Details

analyze1.4s (35.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample37.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
5.0ms	122×	body	80	invalid

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune13.0ms (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: 0.0b

Counts

2 → 2

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
6.1b	(* (* a z) b)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)
5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))

series55.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
14.0ms	(+ (+ x (* y z)) (* t a))
9.0ms	(* (* a z) b)
6.0ms	(+ x (* y z))

simplify24.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5328	695

prune98.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* y z) (* a (+ t (* z b))))
2.7b	(* a (+ t (* z b)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

5.0ms	(* a (+ t (* z b)))
4.0ms	(+ (* y z) (* a (+ t (* z b))))

series28.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* y z) (* a (+ t (* z b))))
13.0ms	(* a (+ t (* z b)))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4943	433
1	4943	433

prune72.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0.0b

Counts

46 → 6

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.5b	(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))
1.7b	(* (+ t (* z b)) (cbrt a))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `-commutative` `flip-+` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

10.0ms	(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))
6.0ms	(* (+ t (* z b)) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series91.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ t (* z b)) (cbrt a))
21.0ms	(cbrt a)
20.0ms	(cbrt a)
19.0ms	(* (* (cbrt a) (cbrt a)) (* (+ t (* z b)) (cbrt a)))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4971	591
1	4971	591

prune106.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.2b	(* (* (+ t (* z b)) (pow (cbrt a) 2)) (cbrt a))
1.9b	(* (+ t (* z b)) (pow (cbrt a) 2))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log`
17×	`associate-r`
13×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp`
9×	`add-cbrt-cube`
8×	`unpow-prod-down`
6×	`pow1` `associate-*l/`
5×	`unswap-sqr`
4×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `flip3-+` `pow1/3` `pow-exp` `*-commutative` `flip-+` `unpow2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 79

Calls

4 calls:

11.0ms	(* (* (+ t (* z b)) (pow (cbrt a) 2)) (cbrt a))
8.0ms	(* (+ t (* z b)) (pow (cbrt a) 2))
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series103.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ t (* z b)) (pow (cbrt a) 2))
22.0ms	(cbrt a)
20.0ms	(cbrt a)
16.0ms	(* (* (+ t (* z b)) (pow (cbrt a) 2)) (cbrt a))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4927	735
1	4927	735

prune120.0ms (3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

regimes551.0ms (13.6%)

Accuracy

Total 1.9b remaining (98.8%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample995.0ms (24.5%)

Algorithm

1×

intervals

Results

400.0ms	8000×	body	80	valid
184.0ms	3805×	body	80	invalid

Details

analyze1.4s (35.6%)

sample37.0ms (0.9%)

simplify4.0ms (0.1%)

prune13.0ms (0.3%)

localize10.0ms (0.3%)

rewrite22.0ms (0.5%)

series55.0ms (1.4%)

simplify24.0ms (0.6%)

prune98.0ms (2.4%)

localize10.0ms (0.2%)

rewrite10.0ms (0.2%)

series28.0ms (0.7%)

simplify55.0ms (1.4%)

prune72.0ms (1.8%)

localize14.0ms (0.3%)

rewrite20.0ms (0.5%)

series91.0ms (2.2%)

simplify71.0ms (1.8%)

prune106.0ms (2.6%)

localize14.0ms (0.3%)

rewrite23.0ms (0.6%)

series103.0ms (2.6%)

simplify64.0ms (1.6%)

prune120.0ms (3%)

regimes551.0ms (13.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample995.0ms (24.5%)

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