Details

analyze1.1s (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample84.0ms (1.3%)

Algorithm

1×

intervals

Results

26.0ms	309×	body	80	nan
21.0ms	256×	body	80	valid
3.0ms	37×	body	80	invalid

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5223	21

prune12.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (* x (log y)) z) t)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
6.0ms	(+ (+ (* x (log y)) z) t)
5.0ms	(* x (log y))

series91.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
11.0ms	(+ (+ (* x (log y)) z) t)
10.0ms	(* x (log y))
9.0ms	(* (- b 0.5) (log c))

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5015	1405

prune207.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt y)
21.0ms	(cbrt y)
20.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
18.0ms	(* x (log (cbrt y)))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4881	844
1	4881	844

prune213.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series86.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
21.0ms	(cbrt c)
21.0ms	(cbrt c)
7.0ms	(* x (log y))

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5291	1179

prune224.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(* (- b 0.5) (* (log (cbrt c)) 3))
0.2b	(* x (log y))
0.3b	(* (log (cbrt c)) 3)
0.6b	(cbrt c)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`pow1`
14×	`*-un-lft-identity`
13×	`add-exp-log` `associate-l` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r`
6×	`log-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative`
2×	`pow1/3` `associate-*l/` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

7.0ms	(* (- b 0.5) (* (log (cbrt c)) 3))
5.0ms	(* (log (cbrt c)) 3)
4.0ms	(* x (log y))
1.0ms	(cbrt c)

series93.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (log (cbrt c)) 3)
27.0ms	(* (- b 0.5) (* (log (cbrt c)) 3))
21.0ms	(cbrt c)
7.0ms	(* x (log y))

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4997	503
1	4997	503

prune132.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	4	6
Picked	1	0	1
Done	1	1	2
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

regimes1.3s (20.6%)

Accuracy

Total 0.1b remaining (70%)

Threshold costs 0.1b (70%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	30
1	46	30

end0.0ms (0%)

sample2.3s (36.9%)

Algorithm

1×

intervals

Results

725.0ms	9860×	body	80	nan
673.0ms	7997×	body	80	valid
111.0ms	1257×	body	80	invalid
1.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

Details

analyze1.1s (17%)

sample84.0ms (1.3%)

simplify24.0ms (0.4%)

prune12.0ms (0.2%)

localize18.0ms (0.3%)

rewrite34.0ms (0.5%)

series91.0ms (1.4%)

simplify43.0ms (0.7%)

prune207.0ms (3.3%)

localize25.0ms (0.4%)

rewrite22.0ms (0.3%)

series85.0ms (1.3%)

simplify65.0ms (1%)

prune213.0ms (3.4%)

localize27.0ms (0.4%)

rewrite24.0ms (0.4%)

series86.0ms (1.4%)

simplify26.0ms (0.4%)

prune224.0ms (3.5%)

localize21.0ms (0.3%)

rewrite20.0ms (0.3%)

series93.0ms (1.5%)

simplify43.0ms (0.7%)

prune132.0ms (2.1%)

regimes1.3s (20.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.3s (36.9%)

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