Details

analyze67.0ms (2.1%)

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
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)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	254×	body	128	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify172.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	138	7
1	138	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_10421`
7×	`*-un-lft-identity_binary64_10399`
6×	`cancel-sign-sub-inv_binary64_10365`
5×	`add-cube-cbrt_binary64_10434` `associate-r_binary64_10339`
4×	`distribute-rgt-in_binary64_10349` `distribute-lft-in_binary64_10348`
3×	`add-exp-log_binary64_10437` `pow1_binary64_10460` `add-cbrt-cube_binary64_10435` `associate-l_binary64_10340`
2×	`associate-*r/_binary64_10341` `sub-neg_binary64_10392`
1×	`*-commutative_binary64_10330` `add-log-exp_binary64_10438` `flip3--_binary64_10403` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `difference-of-squares_binary64_10368` `pow-prod-down_binary64_10470` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 500 (-.f64 x y))

series43.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(*.f64 500 (-.f64 x y))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5023	298

prune46.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

Compiler

Compiled 646 to 434 computations (32.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 500 (-.f64 x y))) (cbrt.f64 (*.f64 500 (-.f64 x y))))
0.6b	(cbrt.f64 (*.f64 500 (-.f64 x y)))
0.6b	(cbrt.f64 (*.f64 500 (-.f64 x y)))
0.6b	(cbrt.f64 (*.f64 500 (-.f64 x y)))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_10341`
18×	`cbrt-div_binary64_10431`
11×	`pow1_binary64_10460`
10×	`add-sqr-sqrt_binary64_10421`
9×	`flip3--_binary64_10403` `pow1/3_binary64_10481` `flip--_binary64_10374`
8×	`add-cube-cbrt_binary64_10434` `*-un-lft-identity_binary64_10399`
7×	`cbrt-prod_binary64_10430`
6×	`add-exp-log_binary64_10437`
4×	`add-cbrt-cube_binary64_10435` `frac-times_binary64_10409` `add-log-exp_binary64_10438` `associate-l_binary64_10340` `swap-sqr_binary64_10366` `associate-r_binary64_10339`
2×	`associate-*l/_binary64_10342` `pow-prod-up_binary64_10469` `pow-prod-down_binary64_10470` `pow-sqr_binary64_10372`
1×	`*-commutative_binary64_10330` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `pow-plus_binary64_10462` `pow2_binary64_10480`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 500 (-.f64 x y))) (cbrt.f64 (*.f64 500 (-.f64 x y))))
5.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))
5.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))
5.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))

series1.3s (40.6%)

Counts

4 → 12

Calls

4 calls:

364.0ms	(.f64 (cbrt.f64 (.f64 500 (-.f64 x y))) (cbrt.f64 (*.f64 500 (-.f64 x y))))
310.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))
300.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))
298.0ms	(cbrt.f64 (*.f64 500 (-.f64 x y)))

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5012	1440

prune106.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

Compiler

Compiled 2193 to 1267 computations (42.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 500 (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-r_binary64_10339`
15×	`add-sqr-sqrt_binary64_10421`
14×	`sqrt-div_binary64_10416`
11×	`*-un-lft-identity_binary64_10399` `sqrt-prod_binary64_10415`
10×	`associate-*r/_binary64_10341`
9×	`add-exp-log_binary64_10437` `pow1_binary64_10460` `add-cbrt-cube_binary64_10435`
7×	`add-cube-cbrt_binary64_10434` `flip3--_binary64_10403` `flip--_binary64_10374`
4×	`frac-times_binary64_10409` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `associate-l_binary64_10340` `pow-prod-down_binary64_10470`
2×	`associate-l/_binary64_10342` `-commutative_binary64_10330` `add-log-exp_binary64_10438` `unswap-sqr_binary64_10367` `difference-of-squares_binary64_10368` `distribute-lft-out--_binary64_10351`

Counts

2 → 57

Calls

2 calls:

14.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
8.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))

series122.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(*.f64 500 (sqrt.f64 (-.f64 x y)))
42.0ms	(.f64 (.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5083	927

prune48.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Merged error: 0b

Counts

67 → 4

Compiler

Compiled 1008 to 393 computations (61% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))
0.1b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.1b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.3b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_10460`
32×	`sqrt-pow1_binary64_10417`
23×	`pow-prod-down_binary64_10470`
20×	`associate-*r/_binary64_10341`
18×	`add-sqr-sqrt_binary64_10421`
16×	`sqrt-div_binary64_10416`
14×	`*-un-lft-identity_binary64_10399`
12×	`add-cube-cbrt_binary64_10434` `pow1/2_binary64_10479`
10×	`pow-prod-up_binary64_10469`
9×	`flip3--_binary64_10403` `associate-r_binary64_10339` `flip--_binary64_10374`
8×	`add-exp-log_binary64_10437` `add-cbrt-cube_binary64_10435`
7×	`associate-l_binary64_10340`
6×	`cancel-sign-sub-inv_binary64_10365` `pow-sqr_binary64_10372` `sqrt-prod_binary64_10415`
4×	`frac-times_binary64_10409` `add-log-exp_binary64_10438` `distribute-rgt-in_binary64_10349` `distribute-lft-in_binary64_10348` `swap-sqr_binary64_10366`
2×	`sub-neg_binary64_10392` `associate-l/_binary64_10342` `-commutative_binary64_10330` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448`
1×	`rem-square-sqrt_binary64_10411` `difference-of-squares_binary64_10368` `pow-plus_binary64_10462` `sqrt-unprod_binary64_10419` `pow2_binary64_10480` `distribute-lft-out--_binary64_10351`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
8.0ms	(*.f64 500 (-.f64 x y))
5.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
5.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))

series358.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
106.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
100.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
38.0ms	(*.f64 500 (-.f64 x y))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4920	1478
1	4920	1478

prune104.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	125	4	129

Merged error: 0b

Counts

129 → 4

Compiler

Compiled 1991 to 1143 computations (42.6% saved)

regimes44.0ms (1.4%)

Compiler: Compiled 216 to 168 computations (22.2% 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%)

sample379.0ms (12.1%)

Algorithm

1×

intervals

Results

153.0ms	7972×	body	128	valid
1.0ms	70×	body	128	invalid
1.0ms	11×	body	2048	valid
1.0ms	10×	body	1024	valid
0.0ms	7×	body	512	valid

Compiler

Compiled 60 to 49 computations (18.3% saved)

Details

analyze67.0ms (2.1%)

sample16.0ms (0.5%)

simplify172.0ms (5.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.3%)

series43.0ms (1.4%)

simplify53.0ms (1.7%)

prune46.0ms (1.5%)

localize7.0ms (0.2%)

rewrite30.0ms (0.9%)

series1.3s (40.6%)

simplify52.0ms (1.7%)

prune106.0ms (3.4%)

localize5.0ms (0.2%)

rewrite30.0ms (1%)

series122.0ms (3.9%)

simplify65.0ms (2.1%)

prune48.0ms (1.5%)

localize6.0ms (0.2%)

rewrite44.0ms (1.4%)

series358.0ms (11.4%)

simplify46.0ms (1.5%)

prune104.0ms (3.3%)

regimes44.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample379.0ms (12.1%)

Profiling