Details

analyze64.0ms (2.4%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify172.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4246`
4×	`*-un-lft-identity_binary64_4207` `sum-log_binary64_4298`
2×	`add-sqr-sqrt_binary64_4229` `add-cbrt-cube_binary64_4243` `pow1_binary64_4268` `+-commutative_binary64_4137` `flip-+_binary64_4181` `add-exp-log_binary64_4245` `flip3-+_binary64_4210` `add-cube-cbrt_binary64_4242`
1×	`distribute-lft-out_binary64_4158` `associate-+l+_binary64_4140`

Counts

2 → 25

Calls

2 calls:

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

series77.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(+.f64 (*.f64 x y) x)
29.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify62.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4971	394
1	4971	394

prune32.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

Compiler

Compiled 600 to 188 computations (68.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_4238`
35×	`*-un-lft-identity_binary64_4207`
23×	`add-sqr-sqrt_binary64_4229`
18×	`cbrt-div_binary64_4239`
15×	`add-cube-cbrt_binary64_4242`
11×	`pow1_binary64_4268`
9×	`swap-sqr_binary64_4174` `distribute-lft-out_binary64_4158` `flip-+_binary64_4181` `flip3-+_binary64_4210` `pow1/3_binary64_4289`
7×	`associate-l_binary64_4148` `associate-r_binary64_4147`
6×	`add-exp-log_binary64_4245`
4×	`add-log-exp_binary64_4246` `add-cbrt-cube_binary64_4243` `frac-times_binary64_4217` `unswap-sqr_binary64_4175`
2×	`associate-r/_binary64_4149` `associate-l/_binary64_4150` `pow-prod-down_binary64_4278` `pow-sqr_binary64_4180` `pow-prod-up_binary64_4277`
1×	`pow-plus_binary64_4270` `cbrt-unprod_binary64_4240` `prod-exp_binary64_4256` `*-commutative_binary64_4138` `pow2_binary64_4288`

Counts

4 → 95

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series570.0ms (21.1%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
129.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
121.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
120.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4894	2532
1	4894	2532

prune113.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

Compiler

Compiled 3827 to 672 computations (82.4% saved)

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
0.5b	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_4238`
19×	`*-un-lft-identity_binary64_4207`
11×	`add-sqr-sqrt_binary64_4229` `add-cube-cbrt_binary64_4242`
10×	`unpow-prod-down_binary64_4286`
6×	`cbrt-div_binary64_4239`
5×	`pow1_binary64_4268` `add-exp-log_binary64_4245`
4×	`distribute-lft-out_binary64_4158` `add-log-exp_binary64_4246` `add-cbrt-cube_binary64_4243` `pow1/3_binary64_4289`
3×	`pow-unpow_binary64_4284` `flip-+_binary64_4181` `flip3-+_binary64_4210`
2×	`pow-pow_binary64_4279`
1×	`sqr-pow_binary64_4179` `pow-to-exp_binary64_4276` `pow-exp_binary64_4275`

Counts

4 → 67

Calls

4 calls:

8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series729.0ms (26.9%)

Counts

4 → 12

Calls

4 calls:

351.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))) 5)
127.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 y x))))
126.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
124.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

simplify132.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4861	1909
1	4861	1909

prune93.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

Compiler

Compiled 3088 to 736 computations (76.2% saved)

regimes32.0ms (1.2%)

Compiler: Compiled 207 to 105 computations (49.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample394.0ms (14.6%)

Algorithm

1×

intervals

Results

177.0ms	7997×	body	128	valid
5.0ms	83×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 78 to 42 computations (46.2% saved)

Details

analyze64.0ms (2.4%)

sample12.0ms (0.4%)

simplify172.0ms (6.3%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite13.0ms (0.5%)

series77.0ms (2.9%)

simplify62.0ms (2.3%)

prune32.0ms (1.2%)

localize10.0ms (0.4%)

rewrite42.0ms (1.5%)

series570.0ms (21.1%)

simplify97.0ms (3.6%)

prune113.0ms (4.2%)

localize20.0ms (0.8%)

rewrite31.0ms (1.1%)

series729.0ms (26.9%)

simplify132.0ms (4.9%)

prune93.0ms (3.5%)

regimes32.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample394.0ms (14.6%)

Profiling