Details

analyze503.0ms (13.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample61.0ms (1.6%)

Algorithm

1×

intervals

Results

23.0ms	131×	body	2048	nan
11.0ms	256×	body	128	valid
7.0ms	55×	body	1024	nan
3.0ms	31×	body	512	nan
1.0ms	24×	body	256	nan
0.0ms	2×	body	4096	nan
0.0ms	11×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify151.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

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

29.1b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.2b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
27.0b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite65.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

10×	`*-un-lft-identity_binary64_3488`
7×	`add-sqr-sqrt_binary64_3510`
6×	`sqrt-prod_binary64_3504`
5×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `add-cube-cbrt_binary64_3523`
4×	`add-exp-log_binary64_3526` `log-prod_binary64_3574`
3×	`add-cbrt-cube_binary64_3524`
2×	`sqrt-div_binary64_3505` `difference-of-squares_binary64_3457` `flip3-+_binary64_3491` `log-div_binary64_3575` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-sqr-1_binary64_3458` `rem-sqrt-square_binary64_3501` `log-pow_binary64_3577` `rem-log-exp_binary64_3529` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

3 → 45

Calls

3 calls:

7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 804 to 493 computations (38.7% saved)

series131.0ms (3.5%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

53.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
36.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 506 to 442 computations (12.6% saved)

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5038	944

prune53.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

0.0b

Counts

64 → 3

Compiler

Compiled 849 to 553 computations (34.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_3488`
5×	`log-prod_binary64_3574`
2×	`pow1_binary64_3549` `log-div_binary64_3575` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `distribute-lft-out_binary64_3439` `add-exp-log_binary64_3526`
1×	`log-pow_binary64_3577` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out--_binary64_3440` `rem-log-exp_binary64_3529` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`

Counts

1 → 16

Calls

1 calls:

9.0ms

(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 275 to 188 computations (31.6% saved)

series36.0ms (1%)

Error

0.0b

Counts

1 → 4

Calls

1 calls:

34.0ms

(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 117 to 108 computations (7.7% saved)

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4690	329
1	4690	329

prune18.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	21	2	23

Error

Counts

23 → 2

Compiler

Compiled 272 to 197 computations (27.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 1/2 x))
0.3b	(*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))
4.5b	(log.f64 (+.f64 1 (*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))))

rewrite136.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_3510`
31×	`times-frac_binary64_3494`
25×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
19×	`add-exp-log_binary64_3526`
16×	`log-prod_binary64_3574`
15×	`add-cbrt-cube_binary64_3524`
13×	`associate-l_binary64_3429` `associate-r_binary64_3428`
7×	`pow1_binary64_3549`
5×	`div-exp_binary64_3539`
4×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `cbrt-undiv_binary64_3522` `unswap-sqr_binary64_3456`
3×	`log-div_binary64_3575` `rem-log-exp_binary64_3529` `add-log-exp_binary64_3527` `div-inv_binary64_3485`
2×	`log-pow_binary64_3577`
1×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `pow-prod-down_binary64_3559` `frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419`

Counts

3 → 88

Calls

3 calls:

14.0ms	(*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))
3.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))))
3.0ms	(log.f64 (/.f64 1/2 x))

Compiler

Compiled 2036 to 1601 computations (21.4% saved)

series116.0ms (3.2%)

Error

Counts

3 → 9

Calls

3 calls:

56.0ms	(log.f64 (/.f64 1/2 x))
28.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))))
24.0ms	(*.f64 (/.f64 1/2 x) (/.f64 -1/2 x))

Compiler

Compiled 397 to 349 computations (12.1% saved)

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4892	1174
1	4892	1174

prune108.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 1860 to 1438 computations (22.7% saved)

regimes76.0ms (2.1%)

Accuracy

Total 0.1b remaining (98.8%)

Threshold costs 0.1b (98.8%)

Compiler

Compiled 358 to 307 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample2.0s (53.4%)

Algorithm

1×

intervals

Results

651.0ms	4007×	body	2048	nan
337.0ms	8000×	body	128	valid
250.0ms	2030×	body	1024	nan
102.0ms	1056×	body	512	nan
31.0ms	502×	body	256	nan
19.0ms	486×	body	128	nan
2.0ms	12×	body	4096	nan

Compiler

Compiled 110 to 96 computations (12.7% saved)

Details

analyze503.0ms (13.6%)

sample61.0ms (1.6%)

simplify151.0ms (4.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite65.0ms (1.8%)

series131.0ms (3.5%)

simplify61.0ms (1.7%)

prune53.0ms (1.4%)

localize5.0ms (0.1%)

rewrite23.0ms (0.6%)

series36.0ms (1%)

simplify61.0ms (1.7%)

prune18.0ms (0.5%)

localize9.0ms (0.3%)

rewrite136.0ms (3.7%)

series116.0ms (3.2%)

simplify94.0ms (2.6%)

prune108.0ms (2.9%)

regimes76.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (53.4%)

Profiling