Details

analyze60.0ms (3.2%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify26.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	250	10
1	250	10

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 31

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series76.0ms (4%)

Counts

1 → 3

Calls

1 calls:

76.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify61.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4906	390
1	4906	390

prune59.0ms (3.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Merged error: 0.0b

Counts

35 → 5

Compiler

Compiled 878 to 554 computations (36.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))
0.2b	(.f64 (.f64 x y) (neg.f64 y))

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`flip3-+_binary64` `neg-mul-1_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

9.0ms	(.f64 (.f64 x y) (neg.f64 y))
5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))

series149.0ms (7.9%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 x y) (neg.f64 y)))
51.0ms	(.f64 (.f64 x y) (neg.f64 y))

simplify64.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4884	495
1	4884	495

prune34.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

Compiler

Compiled 655 to 204 computations (68.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
6.4b	(.f64 x (-.f64 y (.f64 y y)))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 40

Calls

2 calls:

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

series148.0ms (7.8%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(.f64 x (-.f64 y (.f64 y y)))
63.0ms	(-.f64 y (*.f64 y y))

simplify61.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	529

prune30.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

Compiler

Compiled 643 to 195 computations (69.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (cbrt.f64 (-.f64 y (.f64 y y)))))
7.0b	(cbrt.f64 (-.f64 y (*.f64 y y)))
7.0b	(cbrt.f64 (-.f64 y (*.f64 y y)))
7.0b	(cbrt.f64 (-.f64 y (*.f64 y y)))

rewrite32.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
15×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-out--_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (cbrt.f64 (-.f64 y (.f64 y y)))))
5.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))

series408.0ms (21.6%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 y y))) (cbrt.f64 (-.f64 y (.f64 y y)))))
68.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))
67.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))
62.0ms	(cbrt.f64 (-.f64 y (*.f64 y y)))

simplify53.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4972	1706
1	4972	1706

prune80.0ms (4.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

Compiler

Compiled 2518 to 593 computations (76.4% saved)

regimes39.0ms (2%)

Compiler: Compiled 231 to 158 computations (31.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample425.0ms (22.6%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	128	valid
4.0ms	175×	body	128	invalid

Compiler

Compiled 86 to 61 computations (29.1% saved)

Details

analyze60.0ms (3.2%)

sample12.0ms (0.6%)

simplify26.0ms (1.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.6%)

series76.0ms (4%)

simplify61.0ms (3.2%)

prune59.0ms (3.1%)

localize5.0ms (0.3%)

rewrite16.0ms (0.9%)

series149.0ms (7.9%)

simplify64.0ms (3.4%)

prune34.0ms (1.8%)

localize5.0ms (0.2%)

rewrite13.0ms (0.7%)

series148.0ms (7.8%)

simplify61.0ms (3.3%)

prune30.0ms (1.6%)

localize8.0ms (0.4%)

rewrite32.0ms (1.7%)

series408.0ms (21.6%)

simplify53.0ms (2.8%)

prune80.0ms (4.2%)

regimes39.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample425.0ms (22.6%)

Profiling