Details

analyze320.0ms (16.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune9.0ms (0.5%)

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 → 2

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

9.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify41.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4956	267
1	4956	267

prune44.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0.0b

Counts

30 → 2

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ d3 5.0) 32.0))
0.0b	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

8.0ms	(* d1 (+ (+ d3 5.0) 32.0))
6.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

series13.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))
5.0ms	(* d1 (+ (+ d3 5.0) 32.0))

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5166	412

prune70.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ (+ d3 5.0) 32.0))) (cbrt (* d1 (+ (+ d3 5.0) 32.0))))
0.6b	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
0.6b	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
0.6b	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))

rewrite28.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* d1 (+ (+ d3 5.0) 32.0))) (cbrt (* d1 (+ (+ d3 5.0) 32.0))))
6.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
6.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
6.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))

series82.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* d1 (+ (+ d3 5.0) 32.0))) (cbrt (* d1 (+ (+ d3 5.0) 32.0))))
20.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
18.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))
18.0ms	(cbrt (* d1 (+ (+ d3 5.0) 32.0)))

simplify68.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5107	1286

prune227.0ms (11.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1))))
0.1b	(* (+ (+ d3 5.0) 32.0) (sqrt d1))
0.2b	(* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1)))

rewrite31.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`associate-l`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 60

Calls

3 calls:

12.0ms	(* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1)))
9.0ms	(* (+ (+ d3 5.0) 32.0) (sqrt d1))
8.0ms	(+ (* d1 d2) (* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1))))

series26.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* d1 d2) (* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1))))
6.0ms	(* (sqrt d1) (* (+ (+ d3 5.0) 32.0) (sqrt d1)))
6.0ms	(* (+ (+ d3 5.0) 32.0) (sqrt d1))

simplify59.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4931	728
1	4931	728

prune96.0ms (5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes195.0ms (10.2%)

Accuracy

Total 0.0b remaining (53.2%)

Threshold costs 0.0b (53.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms (0%)

sample494.0ms (25.8%)

Algorithm

1×

intervals

Results

288.0ms	7956×	body	80	valid
24.0ms	694×	body	80	invalid
2.0ms	19×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	160	valid

Details

analyze320.0ms (16.7%)

sample22.0ms (1.1%)

simplify4.0ms (0.2%)

prune9.0ms (0.5%)

localize6.0ms (0.3%)

rewrite10.0ms (0.5%)

series8.0ms (0.4%)

simplify41.0ms (2.1%)

prune44.0ms (2.3%)

localize7.0ms (0.4%)

rewrite15.0ms (0.8%)

series13.0ms (0.7%)

simplify18.0ms (1%)

prune70.0ms (3.7%)

localize12.0ms (0.6%)

rewrite28.0ms (1.5%)

series82.0ms (4.3%)

simplify68.0ms (3.6%)

prune227.0ms (11.9%)

localize9.0ms (0.5%)

rewrite31.0ms (1.6%)

series26.0ms (1.4%)

simplify59.0ms (3.1%)

prune96.0ms (5%)

regimes195.0ms (10.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample494.0ms (25.8%)

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