Details

analyze906.0ms (26.5%)

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
33.2%	66.5%	0.2%	14

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify108.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

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: 8.9b

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	(* y (- z t))
8.9b	(/ (* y (- z t)) (- z a))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

9.0ms	(/ (* y (- z t)) (- z a))
7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))

series55.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- z a)))
21.0ms	(/ (* y (- z t)) (- z a))
7.0ms	(* y (- z t))

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5408	699

prune111.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
8.5b	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite52.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

37.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))

series104.0ms (3%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (- z a))
26.0ms	(cbrt (- z a))
26.0ms	(cbrt (- z a))
22.0ms	(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4947	2192
1	4947	2192

prune185.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	147	7	154

Merged error: 0b

Counts

154 → 7

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite31.0ms (0.9%)

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:

14.0ms	(* y (/ (- z t) (- z a)))
9.0ms	(/ (- z t) (- z a))
3.0ms	(+ x (* y (/ (- z t) (- z a))))

series57.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (* y (/ (- z t) (- z a))))
17.0ms	(* y (/ (- z t) (- z a)))
9.0ms	(/ (- z t) (- z a))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune141.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite43.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

16.0ms	(* (- z t) (/ 1 (- z a)))
13.0ms	(* y (* (- z t) (/ 1 (- z a))))
5.0ms	(/ 1 (- z a))
4.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))

series56.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
16.0ms	(* y (* (- z t) (/ 1 (- z a))))
9.0ms	(* (- z t) (/ 1 (- z a)))
4.0ms	(/ 1 (- z a))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5082	1285

prune158.0ms (4.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	142	7	149

Merged error: 0b

Counts

149 → 7

regimes535.0ms (15.7%)

Accuracy

Total 2.2b remaining (99.4%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms (0%)

sample588.0ms (17.2%)

Algorithm

1×

intervals

Results

299.0ms	8000×	body	80	valid
26.0ms	749×	body	80	invalid

Details

analyze906.0ms (26.5%)

sample25.0ms (0.7%)

simplify108.0ms (3.2%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite24.0ms (0.7%)

series55.0ms (1.6%)

simplify42.0ms (1.2%)

prune111.0ms (3.3%)

localize12.0ms (0.3%)

rewrite52.0ms (1.5%)

series104.0ms (3%)

simplify61.0ms (1.8%)

prune185.0ms (5.4%)

localize11.0ms (0.3%)

rewrite31.0ms (0.9%)

series57.0ms (1.7%)

simplify43.0ms (1.3%)

prune141.0ms (4.1%)

localize10.0ms (0.3%)

rewrite43.0ms (1.3%)

series56.0ms (1.6%)

simplify43.0ms (1.3%)

prune158.0ms (4.6%)

regimes535.0ms (15.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample588.0ms (17.2%)

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