Details

analyze891.0ms (20%)

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	41×	body	80	invalid
2.0ms	39×	body	80	nan

simplify209.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (207.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune14.0ms (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: 0.1b

Counts

2 → 2

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(- (* (- a 0.5) b) (* z (log t)))
0.0b	(* (- a 0.5) b)
0.2b	(+ z (- (* (- a 0.5) b) (* z (log t))))
0.3b	(* z (log t))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
2×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `sum-log` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3-+` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

7.0ms	(- (* (- a 0.5) b) (* z (log t)))
7.0ms	(* z (log t))
7.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
6.0ms	(* (- a 0.5) b)

series37.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ z (- (* (- a 0.5) b) (* z (log t))))
12.0ms	(- (* (- a 0.5) b) (* z (log t)))
7.0ms	(* z (log t))
4.0ms	(* (- a 0.5) b)

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4953	875
1	4953	875

prune222.0ms (5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.2b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
6.0ms	(* (- a 0.5) b)
6.0ms	(* z (log t))

series76.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
12.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))
4.0ms	(* (- a 0.5) b)

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4998	1309
1	4998	1309

prune169.0ms (3.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(* z (* -2 (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* z (* -2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series81.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(* z (log (cbrt t)))
21.0ms	(cbrt t)
20.0ms	(cbrt t)
19.0ms	(* z (* -2 (log (cbrt t))))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5021	903

prune193.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(* z (* (log (cbrt t)) 2))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
5.0ms	(* z (* (log (cbrt t)) 2))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series84.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
21.0ms	(* z (log (cbrt t)))
21.0ms	(cbrt t)
20.0ms	(* z (* (log (cbrt t)) 2))

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4887	524
1	4887	524

prune125.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes919.0ms (20.6%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	25
1	62	25

end0.0ms (0%)

sample1.0s (22.5%)

Algorithm

1×

intervals

Results

509.0ms	7999×	body	80	valid
71.0ms	1161×	body	80	invalid
63.0ms	1197×	body	80	nan
0.0ms	1×	body	640	valid

Details

analyze891.0ms (20%)

sample36.0ms (0.8%)

simplify209.0ms (4.7%)

prune14.0ms (0.3%)

localize13.0ms (0.3%)

rewrite28.0ms (0.6%)

series37.0ms (0.8%)

simplify75.0ms (1.7%)

prune222.0ms (5%)

localize22.0ms (0.5%)

rewrite33.0ms (0.7%)

series76.0ms (1.7%)

simplify40.0ms (0.9%)

prune169.0ms (3.8%)

localize20.0ms (0.4%)

rewrite16.0ms (0.4%)

series81.0ms (1.8%)

simplify63.0ms (1.4%)

prune193.0ms (4.3%)

localize19.0ms (0.4%)

rewrite14.0ms (0.3%)

series84.0ms (1.9%)

simplify57.0ms (1.3%)

prune125.0ms (2.8%)

regimes919.0ms (20.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.0s (22.5%)

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