Details

analyze192.0ms (9.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample18.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify137.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5541	8

prune9.0ms (0.4%)

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: 0.1b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series26.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* x (log y)) z)
8.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

simplify37.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4935	594
1	4935	594

prune99.0ms (4.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`log-prod`
30×	`add-sqr-sqrt`
27×	`sqrt-prod`
26×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
14×	`pow1`
13×	`associate-+r+` `add-log-exp`
12×	`associate-+l+` `associate-r` `associate--l+`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`sum-log`
3×	`sqrt-pow1` `pow1/2`
2×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 122

Calls

4 calls:

11.0ms	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))
2.0ms	(log (sqrt y))

series37.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (log (sqrt y)))
11.0ms	(+ (* x (log (sqrt y))) (- (* x (log (sqrt y))) (+ y z)))
9.0ms	(* x (log (sqrt y)))
4.0ms	(log (sqrt y))

simplify77.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4931	1231
1	4931	1231

prune159.0ms (7.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

localize20.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
24.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5165	356

prune136.0ms (6.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.4b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

7.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series84.0ms (4%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
19.0ms	(* x (log (cbrt y)))

simplify61.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune114.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	91	5	96

Merged error: 0b

Counts

96 → 5

regimes160.0ms (7.7%)

Accuracy

Total 0.1b remaining (89%)

Threshold costs 0.1b (89%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	15
1	38	15

end0.0ms (0%)

sample496.0ms (23.7%)

Algorithm

1×

intervals

Results

312.0ms	7998×	body	80	valid
1.0ms	27×	body	80	invalid
1.0ms	33×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

Details

analyze192.0ms (9.2%)

sample18.0ms (0.9%)

simplify137.0ms (6.5%)

prune9.0ms (0.4%)

localize7.0ms (0.3%)

rewrite17.0ms (0.8%)

series26.0ms (1.3%)

simplify37.0ms (1.8%)

prune99.0ms (4.7%)

localize9.0ms (0.4%)

rewrite27.0ms (1.3%)

series37.0ms (1.8%)

simplify77.0ms (3.7%)

prune159.0ms (7.6%)

localize20.0ms (0.9%)

rewrite10.0ms (0.5%)

series89.0ms (4.3%)

simplify43.0ms (2%)

prune136.0ms (6.5%)

localize12.0ms (0.6%)

rewrite17.0ms (0.8%)

series84.0ms (4%)

simplify61.0ms (2.9%)

prune114.0ms (5.4%)

regimes160.0ms (7.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample496.0ms (23.7%)

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