Details

analyze718.0ms (22.5%)

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
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	100×	body	80	invalid

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

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: 5.6b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

5.3b	(* (* y 4.0) (- (* z z) t))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `sub-neg` `-un-lft-identity` `associate-r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 23

Calls

1 calls:

8.0ms

(* (* y 4.0) (- (* z z) t))

series13.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (* y 4.0) (- (* z z) t))

simplify45.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5057	254

prune72.0ms (2.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	18	8	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	8	27

Merged error: 1.5b

Counts

27 → 8

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
9.5b	(* (* y 4.0) (* z z))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`+-commutative` `flip3-+` `associate-r` `associate-l` `unsub-neg` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`

Counts

2 → 35

Calls

2 calls:

8.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms	(* (* y 4.0) (* z z))

series22.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms	(* (* y 4.0) (* z z))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4971	369
1	4971	369

prune78.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.1b	(* (* (* y 4.0) z) z)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
1×	`+-commutative` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
6.0ms	(* (* (* y 4.0) z) z)

series21.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms	(* (* (* y 4.0) z) z)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5004	356

prune83.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	37	8	45

Merged error: 0.0b

Counts

45 → 8

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* (* y 4.0) z))) (cbrt (* z (* (* y 4.0) z))))
23.6b	(cbrt (* z (* (* y 4.0) z)))
23.6b	(cbrt (* z (* (* y 4.0) z)))
23.6b	(cbrt (* z (* (* y 4.0) z)))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* z (* (* y 4.0) z))) (cbrt (* z (* (* y 4.0) z))))
5.0ms	(cbrt (* z (* (* y 4.0) z)))
5.0ms	(cbrt (* z (* (* y 4.0) z)))
5.0ms	(cbrt (* z (* (* y 4.0) z)))

series93.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* z (* (* y 4.0) z))) (cbrt (* z (* (* y 4.0) z))))
22.0ms	(cbrt (* z (* (* y 4.0) z)))
21.0ms	(cbrt (* z (* (* y 4.0) z)))
21.0ms	(cbrt (* z (* (* y 4.0) z)))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4921	635
1	4921	635

prune163.0ms (5.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

regimes801.0ms (25.2%)

Accuracy

Total 0.1b remaining (60.4%)

Threshold costs 0.1b (60.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	234	17
1	234	17

end0.0ms (0%)

sample709.0ms (22.3%)

Algorithm

1×

intervals

Results

308.0ms	8000×	body	80	valid
112.0ms	3026×	body	80	invalid

Details

analyze718.0ms (22.5%)

sample30.0ms (0.9%)

simplify33.0ms (1%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite9.0ms (0.3%)

series13.0ms (0.4%)

simplify45.0ms (1.4%)

prune72.0ms (2.3%)

localize11.0ms (0.3%)

rewrite16.0ms (0.5%)

series22.0ms (0.7%)

simplify55.0ms (1.7%)

prune78.0ms (2.4%)

localize10.0ms (0.3%)

rewrite15.0ms (0.5%)

series21.0ms (0.7%)

simplify76.0ms (2.4%)

prune83.0ms (2.6%)

localize15.0ms (0.5%)

rewrite22.0ms (0.7%)

series93.0ms (2.9%)

simplify53.0ms (1.7%)

prune163.0ms (5.1%)

regimes801.0ms (25.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample709.0ms (22.3%)

Profiling