Details

analyze398.0ms (2.8%)

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)

sample32.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	pre	128	true
6.0ms	193×	body	128	valid
4.0ms	30×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify252.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (247.0ms)

Iter	Nodes	Cost
0	5018	19

prune3.0ms (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

16.6b

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))
2.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite116.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

15.8b

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:

19.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series466.0ms (3.3%)

Error

0.1b

Counts

2 → 44

Calls

2 calls:

229.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
158.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3676 to 2975 computations (19.1% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5012	3360

prune139.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Error

0.0b

Counts

110 → 7

Compiler

Compiled 3042 to 1849 computations (39.2% 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))))))
2.7b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
4.3b	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite193.0ms (1.4%)

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:

20.0ms	(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
16.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
16.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 2572 to 1670 computations (35.1% saved)

series2.0s (14%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

745.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
606.0ms	(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
223.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
164.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 10936 to 8935 computations (18.3% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4958	7772
1	4958	7772

prune354.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	180	7	187

Error

0.0b

Counts

187 → 7

Compiler

Compiled 6518 to 4376 computations (32.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
0.5b	(pow.f64 E.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
2.7b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
4.3b	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite203.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

68×	`*-un-lft-identity_binary64_2465`
32×	`add-sqr-sqrt_binary64_2487`
25×	`times-frac_binary64_2471`
21×	`distribute-lft-out_binary64_2416`
20×	`add-cube-cbrt_binary64_2500`
8×	`log-prod_binary64_2551` `add-exp-log_binary64_2503`
7×	`pow1_binary64_2526`
6×	`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` `unpow-prod-up_binary64_2543` `pow-unpow_binary64_2542`
3×	`unpow-prod-down_binary64_2544`
2×	`log-pow_binary64_2554` `div-sub_binary64_2470` `pow-sub_binary64_2541` `pow-exp_binary64_2533` `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` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `e-exp-1_binary64_2510` `sqr-pow_binary64_2437` `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 → 105

Calls

4 calls:

18.0ms	(pow.f64 E.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
16.0ms	(log.f64 (+.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	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 2873 to 1794 computations (37.6% saved)

series2.2s (15.5%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

776.0ms	(pow.f64 E.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
744.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
233.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
156.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 11069 to 9006 computations (18.6% saved)

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	8108
1	4959	8108

prune361.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	187	7	194

Error

0.0b

Counts

194 → 7

Compiler

Compiled 6869 to 4493 computations (34.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
2.7b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
2.7b	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
4.2b	(log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))

rewrite187.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64_2465`
8×	`cbrt-prod_binary64_2496` `add-log-exp_binary64_2504`
7×	`add-cube-cbrt_binary64_2500` `log-prod_binary64_2551` `add-sqr-sqrt_binary64_2487`
5×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
4×	`flip3-+_binary64_2468` `cbrt-div_binary64_2497` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `add-cbrt-cube_binary64_2501`
2×	`pow1/3_binary64_2547` `log-pow_binary64_2554` `log-div_binary64_2552` `sum-log_binary64_2556` `div-sub_binary64_2470` `associate-+r-_binary64_2399` `+-commutative_binary64_2395`
1×	`rem-log-exp_binary64_2506`

Counts

4 → 59

Calls

4 calls:

18.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
17.0ms	(log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
16.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
16.0ms	(cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

Compiler

Compiled 2579 to 1745 computations (32.3% saved)

series3.8s (26.7%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

1.5s	(log.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
1.4s	(cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
255.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
254.0ms	(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 16968 to 13770 computations (18.8% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5359	9290

prune562.0ms (4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	141	7	148

Error

0.0b

Counts

148 → 7

Compiler

Compiled 9065 to 6264 computations (30.9% saved)

regimes585.0ms (4.2%)

Accuracy

Total 0.1b remaining (64.8%)

Threshold costs 0.1b (64.8%)

Compiler

Compiled 7357 to 5473 computations (25.6% saved)

bsearch3.0ms (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	71	87
1	71	87

end0.0ms (0%)

sample1.9s (13.5%)

Algorithm

1×

intervals

Results

205.0ms	6022×	body	128	valid
125.0ms	8000×	pre	128	true
125.0ms	1023×	body	1024	valid
54.0ms	565×	body	512	valid
19.0ms	314×	body	256	valid
11.0ms	76×	body	2048	valid

Compiler

Compiled 1443 to 1070 computations (25.8% saved)

Details

analyze398.0ms (2.8%)

sample32.0ms (0.2%)

simplify252.0ms (1.8%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite116.0ms (0.8%)

series466.0ms (3.3%)

simplify57.0ms (0.4%)

prune139.0ms (1%)

localize11.0ms (0.1%)

rewrite193.0ms (1.4%)

series2.0s (14%)

simplify103.0ms (0.7%)

prune354.0ms (2.5%)

localize12.0ms (0.1%)

rewrite203.0ms (1.4%)

series2.2s (15.5%)

simplify110.0ms (0.8%)

prune361.0ms (2.6%)

localize15.0ms (0.1%)

rewrite187.0ms (1.3%)

series3.8s (26.7%)

simplify95.0ms (0.7%)

prune562.0ms (4%)

regimes585.0ms (4.2%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (13.5%)

Profiling