Details

analyze128.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_8262`
12×	`times-frac_binary64_8268`
10×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284`
4×	`distribute-lft-out_binary64_8213` `associate-/r*_binary64_8206`
3×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `associate-/l*_binary64_8207`
2×	`associate-/r/_binary64_8208`
1×	`pow1_binary64_8323` `div-exp_binary64_8313` `add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `div-inv_binary64_8259` `flip3-+_binary64_8265` `flip-+_binary64_8236`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 404 to 116 computations (71.3% saved)

series87.0ms (3.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

69.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 600 to 439 computations (26.8% saved)

simplify69.0ms (3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4962	794
1	4962	794

prune35.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 641 to 202 computations (68.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.2b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite111.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`times-frac_binary64_8268`
92×	`*-un-lft-identity_binary64_8262`
60×	`add-cube-cbrt_binary64_8297` `add-sqr-sqrt_binary64_8284`
19×	`associate-/r*_binary64_8206`
16×	`distribute-lft-out_binary64_8213`
15×	`add-exp-log_binary64_8300`
9×	`add-cbrt-cube_binary64_8298`
8×	`div-exp_binary64_8313`
7×	`associate-/l*_binary64_8207`
6×	`div-inv_binary64_8259`
4×	`cbrt-undiv_binary64_8296`
3×	`pow1_binary64_8323`
2×	`1-exp_binary64_8306` `rec-exp_binary64_8312` `add-log-exp_binary64_8301` `frac-2neg_binary64_8273` `clear-num_binary64_8261` `associate-/l/_binary64_8209`
1×	`inv-pow_binary64_8347` `pow-flip_binary64_8336` `associate-/r/_binary64_8208` `flip3-+_binary64_8265` `flip-+_binary64_8236`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
6.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 1985 to 779 computations (60.8% saved)

series162.0ms (7.2%)

Error

Counts

2 → 36

Calls

2 calls:

74.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
68.0ms	(/.f64 (+.f64 x y) x)

Compiler

Compiled 774 to 592 computations (23.5% saved)

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5036	2365

prune94.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Error

Counts

160 → 3

Compiler

Compiled 1972 to 727 computations (63.1% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite105.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_8293`
35×	`*-un-lft-identity_binary64_8262`
23×	`add-sqr-sqrt_binary64_8284`
18×	`cbrt-div_binary64_8294`
15×	`add-cube-cbrt_binary64_8297`
11×	`pow1_binary64_8323`
9×	`pow1/3_binary64_8344` `flip3-+_binary64_8265` `flip-+_binary64_8236` `distribute-lft-out_binary64_8213` `swap-sqr_binary64_8229`
7×	`associate-l_binary64_8203` `associate-r_binary64_8202`
6×	`add-exp-log_binary64_8300`
4×	`add-log-exp_binary64_8301` `add-cbrt-cube_binary64_8298` `frac-times_binary64_8272` `unswap-sqr_binary64_8230`
2×	`pow-prod-down_binary64_8333` `pow-prod-up_binary64_8332` `pow-sqr_binary64_8235` `associate-l/_binary64_8205` `associate-r/_binary64_8204`
1×	`pow2_binary64_8343` `pow-plus_binary64_8325` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `*-commutative_binary64_8193`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

Compiler

Compiled 2453 to 589 computations (76% saved)

series563.0ms (24.8%)

Error

Counts

4 → 60

Calls

4 calls:

142.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
118.0ms	(cbrt.f64 (+.f64 x y))
112.0ms	(cbrt.f64 (+.f64 x y))
109.0ms	(cbrt.f64 (+.f64 x y))

Compiler

Compiled 4206 to 2952 computations (29.8% saved)

simplify117.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4931	2586
1	4931	2586

prune135.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 3780 to 1360 computations (64% saved)

regimes43.0ms (1.9%)

Accuracy

Total 0.0b remaining (77.9%)

Threshold costs 0.0b (77.9%)

Compiler

Compiled 245 to 178 computations (27.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample469.0ms (20.7%)

Algorithm

1×

intervals

Results

149.0ms

8000×

body

128

valid

Compiler

Compiled 88 to 65 computations (26.1% saved)

Details

analyze128.0ms (5.7%)

sample17.0ms (0.7%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite28.0ms (1.2%)

series87.0ms (3.8%)

simplify69.0ms (3%)

prune35.0ms (1.6%)

localize4.0ms (0.2%)

rewrite111.0ms (4.9%)

series162.0ms (7.2%)

simplify80.0ms (3.5%)

prune94.0ms (4.1%)

localize8.0ms (0.4%)

rewrite105.0ms (4.6%)

series563.0ms (24.8%)

simplify117.0ms (5.1%)

prune135.0ms (6%)

regimes43.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample469.0ms (20.7%)

Profiling