Details

analyze907.0ms (26.4%)

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%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	71×	body	80	invalid

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune13.0ms (0.4%)

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: 0.1b

Counts

2 → 2

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.5b	(/ (* y (- z t)) a)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

7.0ms	(/ (* y (- z t)) a)
6.0ms	(* y (- z t))
5.0ms	(+ x (/ (* y (- z t)) a))

series38.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (* y (- z t)) a))
13.0ms	(/ (* y (- z t)) a)
10.0ms	(* y (- z t))

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5072	574

prune101.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
0.0b	(* y (- z t))
5.6b	(* (* y (- z t)) (/ 1 a))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

10.0ms	(* (* y (- z t)) (/ 1 a))
6.0ms	(* y (- z t))
4.0ms	(+ x (* (* y (- z t)) (/ 1 a)))

series34.0ms (1%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
12.0ms	(* (* y (- z t)) (/ 1 a))
7.0ms	(* y (- z t))

simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5555	745

prune120.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.0b	(* y (- z t))
0.4b	(/ 1 (/ a (* y (- z t))))
5.5b	(/ a (* y (- z t)))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

11.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
8.0ms	(/ 1 (/ a (* y (- z t))))
6.0ms	(/ a (* y (- z t)))
6.0ms	(* y (- z t))

series48.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
12.0ms	(/ 1 (/ a (* y (- z t))))
10.0ms	(/ a (* y (- z t)))
7.0ms	(* y (- z t))

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5015	1340

prune173.0ms (5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	137	7	144

Merged error: 0.0b

Counts

144 → 7

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.3b	(/ 1 (* y (- z t)))
0.4b	(/ 1 (* a (/ 1 (* y (- z t)))))
5.9b	(* a (/ 1 (* y (- z t))))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`rec-exp` `1-exp`
15×	`*-un-lft-identity`
14×	`pow1` `associate-r`
13×	`add-cube-cbrt`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`times-frac`
8×	`associate-*r/`
6×	`associate-l` `associate-/r/` `associate-/l*`
4×	`pow-flip` `pow-prod-down` `add-log-exp`
3×	`flip3--` `flip--` `div-inv`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/r` `un-div-inv` `-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

11.0ms	(/ 1 (* a (/ 1 (* y (- z t)))))
10.0ms	(* a (/ 1 (* y (- z t))))
7.0ms	(/ 1 (* y (- z t)))
6.0ms	(* y (- z t))

series39.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (* a (/ 1 (* y (- z t)))))
11.0ms	(* a (/ 1 (* y (- z t))))
7.0ms	(* y (- z t))
6.0ms	(/ 1 (* y (- z t)))

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4893	1068
1	4893	1068

prune184.0ms (5.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	151	6	157

Merged error: 0.0b

Counts

157 → 6

regimes674.0ms (19.6%)

Accuracy

Total 0.6b remaining (96.3%)

Threshold costs 0.6b (96.3%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	45
1	39	45

end0.0ms (0%)

sample722.0ms (21%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	80	valid
93.0ms	2638×	body	80	invalid

Details

analyze907.0ms (26.4%)

sample27.0ms (0.8%)

simplify34.0ms (1%)

prune13.0ms (0.4%)

localize8.0ms (0.2%)

rewrite19.0ms (0.6%)

series38.0ms (1.1%)

simplify36.0ms (1%)

prune101.0ms (2.9%)

localize8.0ms (0.2%)

rewrite22.0ms (0.7%)

series34.0ms (1%)

simplify37.0ms (1.1%)

prune120.0ms (3.5%)

localize10.0ms (0.3%)

rewrite36.0ms (1%)

series48.0ms (1.4%)

simplify41.0ms (1.2%)

prune173.0ms (5%)

localize10.0ms (0.3%)

rewrite39.0ms (1.1%)

series39.0ms (1.1%)

simplify56.0ms (1.6%)

prune184.0ms (5.4%)

regimes674.0ms (19.6%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample722.0ms (21%)

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