	80	valid
68.0ms	2077×	body	80	invalid

Details

analyze646.0ms (19.4%)

sample22.0ms (0.7%)

simplify34.0ms (1%)

prune11.0ms (0.3%)

localize6.0ms (0.2%)

rewrite17.0ms (0.5%)

series23.0ms (0.7%)

simplify44.0ms (1.3%)

prune107.0ms (3.2%)

localize11.0ms (0.3%)

rewrite39.0ms (1.2%)

series76.0ms (2.3%)

simplify41.0ms (1.2%)

prune397.0ms (11.9%)

localize11.0ms (0.3%)

rewrite21.0ms (0.6%)

series85.0ms (2.5%)

simplify56.0ms (1.7%)

prune133.0ms (4%)

localize22.0ms (0.6%)

rewrite61.0ms (1.8%)

series157.0ms (4.7%)

simplify65.0ms (2%)

prune211.0ms (6.3%)

regimes449.0ms (13.5%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample582.0ms (17.5%)

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