Details

analyze1.7s (29.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample66.0ms (1.1%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	80	valid
13.0ms	148×	body	80	nan

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5545	33

prune19.0ms (0.3%)

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: 3.0b

Counts

2 → 2

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ t a)) t)
0.2b	(/ 2.0 (* t 3.0))
1.8b	(* z (/ (sqrt (+ t a)) t))
2.7b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
19×	`associate-*r/`
16×	`add-exp-log` `add-cbrt-cube`
14×	`frac-add`
10×	`associate-/l*`
8×	`frac-times` `flip3--` `flip--`
7×	`distribute-lft-out`
6×	`pow1` `frac-sub` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/r*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`sub-neg` `associate-+r+` `frac-2neg` `sqrt-div` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

16.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))
12.0ms	(* z (/ (sqrt (+ t a)) t))
6.0ms	(/ (sqrt (+ t a)) t)
4.0ms	(/ 2.0 (* t 3.0))

series84.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))
17.0ms	(* z (/ (sqrt (+ t a)) t))
12.0ms	(/ (sqrt (+ t a)) t)
2.0ms	(/ 2.0 (* t 3.0))

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	2716
1	4991	2716

prune377.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	149	3	152

Merged error: 0.5b

Counts

152 → 3

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x (* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))))
0.0b	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b	(* c (+ a 0.8333333333333334))
0.9b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
14×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
4×	`unpow-prod-down` `prod-exp` `associate--l+` `unswap-sqr`
3×	`unpow-prod-up` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-/r` `associate-/l*`
2×	`sub-neg` `flip3-+` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out` `pow-sub`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
6.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))
6.0ms	(* c (+ a 0.8333333333333334))
4.0ms	(/ x (+ x (* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))))

series87.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ x (+ x (* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))))
32.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
8.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))
5.0ms	(* c (+ a 0.8333333333333334))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4994	1622
1	4994	1622

prune223.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* c 0.8333333333333334) (* a (- c b)))
0.0b	(* a (- c b))
0.7b	(log (pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)))
1.0b	(pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`unpow-prod-down`
8×	`pow-unpow`
7×	`pow1` `add-exp-log` `log-prod`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`sub-neg` `pow-pow`
3×	`exp-prod` `rem-log-exp` `associate-l` `sqr-pow`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`+-commutative` `flip3--` `flip3-+` `exp-sum` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

6.0ms	(* a (- c b))
6.0ms	(pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0))
5.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))
2.0ms	(log (pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)))

series111.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(log (pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0)))
46.0ms	(pow (exp y) (pow (exp (+ (* c 0.8333333333333334) (* a (- c b)))) 2.0))
8.0ms	(+ (* c 0.8333333333333334) (* a (- c b)))
7.0ms	(* a (- c b))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5030	1213

prune205.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0b

Counts

3 → 3

regimes649.0ms (11.2%)

Accuracy

Total 3.1b remaining (89.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	33
1	77	33

end0.0ms (0%)

sample1.8s (32%)

Algorithm

1×

intervals

Results

798.0ms	8000×	body	80	valid
473.0ms	5101×	body	80	nan

Details

analyze1.7s (29.8%)

sample66.0ms (1.1%)

simplify31.0ms (0.5%)

prune19.0ms (0.3%)

localize25.0ms (0.4%)

rewrite44.0ms (0.8%)

series84.0ms (1.5%)

simplify55.0ms (1%)

prune377.0ms (6.5%)

localize15.0ms (0.3%)

rewrite26.0ms (0.5%)

series87.0ms (1.5%)

simplify66.0ms (1.1%)

prune223.0ms (3.9%)

localize19.0ms (0.3%)

rewrite22.0ms (0.4%)

series111.0ms (1.9%)

simplify70.0ms (1.2%)

prune205.0ms (3.6%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify3.0ms (0.1%)

prune1.0ms (0%)

regimes649.0ms (11.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (32%)

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