Details

analyze168.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	22	84
0	3	3
1	3	3

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
93.6%	6.2%	0.1%	8
96.7%	3.1%	0.1%	9
98.3%	1.6%	0.1%	10
99.1%	0.8%	0.1%	11
99.5%	0.4%	0.1%	12
99.7%	0.2%	0.1%	13
99.8%	0.1%	0.1%	14

Symmetry

(sort x y z)

Compiler

Compiled 15 to 12 computations (20% saved)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

prune3.0ms (0%)

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

38.1b

Counts

2 → 1

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
0.1b	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3)
35.4b	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3))

rewrite145.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

38.0b

Rules

22×	`add-sqr-sqrt_binary64_21583`
19×	`add-cube-cbrt_binary64_21596` `times-frac_binary64_21567` `*-un-lft-identity_binary64_21561`
13×	`sqrt-prod_binary64_21577`
11×	`add-log-exp_binary64_21600`
6×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
5×	`pow1_binary64_21622`
4×	`sum-log_binary64_21652`
3×	`flip3-+_binary64_21564` `flip-+_binary64_21535` `associate-/l_binary64_21506` `associate-/r_binary64_21505`
2×	`div-inv_binary64_21558` `rem-sqrt-square_binary64_21574` `associate-/l/_binary64_21508` `+-commutative_binary64_21491`
1×	`pow1/2_binary64_21641` `sqrt-pow1_binary64_21579` `sqrt-div_binary64_21578` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-+l+_binary64_21494`

Counts

4 → 78

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
9.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3)
7.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2030 to 549 computations (73% saved)

series1.3s (13%)

Error

0.5b

Counts

4 → 67

Calls

4 calls:

449.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3))
367.0ms	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) 3)
268.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
130.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2647 to 2448 computations (7.5% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4986	3423
1	4986	3423

prune131.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	5	146

Error

0.4b

Counts

146 → 5

Compiler

Compiled 2395 to 880 computations (63.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (sqrt.f64 1/3) x)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

8×	`add-sqr-sqrt_binary64_21583`
6×	`associate-l_binary64_21502`
4×	`add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561` `sqrt-prod_binary64_21577`
3×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `associate-r_binary64_21501`
2×	`unswap-sqr_binary64_21529`
1×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `add-log-exp_binary64_21600` `cbrt-unprod_binary64_21594` `*-commutative_binary64_21492`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 (sqrt.f64 1/3) x)

Compiler

Compiled 190 to 159 computations (16.3% saved)

series52.0ms (0.5%)

Error

0.4b

Counts

1 → 3

Calls

1 calls:

51.0ms

(*.f64 (sqrt.f64 1/3) x)

Compiler

Compiled 35 to 49 computations (-40% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4865	216
1	4865	216

prune22.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Error

0.4b

Counts

30 → 7

Compiler

Compiled 227 to 200 computations (11.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))
0.2b	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (sqrt.f64 (sqrt.f64 1/3))))

rewrite78.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

21×	`sqrt-prod_binary64_21577`
15×	`add-sqr-sqrt_binary64_21583`
12×	`associate-l_binary64_21502`
10×	`associate-r_binary64_21501`
9×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
4×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
3×	`unswap-sqr_binary64_21529`
2×	`add-log-exp_binary64_21600` `*-commutative_binary64_21492`

Counts

2 → 50

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (sqrt.f64 (sqrt.f64 1/3))))
7.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))

Compiler

Compiled 672 to 608 computations (9.5% saved)

series120.0ms (1.2%)

Error

0.4b

Counts

2 → 6

Calls

2 calls:

72.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))
46.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (sqrt.f64 (sqrt.f64 1/3))))

Compiler

Compiled 105 to 130 computations (-23.8% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4878	567
1	4878	567

prune83.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Error

0.4b

Counts

63 → 8

Compiler

Compiled 506 to 463 computations (8.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))) (.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3)))))
0.3b	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3))))
1.0b	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))

rewrite467.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

36×	`add-sqr-sqrt_binary64_21583`
32×	`sqrt-prod_binary64_21577`
28×	`associate-r_binary64_21501`
27×	`pow1_binary64_21622`
22×	`add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
20×	`add-cbrt-cube_binary64_21597`
19×	`cbrt-prod_binary64_21592`
17×	`associate-l_binary64_21502`
12×	`pow-prod-down_binary64_21632`
11×	`prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
7×	`unswap-sqr_binary64_21529`
6×	`pow1/3_binary64_21643` `swap-sqr_binary64_21528`
4×	`add-log-exp_binary64_21600` `*-commutative_binary64_21492`
2×	`pow-prod-up_binary64_21631` `pow-sqr_binary64_21534`
1×	`pow2_binary64_21642` `pow-plus_binary64_21624`

Counts

4 → 118

Calls

4 calls:

34.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))) (.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3)))))
21.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3))))
13.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
13.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))

Compiler

Compiled 2667 to 2530 computations (5.1% saved)

series1.0s (10.4%)

Error

0.4b

Counts

4 → 9

Calls

4 calls:

508.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))) (.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3)))))
385.0ms	(.f64 (.f64 x (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 (cbrt.f64 1/3))))
120.0ms	(*.f64 x (sqrt.f64 (sqrt.f64 1/3)))
0.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))

Compiler

Compiled 357 to 393 computations (-10.1% saved)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5086	1883

prune237.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	127	8	135

Error

0.3b

Counts

135 → 8

Compiler

Compiled 1673 to 1587 computations (5.1% saved)

regimes3.6s (36%)

Accuracy

Total 12.6b remaining (96%)

Threshold costs 0b (0%)

Compiler

Compiled 15841 to 13918 computations (12.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	102	137
1	102	137

end23.0ms (0.2%)

Compiler: Compiled 267 to 168 computations (37.1% saved)

sample2.0s (20.5%)

Algorithm

1×

intervals

Results

527.0ms

8000×

body

128

valid

Compiler

Compiled 239 to 211 computations (11.7% saved)

Details

analyze168.0ms (1.7%)

sample33.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite145.0ms (1.5%)

series1.3s (13%)

simplify76.0ms (0.8%)

prune131.0ms (1.3%)

localize4.0ms (0%)

rewrite25.0ms (0.3%)

series52.0ms (0.5%)

simplify68.0ms (0.7%)

prune22.0ms (0.2%)

localize6.0ms (0.1%)

rewrite78.0ms (0.8%)

series120.0ms (1.2%)

simplify70.0ms (0.7%)

prune83.0ms (0.8%)

localize27.0ms (0.3%)

rewrite467.0ms (4.7%)

series1.0s (10.4%)

simplify126.0ms (1.3%)

prune237.0ms (2.4%)

regimes3.6s (36%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end23.0ms (0.2%)

sample2.0s (20.5%)

Profiling