Details

analyze1.5s (31.6%)

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
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample46.0ms (1%)

Algorithm

1×

intervals

Results

18.0ms	255×	body	80	valid
9.0ms	156×	body	80	invalid
0.0ms	1×	body	320	valid

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune9.0ms (0.2%)

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: 0.0b

Counts

2 → 1

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate-+l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)

series60.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4970	2369
1	4970	2369

prune221.0ms (4.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0.0b

Counts

108 → 4

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))

series34.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
7.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5152	1250

prune328.0ms (7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.7b	(cbrt a)
0.7b	(cbrt a)
0.7b	(cbrt a)

rewrite10.0ms (0.2%)

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 a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series89.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt a) (cbrt a))
23.0ms	(cbrt a)
21.0ms	(cbrt a)
21.0ms	(cbrt a)

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune135.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt y) (sqrt 1.0))
0.0b	(* (- (+ y t) 2.0) b)
0.1b	(* z (- (sqrt y) (sqrt 1.0)))
0.1b	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))
9.0ms	(* z (- (sqrt y) (sqrt 1.0)))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(- (sqrt y) (sqrt 1.0))

series45.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ (sqrt y) (sqrt 1.0)) (* z (- (sqrt y) (sqrt 1.0))))
8.0ms	(* z (- (sqrt y) (sqrt 1.0)))
6.0ms	(* (- (+ y t) 2.0) b)
3.0ms	(- (sqrt y) (sqrt 1.0))

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5023	1161

prune233.0ms (5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

regimes454.0ms (9.7%)

Accuracy

Total 0.1b remaining (90%)

Threshold costs 0.1b (90%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	285	32
1	285	32

end0.0ms (0%)

sample1.1s (24%)

Algorithm

1×

intervals

Results

462.0ms	7997×	body	80	valid
245.0ms	4470×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.5s (31.6%)

sample46.0ms (1%)

simplify56.0ms (1.2%)

prune9.0ms (0.2%)

localize15.0ms (0.3%)

rewrite38.0ms (0.8%)

series60.0ms (1.3%)

simplify52.0ms (1.1%)

prune221.0ms (4.7%)

localize18.0ms (0.4%)

rewrite23.0ms (0.5%)

series34.0ms (0.7%)

simplify34.0ms (0.7%)

prune328.0ms (7%)

localize18.0ms (0.4%)

rewrite10.0ms (0.2%)

series89.0ms (1.9%)

simplify45.0ms (1%)

prune135.0ms (2.9%)

localize19.0ms (0.4%)

rewrite42.0ms (0.9%)

series45.0ms (0.9%)

simplify57.0ms (1.2%)

prune233.0ms (5%)

regimes454.0ms (9.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24%)

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