Details

analyze283.0ms (6.6%)

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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify127.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

prune2.0ms (0.1%)

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: 4.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
3.9b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_18514`
9×	`associate-l_binary64_18433` `*-un-lft-identity_binary64_18492`
6×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-cube-cbrt_binary64_18527` `associate-r_binary64_18432`
2×	`distribute-rgt-in_binary64_18442` `associate-r/_binary64_18434` `flip--_binary64_18467` `unswap-sqr_binary64_18460` `sub-neg_binary64_18485` `-commutative_binary64_18423` `flip3--_binary64_18496` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `cancel-sign-sub-inv_binary64_18458` `pow-prod-down_binary64_18563` `difference-of-squares_binary64_18461` `distribute-lft-in_binary64_18441` `associate-*l/_binary64_18435`
1×	`distribute-lft-out--_binary64_18444`

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series199.0ms (4.7%)

Counts

2 → 24

Calls

2 calls:

137.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
61.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 355 to 307 computations (13.5% saved)

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5023	805

prune76.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	59	12	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	12	72

Merged error: 3.8b

Counts

72 → 12

Compiler

Compiled 1054 to 722 computations (31.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
0.0b	(-.f64 (*.f64 y z) z)
3.9b	(.f64 x (-.f64 (.f64 y z) z))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cancel-sign-sub-inv_binary64_18458`
12×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
10×	`add-cube-cbrt_binary64_18527`
8×	`distribute-rgt-in_binary64_18442` `associate-+r+_binary64_18424` `distribute-lft-in_binary64_18441`
7×	`add-log-exp_binary64_18531`
5×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `sub-neg_binary64_18485`
4×	`associate-r_binary64_18432`
3×	`associate-l_binary64_18433`
2×	`associate-*r/_binary64_18434` `flip--_binary64_18467` `flip3--_binary64_18496` `distribute-rgt-out--_binary64_18446`
1×	`flip-+_binary64_18466` `+-commutative_binary64_18422` `diff-log_binary64_18584` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423` `sum-log_binary64_18583` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `flip3-+_binary64_18495` `pow-prod-down_binary64_18563`

Counts

3 → 63

Calls

3 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.0ms	(-.f64 (*.f64 y z) z)

series334.0ms (7.8%)

Counts

3 → 36

Calls

3 calls:

158.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
120.0ms	(.f64 x (-.f64 (.f64 y z) z))
56.0ms	(-.f64 (*.f64 y z) z)

Compiler

Compiled 554 to 444 computations (19.9% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5057	1156

prune67.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	8	3	11
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

Compiler

Compiled 1305 to 342 computations (73.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
2.8b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_18458`
11×	`add-sqr-sqrt_binary64_18514`
10×	`*-un-lft-identity_binary64_18492`
8×	`distribute-rgt-in_binary64_18442` `associate-+r+_binary64_18424` `distribute-lft-in_binary64_18441`
7×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-cube-cbrt_binary64_18527` `associate-r_binary64_18432`
4×	`sub-neg_binary64_18485` `add-log-exp_binary64_18531`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `pow-prod-down_binary64_18563`
2×	`associate-*r/_binary64_18434` `difference-of-squares_binary64_18461`
1×	`flip-+_binary64_18466` `+-commutative_binary64_18422` `difference-of-sqr-1_binary64_18462` `flip--_binary64_18467` `distribute-lft-out--_binary64_18444` `associate-l_binary64_18433` `*-commutative_binary64_18423` `sum-log_binary64_18583` `flip3--_binary64_18496` `flip3-+_binary64_18495`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 (.f64 x z) (-.f64 y 1))
4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

series275.0ms (6.4%)

Counts

2 → 27

Calls

2 calls:

143.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
132.0ms	(.f64 (.f64 x z) (-.f64 y 1))

Compiler

Compiled 425 to 339 computations (20.2% saved)

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	960

prune58.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	74	10	84

Merged error: 0b

Counts

84 → 10

Compiler

Compiled 1127 to 550 computations (51.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(cbrt.f64 (-.f64 y 1))
0.4b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
2.5b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite60.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-div_binary64_18524`
42×	`associate-*r/_binary64_18434`
35×	`flip--_binary64_18467` `flip3--_binary64_18496`
34×	`add-exp-log_binary64_18530` `pow1_binary64_18553`
32×	`frac-times_binary64_18502`
21×	`add-cbrt-cube_binary64_18528` `cbrt-prod_binary64_18523` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `pow-prod-down_binary64_18563`
20×	`add-sqr-sqrt_binary64_18514`
17×	`*-un-lft-identity_binary64_18492`
16×	`associate-*l/_binary64_18435`
11×	`associate-r_binary64_18432`
8×	`add-cube-cbrt_binary64_18527`
6×	`difference-of-squares_binary64_18461`
4×	`add-log-exp_binary64_18531`
3×	`difference-of-sqr-1_binary64_18462` `distribute-lft-out--_binary64_18444`
2×	`pow1/3_binary64_18574` `associate-l_binary64_18433` `*-commutative_binary64_18423`

Counts

4 → 124

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
15.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
3.0ms	(cbrt.f64 (-.f64 y 1))
3.0ms	(cbrt.f64 (-.f64 y 1))

series653.0ms (15.3%)

Counts

4 → 30

Calls

4 calls:

440.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
162.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
27.0ms	(cbrt.f64 (-.f64 y 1))
24.0ms	(cbrt.f64 (-.f64 y 1))

Compiler

Compiled 1018 to 873 computations (14.2% saved)

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5086	2995

prune177.0ms (4.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	154	10	164

Merged error: 0b

Counts

164 → 10

Compiler

Compiled 3567 to 2308 computations (35.3% saved)

regimes573.0ms (13.4%)

Compiler: Compiled 4804 to 3890 computations (19% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	485	93
1	485	93

end0.0ms (0%)

sample1.0s (23.9%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
19.0ms	675×	body	128	invalid

Compiler

Compiled 686 to 531 computations (22.6% saved)

Details

analyze283.0ms (6.6%)

sample15.0ms (0.4%)

simplify127.0ms (3%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series199.0ms (4.7%)

simplify42.0ms (1%)

prune76.0ms (1.8%)

localize6.0ms (0.1%)

rewrite19.0ms (0.4%)

series334.0ms (7.8%)

simplify70.0ms (1.6%)

prune67.0ms (1.6%)

localize6.0ms (0.1%)

rewrite16.0ms (0.4%)

series275.0ms (6.4%)

simplify66.0ms (1.5%)

prune58.0ms (1.4%)

localize10.0ms (0.2%)

rewrite60.0ms (1.4%)

series653.0ms (15.3%)

simplify72.0ms (1.7%)

prune177.0ms (4.1%)

regimes573.0ms (13.4%)

bsearch2.0ms (0%)

simplify16.0ms (0.4%)

end0.0ms (0%)

sample1.0s (23.9%)

Profiling