Details

analyze500.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4733	38
1	4733	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 20 to 16 computations (20% saved)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms	176×	body	128	valid
4.0ms	34×	body	1024	valid
4.0ms	256×	pre	128	true
3.0ms	29×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify299.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (293.0ms)

Iter	Nodes	Cost
0	5018	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

19.2b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite138.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

18.3b

Rules

58×	`*-un-lft-identity_binary64_2465`
26×	`add-sqr-sqrt_binary64_2487`
25×	`times-frac_binary64_2471`
19×	`distribute-lft-out_binary64_2416`
14×	`add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`
5×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
2×	`pow1_binary64_2526` `flip3-+_binary64_2468` `flip-+_binary64_2439` `div-sub_binary64_2470` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411`
1×	`sum-log_binary64_2556` `associate-+l-_binary64_2400` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

2 → 65

Calls

2 calls:

22.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series466.0ms (3.3%)

Error

0.0b

Counts

2 → 40

Calls

2 calls:

227.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
164.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3196 to 2565 computations (19.7% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5009	3116

prune167.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	4	106

Error

0.0b

Counts

106 → 4

Compiler

Compiled 2752 to 1718 computations (37.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
0.2b	(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
1.9b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
6.0b	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite219.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

67×	`*-un-lft-identity_binary64_2465`
31×	`add-sqr-sqrt_binary64_2487`
25×	`times-frac_binary64_2471`
21×	`distribute-lft-out_binary64_2416`
19×	`add-cube-cbrt_binary64_2500`
8×	`log-prod_binary64_2551`
7×	`add-exp-log_binary64_2503`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`
5×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
4×	`flip3-+_binary64_2468` `log-div_binary64_2552` `flip-+_binary64_2439` `exp-prod_binary64_2517` `exp-sum_binary64_2511`
2×	`log-pow_binary64_2554` `div-sub_binary64_2470` `exp-diff_binary64_2513` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411`
1×	`rem-log-exp_binary64_2506` `sum-log_binary64_2556` `associate-+r-_binary64_2399` `+-commutative_binary64_2395` `rem-exp-log_binary64_2505` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 98

Calls

4 calls:

28.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
24.0ms	(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
18.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 2572 to 1670 computations (35.1% saved)

series2.4s (16.5%)

Error

0.0b

Counts

4 → 74

Calls

4 calls:

937.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
646.0ms	(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
227.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
207.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 10714 to 8671 computations (19.1% saved)

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5316	8273

prune355.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	171	5	176

Error

0.0b

Counts

176 → 5

Compiler

Compiled 6725 to 4630 computations (31.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
1.3b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
1.9b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite638.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

150×	`*-un-lft-identity_binary64_2465`
76×	`times-frac_binary64_2471`
74×	`add-sqr-sqrt_binary64_2487`
48×	`distribute-lft-out_binary64_2416`
39×	`add-cube-cbrt_binary64_2500`
31×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493` `associate-l_binary64_2406`
15×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`
12×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
7×	`pow1_binary64_2526` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`associate-/r/_binary64_2411`
4×	`associate-r_binary64_2405`
3×	`div-inv_binary64_2462` `pow-unpow_binary64_2542`
2×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `div-exp_binary64_2516` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `cbrt-undiv_binary64_2499` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `associate-*r/_binary64_2407`
1×	`div-sub_binary64_2470` `associate-+r-_binary64_2399` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-div_binary64_2494` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-l/_binary64_2408` `-commutative_binary64_2396`

Counts

4 → 164

Calls

4 calls:

58.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
51.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
16.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
15.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 8577 to 5266 computations (38.6% saved)

series1.4s (9.8%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

455.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
314.0ms	(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
208.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
198.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 8854 to 6652 computations (24.9% saved)

simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4956	7634
1	4956	7634

prune712.0ms (5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	230	5	235

Error

0.0b

Counts

235 → 5

Compiler

Compiled 11753 to 7244 computations (38.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3)
0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
1.3b	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
1.9b	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite622.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`*-un-lft-identity_binary64_2465`
50×	`add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471`
35×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
34×	`distribute-lft-out_binary64_2416`
30×	`add-cube-cbrt_binary64_2500`
10×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`
8×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526` `pow-unpow_binary64_2542`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`associate-/r/_binary64_2411`
3×	`pow-exp_binary64_2533` `cube-div_binary64_2494` `rem-cube-cbrt_binary64_2488`
2×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `div-inv_binary64_2462` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437`
1×	`div-sub_binary64_2470` `associate-+r-_binary64_2399` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499`

Counts

4 → 134

Calls

4 calls:

28.0ms	(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3)
27.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
20.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
20.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 7383 to 4764 computations (35.5% saved)

series2.4s (16.7%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

1.3s	(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 3)
397.0ms	(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
243.0ms	(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
231.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)

Compiler

Compiled 11006 to 8386 computations (23.8% saved)

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5001	6999

prune766.0ms (5.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	198	4	202

Error

0.0b

Counts

202 → 4

Compiler

Compiled 11046 to 7178 computations (35% saved)

regimes629.0ms (4.4%)

Accuracy

Total 0.4b remaining (86.7%)

Threshold costs 0.4b (86.7%)

Compiler

Compiled 6349 to 4573 computations (28% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	54
1	36	54

end0.0ms (0%)

sample2.1s (14.5%)

Algorithm

1×

intervals

Results

256.0ms	6003×	body	128	valid
160.0ms	8000×	pre	128	true
159.0ms	978×	body	1024	valid
80.0ms	609×	body	512	valid
25.0ms	308×	body	256	valid
19.0ms	102×	body	2048	valid

Compiler

Compiled 1249 to 899 computations (28% saved)

Details

analyze500.0ms (3.5%)

sample29.0ms (0.2%)

simplify299.0ms (2.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite138.0ms (1%)

series466.0ms (3.3%)

simplify91.0ms (0.6%)

prune167.0ms (1.2%)

localize11.0ms (0.1%)

rewrite219.0ms (1.5%)

series2.4s (16.5%)

simplify121.0ms (0.8%)

prune355.0ms (2.5%)

localize18.0ms (0.1%)

rewrite638.0ms (4.5%)

series1.4s (9.8%)

simplify148.0ms (1%)

prune712.0ms (5%)

localize16.0ms (0.1%)

rewrite622.0ms (4.3%)

series2.4s (16.7%)

simplify135.0ms (0.9%)

prune766.0ms (5.4%)

regimes629.0ms (4.4%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (14.5%)

Profiling