Details

analyze661.0ms (19.1%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	49×	body	80	invalid

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	437	7
1	437	7

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:

0.7b	(- (* x y) (* z y))
7.1b	(* (- (* x y) (* z y)) t)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- (* x y) (* z y)) t)
3.0ms	(- (* x y) (* z y))

series23.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (- (* x y) (* z y)) t)
7.0ms	(- (* x y) (* z y))

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5098	319

prune88.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	29	10	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	12	41

Merged error: 0.1b

Counts

41 → 12

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.1b	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
9.3b	(cbrt (* y (- x z)))
9.3b	(cbrt (* y (- x z)))
9.3b	(cbrt (* y (- x z)))

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`associate-*r/`
60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

18.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
5.0ms	(cbrt (* y (- x z)))
5.0ms	(cbrt (* y (- x z)))
5.0ms	(cbrt (* y (- x z)))

series121.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (* y (- x z)))
34.0ms	(cbrt (* y (- x z)))
34.0ms	(cbrt (* y (- x z)))
16.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5511	1266

prune166.0ms (4.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	89	15	104

Merged error: 0.0b

Counts

104 → 15

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
7.1b	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
9.3b	(cbrt (* y (- x z)))
9.3b	(cbrt (* y (- x z)))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`associate-*r/`
58×	`cbrt-div`
40×	`associate-*l/`
29×	`flip3--` `flip--`
28×	`frac-times`
22×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-prod`
4×	`add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

19.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
5.0ms	(cbrt (* y (- x z)))
4.0ms	(cbrt (* y (- x z)))
1.0ms	(cbrt y)

series110.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (* y (- x z)))
34.0ms	(cbrt (* y (- x z)))
22.0ms	(cbrt y)
19.0ms	(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5110	1631

prune181.0ms (5.2%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	96	17	113

Merged error: 0.0b

Counts

113 → 17

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
9.3b	(cbrt (- (* x y) (* z y)))
9.3b	(cbrt (- (* x y) (* z y)))
9.3b	(cbrt (* y (- x z)))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div`
46×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
14×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
2×	`distribute-rgt-out--`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
4.0ms	(cbrt (* y (- x z)))
4.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series192.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
34.0ms	(cbrt (* y (- x z)))
33.0ms	(cbrt (- (* x y) (* z y)))
32.0ms	(cbrt (- (* x y) (* z y)))

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4944	1931
1	4944	1931

prune136.0ms (3.9%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	13	13
Picked	0	1	1
Done	0	3	3
Total	99	17	116

Merged error: 0.0b

Counts

116 → 17

regimes804.0ms (23.2%)

Accuracy

Total 0.7b remaining (94.7%)

Threshold costs 0.7b (94.7%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	58
1	75	58

end0.0ms (0%)

sample596.0ms (17.2%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	80	valid
58.0ms	1865×	body	80	invalid

Details

analyze661.0ms (19.1%)

sample22.0ms (0.6%)

simplify17.0ms (0.5%)

prune11.0ms (0.3%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series23.0ms (0.7%)

simplify42.0ms (1.2%)

prune88.0ms (2.6%)

localize10.0ms (0.3%)

rewrite37.0ms (1.1%)

series121.0ms (3.5%)

simplify32.0ms (0.9%)

prune166.0ms (4.8%)

localize14.0ms (0.4%)

rewrite36.0ms (1%)

series110.0ms (3.2%)

simplify41.0ms (1.2%)

prune181.0ms (5.2%)

localize15.0ms (0.4%)

rewrite33.0ms (1%)

series192.0ms (5.5%)

simplify59.0ms (1.7%)

prune136.0ms (3.9%)

regimes804.0ms (23.2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample596.0ms (17.2%)

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