Details

analyze193.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	20
1	45	20
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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_3527`
4×	`sum-log_binary64_3579` `*-un-lft-identity_binary64_3488`
2×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`
1×	`distribute-lft-out_binary64_3439` `associate-+l+_binary64_3421`

Counts

2 → 25

Calls

2 calls:

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

Compiler

Compiled 363 to 90 computations (75.2% saved)

series129.0ms (2.9%)

Error

Counts

2 → 21

Calls

2 calls:

74.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
44.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune26.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

0.0b

Counts

47 → 2

Compiler

Compiled 466 to 105 computations (77.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite129.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570` `flip3-+_binary64_3491` `flip-+_binary64_3462`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461` `associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 87

Calls

4 calls:

22.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))

Compiler

Compiled 3392 to 339 computations (90% saved)

series1.3s (29.4%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

533.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))
207.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
202.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
194.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))

Compiler

Compiled 10065 to 7239 computations (28.1% saved)

simplify150.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4955	6096
1	4955	6096

prune250.0ms (5.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Error

Counts

151 → 3

Compiler

Compiled 6532 to 2772 computations (57.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))) (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))))
0.5b	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
11.2b	(.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))
26.3b	(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2)))

rewrite128.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_3526`
16×	`add-sqr-sqrt_binary64_3510`
15×	`associate-r_binary64_3428`
12×	`*-un-lft-identity_binary64_3488`
10×	`add-cube-cbrt_binary64_3523` `prod-exp_binary64_3537`
9×	`add-cbrt-cube_binary64_3524` `cbrt-prod_binary64_3519`
6×	`pow1_binary64_3549` `unswap-sqr_binary64_3456`
5×	`unpow-prod-down_binary64_3567` `associate-l_binary64_3429`
4×	`pow1/3_binary64_3570` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `cbrt-div_binary64_3520`
3×	`pow-prod-down_binary64_3559`
2×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `unpow2_binary64_3553` `sqr-pow_binary64_3460` `-commutative_binary64_3419` `flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `distribute-lft-out_binary64_3439`

Counts

4 → 79

Calls

4 calls:

13.0ms	(.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))
12.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))) (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))))
8.0ms	(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))

Compiler

Compiled 2252 to 951 computations (57.8% saved)

series1.0s (22.4%)

Error

Counts

4 → 47

Calls

4 calls:

417.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))) (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))))
226.0ms	(cbrt.f64 (.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2)))
141.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
130.0ms	(.f64 (.f64 x x) (pow.f64 (+.f64 1 y) 2))

Compiler

Compiled 5644 to 4487 computations (20.5% saved)

simplify117.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4973	3843
1	4973	3843

prune171.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 3778 to 2112 computations (44.1% saved)

regimes93.0ms (2.1%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 825 to 459 computations (44.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

Remove

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample640.0ms (14.2%)

Algorithm

1×

intervals

Results

187.0ms	7999×	body	128	valid
2.0ms	88×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 284 to 160 computations (43.7% saved)

Details

analyze193.0ms (4.3%)

sample20.0ms (0.4%)

simplify9.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite29.0ms (0.6%)

series129.0ms (2.9%)

simplify56.0ms (1.2%)

prune26.0ms (0.6%)

localize9.0ms (0.2%)

rewrite129.0ms (2.8%)

series1.3s (29.4%)

simplify150.0ms (3.3%)

prune250.0ms (5.5%)

localize12.0ms (0.3%)

rewrite128.0ms (2.8%)

series1.0s (22.4%)

simplify117.0ms (2.6%)

prune171.0ms (3.8%)

regimes93.0ms (2.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample640.0ms (14.2%)

Profiling