Details

analyze220.0ms (5.8%)

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)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238` `*-un-lft-identity_binary64_3147`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`
1×	`distribute-lft-out_binary64_3098` `associate-+l+_binary64_3080`

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)

series138.0ms (3.6%)

Error

Counts

2 → 21

Calls

2 calls:

78.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
47.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune38.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 481 to 112 computations (76.7% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

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)))
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))

rewrite159.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.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 (34%)

Error

Counts

4 → 44

Calls

4 calls:

558.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y x) (+.f64 y x))) (cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x))))
247.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
185.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))
184.0ms	(cbrt.f64 (+.f64 (*.f64 y x) (+.f64 y x)))

Compiler

Compiled 6824 to 4843 computations (29% saved)

simplify128.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	3941
1	4953	3941

prune232.0ms (6.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Compiler

Compiled 4818 to 1840 computations (61.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x)))) y)
0.0b	(sqrt.f64 (+.f64 x (*.f64 y x)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 y x)))
0.1b	(.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x))))

rewrite131.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`sqrt-prod_binary64_3163`
30×	`add-sqr-sqrt_binary64_3169`
21×	`pow1_binary64_3208`
20×	`*-un-lft-identity_binary64_3147`
16×	`sqrt-div_binary64_3164`
14×	`add-cube-cbrt_binary64_3182`
10×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `swap-sqr_binary64_3114`
9×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
8×	`associate-l_binary64_3088` `associate-r_binary64_3087`
6×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `distribute-rgt1-in_binary64_3103` `distribute-rgt-out_binary64_3100`
5×	`pow-prod-up_binary64_3217`
4×	`rem-sqrt-square_binary64_3160` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 109

Calls

4 calls:

13.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x)))) y)
12.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y x)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 y x)))

Compiler

Compiled 2695 to 453 computations (83.2% saved)

series282.0ms (7.4%)

Error

Counts

4 → 32

Calls

4 calls:

95.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x)))) y)
69.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 y x))) (sqrt.f64 (+.f64 x (*.f64 y x))))
55.0ms	(sqrt.f64 (+.f64 x (*.f64 y x)))
44.0ms	(sqrt.f64 (+.f64 x (*.f64 y x)))

Compiler

Compiled 1184 to 758 computations (36% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5132	1724

prune158.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Error

Counts

144 → 3

Compiler

Compiled 2184 to 960 computations (56% saved)

regimes80.0ms (2.1%)

Accuracy

Total 0.0b remaining (86.2%)

Threshold costs 0.0b (86.2%)

Compiler

Compiled 477 to 276 computations (42.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (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%)

sample703.0ms (18.6%)

Algorithm

1×

intervals

Results

204.0ms	7999×	body	128	valid
2.0ms	66×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 168 to 99 computations (41.1% saved)

Details

analyze220.0ms (5.8%)

sample21.0ms (0.6%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite27.0ms (0.7%)

series138.0ms (3.6%)

simplify49.0ms (1.3%)

prune38.0ms (1%)

localize18.0ms (0.5%)

rewrite159.0ms (4.2%)

series1.3s (34%)

simplify128.0ms (3.4%)

prune232.0ms (6.1%)

localize7.0ms (0.2%)

rewrite131.0ms (3.5%)

series282.0ms (7.4%)

simplify80.0ms (2.1%)

prune158.0ms (4.2%)

regimes80.0ms (2.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample703.0ms (18.6%)

Profiling