Details

analyze164.0ms (11.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	14
1	156	14
0	2	2
1	2	2

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
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	254×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify12.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 200 (-.f64 x y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_8284`
7×	`*-un-lft-identity_binary64_8262`
6×	`cancel-sign-sub-inv_binary64_8228`
5×	`associate-r_binary64_8202` `add-cube-cbrt_binary64_8297`
4×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211`
3×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `associate-l_binary64_8203`
2×	`associate-*r/_binary64_8204` `sub-neg_binary64_8255`
1×	`prod-exp_binary64_8311` `flip3--_binary64_8266` `unswap-sqr_binary64_8230` `distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `flip--_binary64_8237` `*-commutative_binary64_8193` `add-log-exp_binary64_8301`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 200 (-.f64 x y))

series20.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 200 (-.f64 x y))

simplify38.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4959	298
1	4959	298

prune27.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Compiler

Compiled 335 to 204 computations (39.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 200 x) (.f64 y -200))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8301`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `pow1_binary64_8323` `+-commutative_binary64_8192` `add-sqr-sqrt_binary64_8284` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `sum-log_binary64_8353` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 200 x) (*.f64 y -200))

series25.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(+.f64 (*.f64 200 x) (*.f64 y -200))

simplify68.0ms (5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4964	159
1	4964	159

prune14.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Error

Counts

18 → 4

Compiler

Compiled 175 to 118 computations (32.6% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.3b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite21.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_8284`
11×	`associate-l_binary64_8203`
9×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `*-un-lft-identity_binary64_8262`
7×	`sqrt-prod_binary64_8278` `associate-r_binary64_8202` `add-cube-cbrt_binary64_8297`
4×	`prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `associate-*l/_binary64_8205`
2×	`associate-r/_binary64_8204` `flip3--_binary64_8266` `unswap-sqr_binary64_8230` `flip--_binary64_8237` `-commutative_binary64_8193` `add-log-exp_binary64_8301`
1×	`distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231`

Counts

2 → 49

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

series82.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
34.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

simplify54.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5390	597

prune43.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Error

Counts

59 → 4

Compiler

Compiled 691 to 455 computations (34.2% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite24.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_8323` `add-exp-log_binary64_8300`
11×	`add-sqr-sqrt_binary64_8284`
9×	`prod-exp_binary64_8311` `add-cbrt-cube_binary64_8298` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333`
7×	`associate-r_binary64_8202` `*-un-lft-identity_binary64_8262`
6×	`associate-l_binary64_8203`
5×	`add-cube-cbrt_binary64_8297`
4×	`cbrt-prod_binary64_8293` `associate-*l/_binary64_8205`
2×	`associate-r/_binary64_8204` `flip3--_binary64_8266` `unswap-sqr_binary64_8230` `flip--_binary64_8237` `-commutative_binary64_8193` `add-log-exp_binary64_8301`
1×	`distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231`

Counts

2 → 50

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

series98.0ms (7.1%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
34.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

simplify51.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5116	604

prune44.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	56	4	60

Error

Counts

60 → 4

Compiler

Compiled 751 to 516 computations (31.3% saved)

regimes74.0ms (5.4%)

Accuracy

Total 0.0b remaining (96.2%)

Threshold costs 0.0b (96.2%)

Compiler

Compiled 488 to 408 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample468.0ms (34%)

Algorithm

1×

intervals

Results

148.0ms	7863×	body	128	valid
3.0ms	42×	body	2048	valid
3.0ms	52×	body	1024	valid
1.0ms	30×	body	512	valid
1.0ms	70×	body	128	invalid
0.0ms	13×	body	256	valid

Compiler

Compiled 128 to 109 computations (14.8% saved)

Details

analyze164.0ms (11.9%)

sample11.0ms (0.8%)

simplify12.0ms (0.9%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite9.0ms (0.6%)

series20.0ms (1.5%)

simplify38.0ms (2.8%)

prune27.0ms (2%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series25.0ms (1.8%)

simplify68.0ms (5%)

prune14.0ms (1%)

localize5.0ms (0.4%)

rewrite21.0ms (1.5%)

series82.0ms (5.9%)

simplify54.0ms (3.9%)

prune43.0ms (3.1%)

localize7.0ms (0.5%)

rewrite24.0ms (1.7%)

series98.0ms (7.1%)

simplify51.0ms (3.7%)

prune44.0ms (3.2%)

regimes74.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample468.0ms (34%)

Profiling