Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample16.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify37.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	634	7
1	634	7

prune8.0ms (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: 8.3b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite21.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

12.0ms	(- (/ x0 (- 1.0 x1)) x0)
8.0ms	(/ x0 (- 1.0 x1))

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ x0 (- 1.0 x1)) x0)
5.0ms	(/ x0 (- 1.0 x1))

simplify41.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5110	586

prune77.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 6.7b

Counts

58 → 2

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(+ x0 (/ x0 (- 1.0 x1)))
0.5b	(* (- 1.0 x1) (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.0b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite40.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `associate-/r*`
4×	`frac-times`
3×	`sub-neg` `associate-/l*`
2×	`associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

14.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)
9.0ms	(* (- 1.0 x1) (- 1.0 x1))
9.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))

series25.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)
6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
2.0ms	(* (- 1.0 x1) (- 1.0 x1))

simplify44.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4961	1202
1	4961	1202

prune196.0ms (11.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	2	120

Merged error: 5.2b

Counts

120 → 2

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* x1 (- x1 2.0))
0.5b	(+ x0 (/ x0 (- 1.0 x1)))
1.0b	(/ x0 (- 1.0 x1))
6.0b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite31.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`difference-of-squares`
6×	`pow1` `distribute-lft-out--`
5×	`associate-r` `associate-/r*`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `associate-/l*`
2×	`associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

9.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)
9.0ms	(+ x0 (/ x0 (- 1.0 x1)))
6.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))

series33.0ms (2%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)
8.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
4.0ms	(* x1 (- x1 2.0))

simplify48.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	1016
1	4982	1016

prune148.0ms (8.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 4.2b

Counts

101 → 2

localize16.0ms (1%)

Local error

Found 4 expressions with local error:

0.5b	(+ x0 (/ x0 (- 1.0 x1)))
1.0b	(/ x0 (- 1.0 x1))
4.8b	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
6.0b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite36.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
17×	`times-frac`
16×	`add-cube-cbrt`
8×	`add-log-exp` `difference-of-squares`
7×	`log-pow`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1` `associate-/r*`
4×	`log-prod`
3×	`associate-/l*`
2×	`sub-neg` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `exp-sum` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

11.0ms	(+ x0 (/ x0 (- 1.0 x1)))
9.0ms	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
9.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)
5.0ms	(/ x0 (- 1.0 x1))

series45.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)
17.0ms	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))

simplify56.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4991	1142
1	4991	1142

prune178.0ms (10.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 3.2b

Counts

97 → 2

regimes57.0ms (3.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

bsearch11.0ms (0.7%)

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	70
1	64	70

end0.0ms (0%)

sample448.0ms (27.1%)

Algorithm

1×

intervals

Results

210.0ms	8000×	pre	80	true
157.0ms	8000×	body	80	valid

Details

analyze3.0ms (0.2%)

sample16.0ms (1%)

simplify37.0ms (2.2%)

prune8.0ms (0.5%)

localize4.0ms (0.3%)

rewrite21.0ms (1.3%)

series12.0ms (0.7%)

simplify41.0ms (2.5%)

prune77.0ms (4.6%)

localize11.0ms (0.6%)

rewrite40.0ms (2.4%)

series25.0ms (1.5%)

simplify44.0ms (2.7%)

prune196.0ms (11.8%)

localize12.0ms (0.7%)

rewrite31.0ms (1.9%)

series33.0ms (2%)

simplify48.0ms (2.9%)

prune148.0ms (8.9%)

localize16.0ms (1%)

rewrite36.0ms (2.2%)

series45.0ms (2.7%)

simplify56.0ms (3.4%)

prune178.0ms (10.7%)

regimes57.0ms (3.4%)

bsearch11.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample448.0ms (27.1%)

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