Details

analyze677.0ms (24.4%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample27.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	100×	body	80	invalid

simplify101.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune7.0ms (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: 0.0b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

9.0ms	(* (- y z) (- t x))
4.0ms	(+ x (* (- y z) (- t x)))

series25.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5066	573

prune83.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) (neg x))
0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite32.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `neg-mul-1` `associate-+r+`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
8.0ms	(* (- y z) (neg x))
6.0ms	(* (- y z) t)

series43.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(* (- y z) t)
7.0ms	(* (- y z) (neg x))

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5213	889

prune115.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
1.9b	(- (* y y) (* z z))
5.5b	(* (- t x) (- (* y y) (* z z)))
19.2b	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

12.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))
9.0ms	(* (- t x) (- (* y y) (* z z)))
7.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
4.0ms	(- (* y y) (* z z))

series130.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (/ (* (- t x) (- (* y y) (* z z))) (+ y z)))
38.0ms	(/ (* (- t x) (- (* y y) (* z z))) (+ y z))
23.0ms	(* (- t x) (- (* y y) (* z z)))
6.0ms	(- (* y y) (* z z))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5008	1339

prune126.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite58.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac`
179×	`*-un-lft-identity`
177×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
26×	`associate-/r*`
16×	`add-exp-log`
15×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`flip3--` `div-exp` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 205

Calls

3 calls:

30.0ms	(+ x (/ (- t x) (/ 1 (- y z))))
12.0ms	(/ (- t x) (/ 1 (- y z)))
5.0ms	(/ 1 (- y z))

series33.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (- t x) (/ 1 (- y z))))
10.0ms	(/ (- t x) (/ 1 (- y z)))
8.0ms	(/ 1 (- y z))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5277	2992

prune239.0ms (8.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	214	3	217

Merged error: 0b

Counts

217 → 3

regimes252.0ms (9.1%)

Accuracy

Total 0.0b remaining (58.6%)

Threshold costs 0.0b (58.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms (0%)

sample543.0ms (19.6%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	80	valid
69.0ms	2619×	body	80	invalid

Details

analyze677.0ms (24.4%)

sample27.0ms (1%)

simplify101.0ms (3.6%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite14.0ms (0.5%)

series25.0ms (0.9%)

simplify37.0ms (1.3%)

prune83.0ms (3%)

localize8.0ms (0.3%)

rewrite32.0ms (1.1%)

series43.0ms (1.5%)

simplify42.0ms (1.5%)

prune115.0ms (4.2%)

localize11.0ms (0.4%)

rewrite35.0ms (1.3%)

series130.0ms (4.7%)

simplify60.0ms (2.1%)

prune126.0ms (4.5%)

localize8.0ms (0.3%)

rewrite58.0ms (2.1%)

series33.0ms (1.2%)

simplify58.0ms (2.1%)

prune239.0ms (8.6%)

regimes252.0ms (9.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample543.0ms (19.6%)

Profiling