Details

analyze234.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify143.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5080	25

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
13.2b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite172.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_2487`
23×	`*-un-lft-identity_binary64_2465`
21×	`add-cube-cbrt_binary64_2500`
19×	`times-frac_binary64_2471`
15×	`cancel-sign-sub-inv_binary64_2431`
8×	`add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`associate-/r/_binary64_2411`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`div-inv_binary64_2462` `associate-/l/_binary64_2412` `associate-*l/_binary64_2408` `difference-of-squares_binary64_2434`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395` `diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417`

Counts

4 → 91

Calls

4 calls:

10.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 2822 to 2245 computations (20.4% saved)

series166.0ms (5.8%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

52.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
33.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
32.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
24.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

Compiler

Compiled 760 to 621 computations (18.3% saved)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5158	2554

prune329.0ms (11.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 2650 to 2068 computations (22% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
13.1b	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite359.0ms (12.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_2471`
60×	`add-sqr-sqrt_binary64_2487`
58×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`add-exp-log_binary64_2503`
18×	`associate-/r*_binary64_2409`
13×	`add-cbrt-cube_binary64_2501`
11×	`associate-/r/_binary64_2411`
8×	`div-exp_binary64_2516` `flip3-+_binary64_2468` `flip-+_binary64_2439`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `associate-/l*_binary64_2410`
4×	`cbrt-undiv_binary64_2499`
3×	`associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l/_binary64_2412` `1-exp_binary64_2509` `rec-exp_binary64_2515` `associate-*r/_binary64_2407`
1×	`inv-pow_binary64_2550` `pow-flip_binary64_2539` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 148

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
10.0ms	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

Compiler

Compiled 5045 to 4147 computations (17.8% saved)

series163.0ms (5.7%)

Error

Counts

4 → 26

Calls

4 calls:

55.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
35.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
32.0ms	(/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
23.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))) 1) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))

Compiler

Compiled 884 to 733 computations (17.1% saved)

simplify126.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4969	4899
1	4969	4899

prune289.0ms (10.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	2	176

Error

Counts

176 → 2

Compiler

Compiled 4853 to 3920 computations (19.2% saved)

regimes60.0ms (2.1%)

Accuracy

Total 0.0b remaining (55.5%)

Threshold costs 0.0b (55.5%)

Compiler

Compiled 384 to 330 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	28
1	43	28

end0.0ms (0%)

sample687.0ms (24%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 185 to 160 computations (13.5% saved)

Details

analyze234.0ms (8.2%)

sample21.0ms (0.7%)

simplify143.0ms (5%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

rewrite172.0ms (6%)

series166.0ms (5.8%)

simplify83.0ms (2.9%)

prune329.0ms (11.5%)

localize12.0ms (0.4%)

rewrite359.0ms (12.6%)

series163.0ms (5.7%)

simplify126.0ms (4.4%)

prune289.0ms (10.1%)

regimes60.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample687.0ms (24%)

Profiling