Details

analyze514.0ms (17.9%)

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
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms	183×	body	128	valid
4.0ms	33×	body	1024	valid
2.0ms	15×	body	2048	valid
2.0ms	19×	body	512	valid
1.0ms	41×	body	128	invalid
1.0ms	11×	body	1024	invalid
1.0ms	7×	body	512	invalid
0.0ms	6×	body	256	valid
0.0ms	2×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify224.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (217.0ms)

Iter	Nodes	Cost
0	6507	7

prune5.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series64.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify37.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5017	314

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0b

Counts

35 → 4

Compiler

Compiled 509 to 201 computations (60.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

series66.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

66.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5255	170

prune17.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	16	4	20

Merged error: 0b

Counts

20 → 4

Compiler

Compiled 240 to 103 computations (57.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 y x) (.f64 y z))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

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

series71.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5107	179

prune11.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Merged error: 0b

Counts

20 → 4

Compiler

Compiled 184 to 59 computations (67.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
0.2b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
2.7b	(sqrt.f64 (*.f64 y (-.f64 x z)))
2.7b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite47.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64`
12×	`pow1/2_binary64` `add-cube-cbrt_binary64`
10×	`pow-prod-up_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`cancel-sign-sub-inv_binary64` `pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
8.0ms	(*.f64 y (-.f64 x z))
7.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

series510.0ms (17.8%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
100.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
99.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
64.0ms	(*.f64 y (-.f64 x z))

simplify76.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4930	1345
1	4930	1345

prune82.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0b

Counts

129 → 4

Compiler

Compiled 1938 to 455 computations (76.5% saved)

regimes31.0ms (1.1%)

Compiler: Compiled 120 to 99 computations (17.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample883.0ms (30.8%)

Algorithm

1×

intervals

Results

199.0ms	5795×	body	128	valid
108.0ms	863×	body	1024	valid
76.0ms	499×	body	2048	valid
48.0ms	528×	body	512	valid
47.0ms	1358×	body	128	invalid
31.0ms	334×	body	512	invalid
25.0ms	206×	body	1024	invalid
21.0ms	315×	body	256	valid
13.0ms	213×	body	256	invalid

Compiler

Compiled 64 to 50 computations (21.9% saved)

Details

analyze514.0ms (17.9%)

sample29.0ms (1%)

simplify224.0ms (7.8%)

prune5.0ms (0.2%)

localize4.0ms (0.1%)

rewrite10.0ms (0.3%)

series64.0ms (2.2%)

simplify37.0ms (1.3%)

prune32.0ms (1.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series66.0ms (2.3%)

simplify72.0ms (2.5%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series71.0ms (2.5%)

simplify56.0ms (1.9%)

prune11.0ms (0.4%)

localize6.0ms (0.2%)

rewrite47.0ms (1.6%)

series510.0ms (17.8%)

simplify76.0ms (2.7%)

prune82.0ms (2.9%)

regimes31.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample883.0ms (30.8%)

Profiling