Details

analyze321.0ms (15.1%)

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	247×	body	80	valid
1.0ms	26×	body	80	invalid
0.0ms	5×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune8.0ms (0.4%)

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: 0.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

series14.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

simplify39.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5099	356

prune63.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* x z))
0.0b	(+ (+ (* x y) (* x z)) (* z 5.0))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))
4.0ms	(+ (* x y) (* x z))

series16.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))
7.0ms	(+ (* x y) (* x z))

simplify41.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5522	312

prune45.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

2.9b	(* x (* x (* (+ y z) (+ y z))))
3.0b	(- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0))))
10.2b	(* x (* (+ y z) (+ y z)))
26.8b	(/ (- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))

rewrite68.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3-+` `flip-+`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times` `associate--l+`
6×	`associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

24.0ms	(/ (- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))
16.0ms	(- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0))))
13.0ms	(* x (* x (* (+ y z) (+ y z))))
11.0ms	(* x (* (+ y z) (+ y z)))

series86.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))
21.0ms	(- (* x (* x (* (+ y z) (+ y z)))) (* z (* z (* 5.0 5.0))))
9.0ms	(* x (* x (* (+ y z) (+ y z))))
9.0ms	(* x (* (+ y z) (+ y z)))

simplify53.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5010	2681

prune214.0ms (10.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	131	4	135

Merged error: 0.0b

Counts

135 → 4

localize20.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b	(* (* x (+ y z)) (+ y z))
2.9b	(* x (* (* x (+ y z)) (+ y z)))
3.0b	(- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0))))
26.8b	(/ (- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))

rewrite58.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`flip3-+` `flip-+`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times`
6×	`add-log-exp`
5×	`associate-r`
4×	`associate-l` `associate-*l/` `associate--l+`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

19.0ms	(/ (- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))
14.0ms	(- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0))))
12.0ms	(* x (* (* x (+ y z)) (+ y z)))
9.0ms	(* (* x (+ y z)) (+ y z))

series86.0ms (4%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0)))) (+ (* x y) (* z (- x 5.0))))
21.0ms	(- (* x (* (* x (+ y z)) (+ y z))) (* z (* z (* 5.0 5.0))))
9.0ms	(* x (* (* x (+ y z)) (+ y z)))
9.0ms	(* (* x (+ y z)) (+ y z))

simplify58.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5108	2557

prune191.0ms (9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0.0b

Counts

125 → 4

regimes229.0ms (10.8%)

Accuracy

Total 0.0b remaining (44.1%)

Threshold costs 0.0b (44.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	11
1	14	11

end0.0ms (0%)

sample431.0ms (20.4%)

Algorithm

1×

intervals

Results

205.0ms	7679×	body	80	valid
18.0ms	721×	body	80	invalid
12.0ms	104×	body	1280	valid
11.0ms	117×	body	640	valid
8.0ms	74×	body	320	valid
1.0ms	26×	body	160	valid

Details

analyze321.0ms (15.1%)

sample17.0ms (0.8%)

simplify3.0ms (0.2%)

prune8.0ms (0.4%)

localize6.0ms (0.3%)

rewrite13.0ms (0.6%)

series14.0ms (0.7%)

simplify39.0ms (1.8%)

prune63.0ms (3%)

localize8.0ms (0.4%)

rewrite11.0ms (0.5%)

series16.0ms (0.7%)

simplify41.0ms (1.9%)

prune45.0ms (2.1%)

localize17.0ms (0.8%)

rewrite68.0ms (3.2%)

series86.0ms (4.1%)

simplify53.0ms (2.5%)

prune214.0ms (10.1%)

localize20.0ms (1%)

rewrite58.0ms (2.7%)

series86.0ms (4%)

simplify58.0ms (2.7%)

prune191.0ms (9%)

regimes229.0ms (10.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample431.0ms (20.4%)

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