Details

analyze312.0ms (8.1%)

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 (1.3%)

Algorithm

1×

intervals

Results

11.0ms	179×	body	80	valid
9.0ms	26×	body	640	valid
8.0ms	13×	body	1280	valid
6.0ms	28×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	10×	body	80	nan
0.0ms	2×	body	80	invalid

simplify186.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	5378	13

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.4b

Counts

2 → 1

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.2b	(log (- 1.0 y))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series21.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4948	662
1	4948	662

prune167.0ms (4.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	7	80

Merged error: 0.1b

Counts

80 → 7

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
0.0b	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
0.3b	(* x (log y))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

12.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
6.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
5.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
4.0ms	(* x (log y))

series81.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
24.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
14.0ms	(* z (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
7.0ms	(* x (log y))

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5177	1805

prune238.0ms (6.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	94	8	102

Merged error: 0.1b

Counts

102 → 8

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms (0.3%)

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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series90.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt z) (cbrt z))
23.0ms	(cbrt z)
22.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune186.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.1b

Counts

93 → 8

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series144.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (log y)) (cbrt (log y)))
36.0ms	(cbrt (log y))
34.0ms	(cbrt (log y))
34.0ms	(cbrt (log y))

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4922	500
1	4922	500

prune168.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.1b

Counts

101 → 8

regimes308.0ms (8%)

Accuracy

Total 0.4b remaining (82.2%)

Threshold costs 0.4b (82.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	32
1	63	32

end0.0ms (0%)

sample1.6s (41.4%)

Algorithm

1×

intervals

Results

552.0ms	5534×	body	80	valid
314.0ms	902×	body	640	valid
249.0ms	379×	body	1280	valid
155.0ms	727×	body	320	valid
63.0ms	458×	body	160	valid
18.0ms	265×	body	80	nan
3.0ms	41×	body	80	invalid

Details

analyze312.0ms (8.1%)

sample49.0ms (1.3%)

simplify186.0ms (4.8%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series21.0ms (0.5%)

simplify43.0ms (1.1%)

prune167.0ms (4.3%)

localize16.0ms (0.4%)

rewrite29.0ms (0.8%)

series81.0ms (2.1%)

simplify27.0ms (0.7%)

prune238.0ms (6.2%)

localize20.0ms (0.5%)

rewrite10.0ms (0.3%)

series90.0ms (2.3%)

simplify45.0ms (1.2%)

prune186.0ms (4.8%)

localize21.0ms (0.5%)

rewrite12.0ms (0.3%)

series144.0ms (3.7%)

simplify52.0ms (1.4%)

prune168.0ms (4.3%)

regimes308.0ms (8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.6s (41.4%)

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