Details

analyze23.0ms (0.6%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify159.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	64	10
1	64	10

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14568`
22×	`add-sqr-sqrt_binary64_14589`
20×	`times-frac_binary64_14574`
12×	`add-cube-cbrt_binary64_14600`
6×	`distribute-lft-out_binary64_14521`
5×	`difference-of-squares_binary64_14537` `distribute-lft-out--_binary64_14522` `associate-/r*_binary64_14514`
4×	`associate-/l*_binary64_14515`
3×	`add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
2×	`associate-/r/_binary64_14516` `associate-/l/_binary64_14517`
1×	`pow1_binary64_14626` `div-exp_binary64_14616` `flip3-+_binary64_14571` `frac-2neg_binary64_14579` `clear-num_binary64_14567` `div-inv_binary64_14565` `flip-+_binary64_14542` `add-log-exp_binary64_14604` `flip3--_binary64_14572` `cbrt-undiv_binary64_14599` `flip--_binary64_14543`

Counts

1 → 45

Calls

1 calls:

9.0ms

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

series84.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5123	802

prune31.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

Compiler

Compiled 687 to 152 computations (77.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64_14568`
100×	`times-frac_binary64_14574`
98×	`add-sqr-sqrt_binary64_14589`
58×	`cbrt-prod_binary64_14596`
56×	`add-cube-cbrt_binary64_14600`
52×	`unpow-prod-down_binary64_14644` `cube-prod_binary64_14593`
26×	`distribute-lft-out_binary64_14521`
21×	`difference-of-squares_binary64_14537` `distribute-lft-out--_binary64_14522`
10×	`associate-/r/_binary64_14516`
8×	`add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
5×	`div-inv_binary64_14565` `associate-/r*_binary64_14514` `flip3--_binary64_14572` `flip--_binary64_14543`
4×	`associate-/l*_binary64_14515` `pow1_binary64_14626`
3×	`pow-unpow_binary64_14642` `add-log-exp_binary64_14604`
2×	`div-exp_binary64_14616` `associate-/l/_binary64_14517` `rem-cube-cbrt_binary64_14590` `cube-div_binary64_14594` `cube-mult_binary64_14595` `sqr-pow_binary64_14540` `unpow3_binary64_14631` `cbrt-undiv_binary64_14599` `pow-exp_binary64_14633`
1×	`flip3-+_binary64_14571` `pow-to-exp_binary64_14634` `frac-2neg_binary64_14579` `clear-num_binary64_14567` `pow-pow_binary64_14637` `cbrt-div_binary64_14597` `flip-+_binary64_14542` `rem-cbrt-cube_binary64_14591` `pow1/3_binary64_14647`

Counts

3 → 185

Calls

3 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series307.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

132.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
96.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
78.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5410	3741

prune139.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	194	3	197

Merged error: 0b

Counts

197 → 3

Compiler

Compiled 3141 to 1007 computations (67.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)
0.0b	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite121.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

324×	`*-un-lft-identity_binary64_14568`
246×	`unpow-prod-down_binary64_14644` `cube-prod_binary64_14593`
220×	`times-frac_binary64_14574`
212×	`add-sqr-sqrt_binary64_14589`
122×	`cbrt-prod_binary64_14596` `add-cube-cbrt_binary64_14600`
56×	`distribute-lft-out_binary64_14521`
45×	`difference-of-squares_binary64_14537` `distribute-lft-out--_binary64_14522`
22×	`associate-/r/_binary64_14516`
13×	`add-exp-log_binary64_14603`
11×	`div-inv_binary64_14565` `flip3--_binary64_14572` `flip--_binary64_14543`
10×	`add-cbrt-cube_binary64_14601`
8×	`pow-exp_binary64_14633`
7×	`cube-mult_binary64_14595` `sqr-pow_binary64_14540` `unpow3_binary64_14631`
6×	`pow-unpow_binary64_14642`
5×	`pow1_binary64_14626` `cube-div_binary64_14594` `associate-/r*_binary64_14514`
4×	`associate-/l*_binary64_14515` `add-log-exp_binary64_14604`
3×	`div-exp_binary64_14616` `pow-to-exp_binary64_14634` `rem-cube-cbrt_binary64_14590`
2×	`associate-/l/_binary64_14517` `pow-pow_binary64_14637` `cbrt-undiv_binary64_14599`
1×	`flip3-+_binary64_14571` `frac-2neg_binary64_14579` `clear-num_binary64_14567` `cbrt-div_binary64_14597` `flip-+_binary64_14542` `rem-cbrt-cube_binary64_14591` `pow1/3_binary64_14647`

Counts

4 → 386

Calls

4 calls:

28.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
20.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)
12.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series504.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
145.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)
119.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
76.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify146.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

398 → 398

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5153	9232

prune423.0ms (11.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	398	3	401

Merged error: 0b

Counts

401 → 3

Compiler

Compiled 7925 to 3511 computations (55.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_14596`
35×	`*-un-lft-identity_binary64_14568`
23×	`add-sqr-sqrt_binary64_14589`
18×	`cbrt-div_binary64_14597`
15×	`add-cube-cbrt_binary64_14600`
11×	`pow1_binary64_14626`
9×	`flip3-+_binary64_14571` `swap-sqr_binary64_14535` `flip-+_binary64_14542` `distribute-lft-out_binary64_14521` `pow1/3_binary64_14647`
7×	`associate-l_binary64_14511` `associate-r_binary64_14510`
6×	`add-exp-log_binary64_14603`
4×	`add-cbrt-cube_binary64_14601` `frac-times_binary64_14578` `add-log-exp_binary64_14604` `unswap-sqr_binary64_14536`
2×	`pow-prod-up_binary64_14635` `pow-sqr_binary64_14541` `associate-l/_binary64_14513` `pow-prod-down_binary64_14636` `associate-r/_binary64_14512`
1×	`pow-plus_binary64_14628` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow2_binary64_14646`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series926.0ms (24.6%)

Counts

4 → 12

Calls

4 calls:

267.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
223.0ms	(cbrt.f64 (+.f64 x y))
223.0ms	(cbrt.f64 (+.f64 x y))
213.0ms	(cbrt.f64 (+.f64 x y))

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4877	1542
1	4877	1542

prune88.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

Compiler

Compiled 2503 to 562 computations (77.5% saved)

regimes28.0ms (0.7%)

Compiler: Compiled 132 to 90 computations (31.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample413.0ms (11%)

Algorithm

1×

intervals

Results

189.0ms

8000×

body

128

valid

Compiler

Compiled 66 to 45 computations (31.8% saved)

Details

analyze23.0ms (0.6%)

sample16.0ms (0.4%)

simplify159.0ms (4.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite13.0ms (0.4%)

series84.0ms (2.2%)

simplify64.0ms (1.7%)

prune31.0ms (0.8%)

localize9.0ms (0.2%)

rewrite55.0ms (1.5%)

series307.0ms (8.2%)

simplify67.0ms (1.8%)

prune139.0ms (3.7%)

localize9.0ms (0.2%)

rewrite121.0ms (3.2%)

series504.0ms (13.4%)

simplify146.0ms (3.9%)

prune423.0ms (11.2%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series926.0ms (24.6%)

simplify85.0ms (2.3%)

prune88.0ms (2.3%)

regimes28.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample413.0ms (11%)

Profiling