Details

analyze334.0ms (8.3%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample49.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	176×	body	80	valid
11.0ms	31×	body	640	valid
9.0ms	14×	body	1280	valid
4.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	7×	body	80	nan

simplify224.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	5378	13

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: 8.8b

Counts

2 → 1

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
6.6b	(log (- 1.0 y))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 85

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
5.0ms	(log (- 1.0 y))
4.0ms	(* x (log y))

series36.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4957	979
1	4957	979

prune210.0ms (5.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.1b

Counts

98 → 7

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))
0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))
0.2b	(* x (log y))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

10.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))
7.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))
4.0ms	(* x (log y))

series46.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0)))))))
16.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (* y y) (* 1.0 1.0))))))
7.0ms	(* x (log y))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4928	1471
1	4928	1471

prune261.0ms (6.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	91	6	97

Merged error: 0.1b

Counts

97 → 6

localize44.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series163.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt y) (cbrt y))
41.0ms	(cbrt y)
39.0ms	(cbrt y)
39.0ms	(cbrt y)

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune192.0ms (4.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0.1b

Counts

91 → 6

localize32.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (pow y 1/3))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `pow1/3` `add-cbrt-cube`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* (cbrt y) (pow y 1/3))
2.0ms	(pow y 1/3)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt y) (pow y 1/3))
22.0ms	(cbrt y)
21.0ms	(cbrt y)
20.0ms	(pow y 1/3)

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4852	332
1	4852	332

prune186.0ms (4.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.1b

Counts

93 → 7

regimes300.0ms (7.5%)

Accuracy

Total 0.3b remaining (73.5%)

Threshold costs 0.3b (73.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	113	39
1	113	39

end0.0ms (0%)

sample1.5s (37.6%)

Algorithm

1×

intervals

Results

378.0ms	5496×	body	80	valid
335.0ms	909×	body	640	valid
294.0ms	422×	body	1280	valid
175.0ms	745×	body	320	valid
61.0ms	428×	body	160	valid
18.0ms	259×	body	80	nan
2.0ms	26×	body	80	invalid

Details

analyze334.0ms (8.3%)

sample49.0ms (1.2%)

simplify224.0ms (5.6%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite24.0ms (0.6%)

series36.0ms (0.9%)

simplify51.0ms (1.3%)

prune210.0ms (5.2%)

localize16.0ms (0.4%)

rewrite23.0ms (0.6%)

series46.0ms (1.2%)

simplify69.0ms (1.7%)

prune261.0ms (6.5%)

localize44.0ms (1.1%)

rewrite20.0ms (0.5%)

series163.0ms (4.1%)

simplify45.0ms (1.1%)

prune192.0ms (4.8%)

localize32.0ms (0.8%)

rewrite12.0ms (0.3%)

series90.0ms (2.2%)

simplify57.0ms (1.4%)

prune186.0ms (4.6%)

regimes300.0ms (7.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (37.6%)

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