Details

analyze1.1s (20.8%)

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune8.0ms (0.2%)

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: 2.2b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
11.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite101.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 191

Calls

3 calls:

61.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))
8.0ms	(/ (+ (- t z) 1.0) a)

series99.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))
37.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
11.0ms	(/ (+ (- t z) 1.0) a)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5358	3545

prune307.0ms (6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	5	201

Merged error: 0b

Counts

201 → 5

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 113

Calls

3 calls:

14.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)
10.0ms	(/ (- y z) (+ (- t z) 1.0))
3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))

series74.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
31.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)
11.0ms	(/ (- y z) (+ (- t z) 1.0))

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5768	1629

prune171.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.4b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite181.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 544

Calls

3 calls:

101.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
23.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))
10.0ms	(/ (- y z) (+ (- t z) 1.0))

series74.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
29.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6093	12838

prune1.3s (24.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	553	5	558

Merged error: 0b

Counts

558 → 5

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
11.1b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

15.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))
7.0ms	(/ a (+ (- t z) 1.0))
5.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))

series59.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
19.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))
9.0ms	(/ a (+ (- t z) 1.0))

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5018	1252

prune131.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Merged error: 0b

Counts

108 → 5

regimes545.0ms (10.6%)

Accuracy

Total 0.3b remaining (96.1%)

Threshold costs 0.3b (96.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	163	13
1	163	13

end0.0ms (0%)

sample614.0ms (11.9%)

Algorithm

1×

intervals

Results

329.0ms	7996×	body	80	valid
19.0ms	477×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze1.1s (20.8%)

sample24.0ms (0.5%)

simplify61.0ms (1.2%)

prune8.0ms (0.2%)

localize10.0ms (0.2%)

rewrite101.0ms (2%)

series99.0ms (1.9%)

simplify53.0ms (1%)

prune307.0ms (6%)

localize10.0ms (0.2%)

rewrite31.0ms (0.6%)

series74.0ms (1.4%)

simplify42.0ms (0.8%)

prune171.0ms (3.3%)

localize11.0ms (0.2%)

rewrite181.0ms (3.5%)

series74.0ms (1.4%)

simplify105.0ms (2%)

prune1.3s (24.9%)

localize10.0ms (0.2%)

rewrite31.0ms (0.6%)

series59.0ms (1.2%)

simplify41.0ms (0.8%)

prune131.0ms (2.5%)

regimes545.0ms (10.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample614.0ms (11.9%)

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