Details

analyze402.0ms (4.1%)

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)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	pre	128	true
6.0ms	197×	body	128	valid
4.0ms	33×	body	1024	valid
2.0ms	17×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify251.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

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

15.3b

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)

rewrite112.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

14.5b

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)

series447.0ms (4.6%)

Error

0.0b

Counts

2 → 44

Calls

2 calls:

229.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
146.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3588 to 2887 computations (19.5% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4957	3204
1	4957	3204

prune133.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	3	110

Error

0.0b

Counts

110 → 3

Compiler

Compiled 2819 to 1729 computations (38.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
0.1b	(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
4.8b	(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) 1)

rewrite165.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

61×	`*-un-lft-identity_binary64_2465`
32×	`add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471`
23×	`add-cube-cbrt_binary64_2500`
21×	`associate-r_binary64_2405` `distribute-lft-out_binary64_2416`
16×	`add-exp-log_binary64_2503`
10×	`add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526`
5×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `associate-/r*_binary64_2409`
4×	`div-exp_binary64_2516` `prod-exp_binary64_2514` `associate-/r/_binary64_2411`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `associate-/l*_binary64_2410`
2×	`1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-unprod_binary64_2498` `cbrt-undiv_binary64_2499` `flip3--_binary64_2469` `frac-times_binary64_2475` `flip--_binary64_2440` `associate-*l/_binary64_2408` `div-inv_binary64_2462`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `un-div-inv_binary64_2463` `associate-r/_binary64_2407` `difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417` `-commutative_binary64_2396` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `frac-2neg_binary64_2476` `clear-num_binary64_2464`

Counts

3 → 102

Calls

3 calls:

17.0ms	(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
14.0ms	(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) 1)
7.0ms	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 2485 to 1729 computations (30.4% saved)

series610.0ms (6.2%)

Error

0.0b

Counts

3 → 66

Calls

3 calls:

228.0ms	(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) 1)
153.0ms	(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
121.0ms	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 5230 to 4180 computations (20.1% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5017	4347

prune198.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	168	3	171

Error

0.0b

Counts

171 → 3

Compiler

Compiled 4340 to 2814 computations (35.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471` `*-un-lft-identity_binary64_2465`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l_binary64_2410` `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` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 527 to 407 computations (22.8% saved)

series99.0ms (1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

93.0ms

(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 236 to 209 computations (11.4% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5423	571

prune36.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Error

0.0b

Counts

41 → 4

Compiler

Compiled 631 to 480 computations (23.9% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.3b	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))
8.2b	(/.f64 beta (*.f64 alpha alpha))
11.5b	(-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
17.0b	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))

rewrite1.5s (14.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

123×	`frac-add_binary64_2473`
79×	`associate-*r/_binary64_2407`
63×	`add-log-exp_binary64_2504`
49×	`frac-sub_binary64_2474`
37×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
33×	`sum-log_binary64_2556`
24×	`*-un-lft-identity_binary64_2465`
22×	`add-exp-log_binary64_2503`
15×	`add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471`
14×	`add-cbrt-cube_binary64_2501`
13×	`add-cube-cbrt_binary64_2500` `associate-/r*_binary64_2409`
12×	`diff-log_binary64_2557`
8×	`div-exp_binary64_2516`
7×	`frac-times_binary64_2475` `associate-*l/_binary64_2408`
6×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
4×	`pow1_binary64_2526` `prod-exp_binary64_2514` `cbrt-undiv_binary64_2499` `associate-/l*_binary64_2410` `distribute-lft-out_binary64_2416`
3×	`cancel-sign-sub-inv_binary64_2431` `distribute-lft-out--_binary64_2417`
2×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437` `clear-num_binary64_2464` `div-inv_binary64_2462`
1×	`flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-squares_binary64_2434` `associate--l+_binary64_2402` `associate--r+_binary64_2401` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Counts

4 → 161

Calls

4 calls:

58.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
26.0ms	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))
7.0ms	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
5.0ms	(/.f64 beta (*.f64 alpha alpha))

Compiler

Compiled 22551 to 12871 computations (42.9% saved)

series1.3s (12.9%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

651.0ms	(-.f64 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (.f64 beta beta) (pow.f64 alpha 3)))))) (+.f64 (.f64 6 (/.f64 beta (.f64 alpha alpha))) (+.f64 (/.f64 4 (.f64 alpha alpha)) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))))
319.0ms	(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (.f64 16 (/.f64 beta (pow.f64 alpha 3))) (.f64 10 (/.f64 (*.f64 beta beta) (pow.f64 alpha 3)))))
122.0ms	(/.f64 (*.f64 beta beta) (pow.f64 alpha 3))
91.0ms	(/.f64 beta (*.f64 alpha alpha))

Compiler

Compiled 5796 to 3993 computations (31.1% saved)

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5271	21051

prune1.5s (14.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	199	4	203

Error

Counts

203 → 4

Compiler

Compiled 21600 to 12641 computations (41.5% saved)

regimes602.0ms (6.1%)

Accuracy

Total 0.1b remaining (74.6%)

Threshold costs 0.1b (74.6%)

Compiler

Compiled 8362 to 6016 computations (28.1% saved)

bsearch3.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	102	92
1	102	92

end0.0ms (0%)

sample2.1s (21%)

Algorithm

1×

intervals

Results

202.0ms	5995×	body	128	valid
146.0ms	8000×	pre	128	true
126.0ms	1018×	body	1024	valid
58.0ms	578×	body	512	valid
21.0ms	325×	body	256	valid
13.0ms	84×	body	2048	valid

Compiler

Compiled 1681 to 1207 computations (28.2% saved)

Details

analyze402.0ms (4.1%)

sample33.0ms (0.3%)

simplify251.0ms (2.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite112.0ms (1.1%)

series447.0ms (4.6%)

simplify76.0ms (0.8%)

prune133.0ms (1.4%)

localize9.0ms (0.1%)

rewrite165.0ms (1.7%)

series610.0ms (6.2%)

simplify85.0ms (0.9%)

prune198.0ms (2%)

localize5.0ms (0.1%)

rewrite33.0ms (0.3%)

series99.0ms (1%)

simplify63.0ms (0.6%)

prune36.0ms (0.4%)

localize33.0ms (0.3%)

rewrite1.5s (14.8%)

series1.3s (12.9%)

simplify183.0ms (1.9%)

prune1.5s (14.8%)

regimes602.0ms (6.1%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.1s (21%)

Profiling