Details

analyze22.0ms (0.7%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify175.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	95	7
1	95	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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_10421` `cancel-sign-sub-inv_binary64_10365`
10×	`times-frac_binary64_10405` `*-un-lft-identity_binary64_10399`
8×	`add-cube-cbrt_binary64_10434`
3×	`add-log-exp_binary64_10438`
2×	`difference-of-squares_binary64_10368`
1×	`add-exp-log_binary64_10437` `sub-neg_binary64_10392` `pow1_binary64_10460` `add-cbrt-cube_binary64_10435` `flip3--_binary64_10403` `div-inv_binary64_10396` `diff-log_binary64_10491` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`

Counts

1 → 27

Calls

1 calls:

12.0ms

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

series39.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4926	268
1	4926	268

prune22.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

Compiler

Compiled 323 to 226 computations (30% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite57.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_10421`
50×	`cbrt-prod_binary64_10430`
35×	`*-un-lft-identity_binary64_10399`
18×	`cbrt-div_binary64_10431`
15×	`add-cube-cbrt_binary64_10434`
14×	`difference-of-squares_binary64_10368`
11×	`pow1_binary64_10460` `swap-sqr_binary64_10366`
9×	`flip3--_binary64_10403` `pow1/3_binary64_10481` `associate-l_binary64_10340` `associate-r_binary64_10339` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`
7×	`times-frac_binary64_10405`
6×	`add-exp-log_binary64_10437`
4×	`add-cbrt-cube_binary64_10435` `frac-times_binary64_10409` `add-log-exp_binary64_10438` `unswap-sqr_binary64_10367`
2×	`associate-r/_binary64_10341` `associate-l/_binary64_10342` `pow-prod-up_binary64_10469` `pow-prod-down_binary64_10470` `pow-sqr_binary64_10372`
1×	`*-commutative_binary64_10330` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `pow-plus_binary64_10462` `pow2_binary64_10480`

Counts

4 → 107

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (-.f64 x (/.f64 y 200))) (cbrt.f64 (-.f64 x (/.f64 y 200))))
9.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
7.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
7.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))

series931.0ms (27.4%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(*.f64 (cbrt.f64 (-.f64 x (/.f64 y 200))) (cbrt.f64 (-.f64 x (/.f64 y 200))))
228.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
221.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
221.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4872	2296
1	4872	2296

prune169.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

Compiler

Compiled 3214 to 2312 computations (28.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
0.5b	(*.f64 (cbrt.f64 (-.f64 x (/.f64 y 200))) (cbrt.f64 (-.f64 x (/.f64 y 200))))
0.5b	(cbrt.f64 (-.f64 x (/.f64 y 200)))
0.5b	(cbrt.f64 (-.f64 x (/.f64 y 200)))

rewrite60.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64_10421`
53×	`cbrt-prod_binary64_10430`
36×	`*-un-lft-identity_binary64_10399`
18×	`cbrt-div_binary64_10431`
16×	`add-cube-cbrt_binary64_10434`
14×	`difference-of-squares_binary64_10368`
11×	`pow1_binary64_10460` `swap-sqr_binary64_10366`
9×	`flip3--_binary64_10403` `pow1/3_binary64_10481` `associate-l_binary64_10340` `associate-r_binary64_10339` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`
7×	`times-frac_binary64_10405`
6×	`add-exp-log_binary64_10437` `sqrt-prod_binary64_10415`
4×	`add-cbrt-cube_binary64_10435` `frac-times_binary64_10409` `add-log-exp_binary64_10438` `unswap-sqr_binary64_10367`
2×	`associate-r/_binary64_10341` `associate-l/_binary64_10342` `pow-prod-up_binary64_10469` `sqrt-div_binary64_10416` `pow-prod-down_binary64_10470` `pow-sqr_binary64_10372`
1×	`*-commutative_binary64_10330` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `pow-plus_binary64_10462` `pow2_binary64_10480`

Counts

4 → 110

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (-.f64 x (/.f64 y 200))) (cbrt.f64 (-.f64 x (/.f64 y 200))))
8.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
7.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
7.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))

series941.0ms (27.8%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(*.f64 (cbrt.f64 (-.f64 x (/.f64 y 200))) (cbrt.f64 (-.f64 x (/.f64 y 200))))
229.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))
227.0ms	(cbrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
225.0ms	(cbrt.f64 (-.f64 x (/.f64 y 200)))

simplify112.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4837	2430
1	4837	2430

prune239.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

Compiler

Compiled 4412 to 3243 computations (26.5% saved)

regimes43.0ms (1.3%)

Compiler: Compiled 236 to 202 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample394.0ms (11.6%)

Algorithm

1×

intervals

Results

169.0ms

8000×

body

128

valid

Compiler

Compiled 65 to 57 computations (12.3% saved)

Details

analyze22.0ms (0.7%)

sample11.0ms (0.3%)

simplify175.0ms (5.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite14.0ms (0.4%)

series39.0ms (1.1%)

simplify62.0ms (1.8%)

prune22.0ms (0.7%)

localize8.0ms (0.2%)

rewrite57.0ms (1.7%)

series931.0ms (27.4%)

simplify72.0ms (2.1%)

prune169.0ms (5%)

localize12.0ms (0.3%)

rewrite60.0ms (1.8%)

series941.0ms (27.8%)

simplify112.0ms (3.3%)

prune239.0ms (7.1%)

regimes43.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample394.0ms (11.6%)

Profiling