Details

analyze36.0ms (2.3%)

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
59.3%	40.6%	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 8 to 6 computations (25% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify170.0ms (10.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	782	10
1	782	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_21561`
22×	`add-sqr-sqrt_binary64_21583`
20×	`times-frac_binary64_21567`
12×	`add-cube-cbrt_binary64_21596`
6×	`distribute-lft-out_binary64_21512`
5×	`associate-/l*_binary64_21506` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
4×	`associate-/r*_binary64_21505`
3×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
2×	`associate-/l/_binary64_21508` `associate-/r/_binary64_21507`
1×	`cbrt-undiv_binary64_21595` `div-exp_binary64_21612` `flip3--_binary64_21565` `div-sub_binary64_21566` `frac-2neg_binary64_21572` `flip-+_binary64_21535` `flip3-+_binary64_21564` `add-log-exp_binary64_21600` `div-inv_binary64_21558` `clear-num_binary64_21560` `pow1_binary64_21622` `flip--_binary64_21536`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series40.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify52.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5176	810

prune32.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 684 to 142 computations (79.2% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_21592`
37×	`add-sqr-sqrt_binary64_21583`
35×	`*-un-lft-identity_binary64_21561`
18×	`cbrt-div_binary64_21593`
15×	`add-cube-cbrt_binary64_21596`
11×	`pow1_binary64_21622`
10×	`swap-sqr_binary64_21528`
9×	`flip3--_binary64_21565` `pow1/3_binary64_21643` `distribute-lft-out--_binary64_21513` `flip--_binary64_21536`
8×	`associate-r_binary64_21501` `associate-l_binary64_21502`
7×	`difference-of-squares_binary64_21530`
6×	`add-exp-log_binary64_21599`
4×	`frac-times_binary64_21571` `add-log-exp_binary64_21600` `add-cbrt-cube_binary64_21597` `unswap-sqr_binary64_21529`
2×	`associate-l/_binary64_21504` `associate-r/_binary64_21503` `pow-sqr_binary64_21534` `pow-prod-up_binary64_21631` `pow-prod-down_binary64_21632`
1×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `*-commutative_binary64_21492` `pow-plus_binary64_21624` `pow2_binary64_21642`

Counts

4 → 101

Calls

4 calls:

15.0ms	(*.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))

series468.0ms (29.9%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
123.0ms	(cbrt.f64 (-.f64 x y))
112.0ms	(cbrt.f64 (-.f64 x y))
106.0ms	(cbrt.f64 (-.f64 x y))

simplify87.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4914	1626
1	4914	1626

prune85.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 2640 to 563 computations (78.7% saved)

regimes53.0ms (3.4%)

Accuracy

Total 0.0b remaining (72%)

Threshold costs 0.0b (72%)

Compiler

Compiled 441 to 246 computations (44.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample471.0ms (30.1%)

Algorithm

1×

intervals

Results

179.0ms

8000×

body

128

valid

Compiler

Compiled 167 to 95 computations (43.1% saved)

Details

analyze36.0ms (2.3%)

sample11.0ms (0.7%)

simplify170.0ms (10.9%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite12.0ms (0.7%)

series40.0ms (2.5%)

simplify52.0ms (3.3%)

prune32.0ms (2.1%)

localize8.0ms (0.5%)

rewrite32.0ms (2.1%)

series468.0ms (29.9%)

simplify87.0ms (5.5%)

prune85.0ms (5.5%)

regimes53.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample471.0ms (30.1%)

Profiling