Details

analyze993.0ms (27.1%)

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify108.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

prune12.0ms (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: 1.0b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.5b	(* y (/ (- z t) (- z a)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

13.0ms	(* y (/ (- z t) (- z a)))
8.0ms	(/ (- z t) (- z a))
3.0ms	(+ x (* y (/ (- z t) (- z a))))

series53.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (/ (- z t) (- z a))))
16.0ms	(* y (/ (- z t) (- z a)))
9.0ms	(/ (- z t) (- z a))

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune163.0ms (4.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))

series104.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z a))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	580
1	4940	580

prune106.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.5b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite77.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
51×	`times-frac`
28×	`distribute-lft-out--`
20×	`add-cube-cbrt`
18×	`associate-r`
16×	`difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--`
5×	`sub-neg` `associate-/r*` `div-inv`
4×	`associate-*r/`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `frac-sub` `sub-div`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

31.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))
30.0ms	(- (/ z (- z a)) (/ t (- z a)))
6.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
5.0ms	(/ z (- z a))

series79.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
29.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))
16.0ms	(- (/ z (- z a)) (/ t (- z a)))
5.0ms	(/ z (- z a))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	1554
1	4970	1554

prune148.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.9b	(/ 1 (/ (- z a) (- z t)))
1.5b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite75.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

29.0ms	(* y (/ 1 (/ (- z a) (- z t))))
12.0ms	(/ 1 (/ (- z a) (- z t)))
8.0ms	(/ (- z a) (- z t))
3.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))

series71.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
21.0ms	(* y (/ 1 (/ (- z a) (- z t))))
12.0ms	(/ 1 (/ (- z a) (- z t)))
8.0ms	(/ (- z a) (- z t))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5121	4569

prune402.0ms (11%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	350	5	355

Merged error: 0b

Counts

355 → 5

regimes336.0ms (9.2%)

Accuracy

Total 0.5b remaining (97%)

Threshold costs 0.5b (97%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	33
1	37	33

end0.0ms (0%)

sample604.0ms (16.5%)

Algorithm

1×

intervals

Results

300.0ms	7997×	body	80	valid
26.0ms	742×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze993.0ms (27.1%)

sample23.0ms (0.6%)

simplify108.0ms (2.9%)

prune12.0ms (0.3%)

localize8.0ms (0.2%)

rewrite29.0ms (0.8%)

series53.0ms (1.5%)

simplify41.0ms (1.1%)

prune163.0ms (4.5%)

localize17.0ms (0.5%)

rewrite13.0ms (0.4%)

series104.0ms (2.8%)

simplify57.0ms (1.6%)

prune106.0ms (2.9%)

localize11.0ms (0.3%)

rewrite77.0ms (2.1%)

series79.0ms (2.2%)

simplify57.0ms (1.6%)

prune148.0ms (4%)

localize10.0ms (0.3%)

rewrite75.0ms (2%)

series71.0ms (1.9%)

simplify65.0ms (1.8%)

prune402.0ms (11%)

regimes336.0ms (9.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample604.0ms (16.5%)

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