Details

analyze722.0ms (15.2%)

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample55.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	223×	body	80	invalid
7.0ms	123×	body	80	nan

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5189	17

prune12.0ms (0.3%)

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: 0.2b

Counts

2 → 1

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `sqrt-prod` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
4.0ms	(/ (* t t) 2.0)

series17.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
3.0ms	(/ (* t t) 2.0)

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5789	436

prune135.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 0.0b

Counts

49 → 9

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 68

Calls

3 calls:

9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
4.0ms	(/ (* t t) 2.0)

series29.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))
10.0ms	(* (- (* x 0.5) y) (sqrt z))
3.0ms	(/ (* t t) 2.0)

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	736
1	4972	736

prune178.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0b

Counts

86 → 8

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log`
32×	`pow1`
27×	`add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r`
10×	`associate-l`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-*l/`
4×	`add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

17.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
14.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
9.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
4.0ms	(/ (* t t) 2.0)

series71.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
18.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
13.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
3.0ms	(/ (* t t) 2.0)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4961	1343
1	4961	1343

prune342.0ms (7.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
0.4b	(* (sqrt z) (sqrt 2.0))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
9×	`associate-l`
7×	`associate-r`
6×	`pow-prod-down`
5×	`prod-exp` `cbrt-unprod`
4×	`unswap-sqr`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `associate-l/` `-commutative`
1×	`flip3--` `frac-2neg` `sqrt-unprod` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

3 → 71

Calls

3 calls:

9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))
4.0ms	(/ (* t t) 2.0)

series23.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
5.0ms	(* (sqrt z) (sqrt 2.0))
3.0ms	(/ (* t t) 2.0)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4954	689
1	4954	689

prune157.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	3	4
Picked	1	0	1
Done	0	3	3
Total	81	7	88

Merged error: 0b

Counts

88 → 7

regimes999.0ms (21%)

Accuracy

Total 0.3b remaining (88.4%)

Threshold costs 0.3b (88.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17

end0.0ms (0%)

sample1.6s (33.1%)

Algorithm

1×

intervals

Results

464.0ms	8000×	body	80	valid
355.0ms	6153×	body	80	invalid
266.0ms	4544×	body	80	nan

Details

analyze722.0ms (15.2%)

sample55.0ms (1.2%)

simplify91.0ms (1.9%)

prune12.0ms (0.3%)

localize13.0ms (0.3%)

rewrite14.0ms (0.3%)

series17.0ms (0.3%)

simplify28.0ms (0.6%)

prune135.0ms (2.8%)

localize13.0ms (0.3%)

rewrite23.0ms (0.5%)

series29.0ms (0.6%)

simplify44.0ms (0.9%)

prune178.0ms (3.8%)

localize16.0ms (0.3%)

rewrite47.0ms (1%)

series71.0ms (1.5%)

simplify55.0ms (1.2%)

prune342.0ms (7.2%)

localize16.0ms (0.3%)

rewrite21.0ms (0.4%)

series23.0ms (0.5%)

simplify55.0ms (1.2%)

prune157.0ms (3.3%)

regimes999.0ms (21%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.6s (33.1%)

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