Details

analyze157.0ms (4.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	13
75%	0%	25%	14
75%	0%	25%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample105.0ms (2.9%)

Algorithm

2×

intervals

Results

11.0ms	512×	body	128	valid
4.0ms	174×	body	128	invalid

Compiler

Compiled 2903 to 2902 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	10
1	21	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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite50.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_2487`
12×	`times-frac_binary64_2471`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`difference-of-squares_binary64_2434` `associate-/l*_binary64_2410`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/r*_binary64_2409`
2×	`associate-/l/_binary64_2412`
1×	`pow1_binary64_2526` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

1 → 34

Calls

1 calls:

7.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 535 to 366 computations (31.6% saved)

series81.0ms (2.3%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

76.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 85 to 82 computations (3.5% saved)

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4883	617
1	4883	617

prune47.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	5	41

Error

0.0b

Counts

41 → 5

Compiler

Compiled 582 to 403 computations (30.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 1/6 (.f64 x x))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `add-sqr-sqrt_binary64_2487` `associate-l_binary64_2406`
2×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
1×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 1/6 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series41.0ms (1.1%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 1/6 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5390	180

prune23.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Error

Counts

27 → 3

Compiler

Compiled 246 to 179 computations (27.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (sqrt.f64 1/6))
0.2b	(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
0.2b	(.f64 x (.f64 x (sqrt.f64 1/6)))

rewrite94.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`add-sqr-sqrt_binary64_2487`
12×	`associate-l_binary64_2406`
10×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`associate-r_binary64_2405`
7×	`sqrt-prod_binary64_2481`
3×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
2×	`unswap-sqr_binary64_2433`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
6.0ms	(.f64 x (.f64 x (sqrt.f64 1/6)))
5.0ms	(*.f64 x (sqrt.f64 1/6))

Compiler

Compiled 1102 to 888 computations (19.4% saved)

series186.0ms (5.2%)

Error

Counts

3 → 9

Calls

3 calls:

75.0ms	(.f64 (sqrt.f64 1/6) (.f64 x (*.f64 x (sqrt.f64 1/6))))
57.0ms	(.f64 x (.f64 x (sqrt.f64 1/6)))
46.0ms	(*.f64 x (sqrt.f64 1/6))

Compiler

Compiled 288 to 271 computations (5.9% saved)

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5106	657

prune69.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Error

Counts

76 → 3

Compiler

Compiled 973 to 770 computations (20.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (sqrt.f64 3))
0.0b	(+.f64 x (sqrt.f64 3))
0.1b	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
0.7b	(/.f64 6 (-.f64 x (sqrt.f64 3)))

rewrite439.0ms (12.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

204×	`times-frac_binary64_2471`
184×	`*-un-lft-identity_binary64_2465`
172×	`add-sqr-sqrt_binary64_2487`
92×	`add-cube-cbrt_binary64_2500`
40×	`difference-of-squares_binary64_2434`
30×	`associate-/r*_binary64_2409`
26×	`distribute-lft-out_binary64_2416`
23×	`sqrt-prod_binary64_2481`
20×	`distribute-lft-out--_binary64_2417`
13×	`associate-/r/_binary64_2411`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
7×	`div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-/l*_binary64_2410`
6×	`cancel-sign-sub-inv_binary64_2431`
4×	`pow1_binary64_2526` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `diff-log_binary64_2557` `sub-neg_binary64_2458`

Counts

4 → 214

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
6.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))
5.0ms	(-.f64 x (sqrt.f64 3))
4.0ms	(+.f64 x (sqrt.f64 3))

Compiler

Compiled 4999 to 4208 computations (15.8% saved)

series350.0ms (9.8%)

Error

Counts

4 → 30

Calls

4 calls:

145.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
96.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))
42.0ms	(-.f64 x (sqrt.f64 3))
36.0ms	(+.f64 x (sqrt.f64 3))

Compiler

Compiled 1044 to 939 computations (10.1% saved)

simplify95.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5100	5830

prune372.0ms (10.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	244	3	247

Error

Counts

247 → 3

Compiler

Compiled 4796 to 3920 computations (18.3% saved)

regimes236.0ms (6.6%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 2357 to 1887 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample999.0ms (27.9%)

Algorithm

1×

intervals

Results

175.0ms	8000×	body	128	valid
64.0ms	2621×	body	128	invalid

Compiler

Compiled 495 to 401 computations (19% saved)

Details

analyze157.0ms (4.4%)

sample105.0ms (2.9%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite50.0ms (1.4%)

series81.0ms (2.3%)

simplify54.0ms (1.5%)

prune47.0ms (1.3%)

localize4.0ms (0.1%)

rewrite23.0ms (0.6%)

series41.0ms (1.1%)

simplify81.0ms (2.3%)

prune23.0ms (0.6%)

localize6.0ms (0.2%)

rewrite94.0ms (2.6%)

series186.0ms (5.2%)

simplify48.0ms (1.3%)

prune69.0ms (1.9%)

localize7.0ms (0.2%)

rewrite439.0ms (12.2%)

series350.0ms (9.8%)

simplify95.0ms (2.7%)

prune372.0ms (10.4%)

regimes236.0ms (6.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample999.0ms (27.9%)

Profiling