Details

analyze388.0ms (13.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify308.0ms (10.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (302.0ms)

Iter	Nodes	Cost
0	7544	20

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite212.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64_3829`
50×	`times-frac_binary64_3835`
43×	`add-sqr-sqrt_binary64_3851`
31×	`add-cube-cbrt_binary64_3864` `sqrt-prod_binary64_3845`
16×	`distribute-lft-out_binary64_3780`
15×	`log-prod_binary64_3915`
13×	`div-inv_binary64_3826`
10×	`difference-of-squares_binary64_3798`
8×	`associate-/l*_binary64_3774`
7×	`add-exp-log_binary64_3867`
6×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `distribute-rgt-out_binary64_3782`
4×	`sqrt-div_binary64_3846`
3×	`associate-/r*_binary64_3773` `log-div_binary64_3916`
2×	`flip3--_binary64_3833` `flip--_binary64_3804` `frac-add_binary64_3837` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-rgt1-in_binary64_3785` `associate-/l/_binary64_3776`
1×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842` `sum-log_binary64_3920` `+-commutative_binary64_3759` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `log-pow_binary64_3918` `rem-log-exp_binary64_3870`

Counts

4 → 117

Calls

4 calls:

27.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
23.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2629 to 1663 computations (36.7% saved)

series176.0ms (6.2%)

Error

Counts

4 → 24

Calls

4 calls:

56.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
36.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
34.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
29.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 699 to 601 computations (14% saved)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5069	2713

prune138.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Error

Counts

142 → 3

Compiler

Compiled 2612 to 1685 computations (35.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`add-log-exp_binary64_3868`
3×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829` `log-prod_binary64_3915`
2×	`add-cbrt-cube_binary64_3865` `flip3--_binary64_3833` `flip--_binary64_3804` `log-div_binary64_3916`
1×	`diff-log_binary64_3921` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795` `log-pow_binary64_3918` `rem-log-exp_binary64_3870`

Counts

2 → 26

Calls

2 calls:

7.0ms	(-.f64 (/.f64 2 x) (*.f64 1/2 x))
6.0ms	(log.f64 (-.f64 (/.f64 2 x) (*.f64 1/2 x)))

Compiler

Compiled 452 to 355 computations (21.5% saved)

series87.0ms (3.1%)

Error

Counts

2 → 10

Calls

2 calls:

53.0ms	(-.f64 (/.f64 2 x) (*.f64 1/2 x))
28.0ms	(log.f64 (-.f64 (/.f64 2 x) (*.f64 1/2 x)))

Compiler

Compiled 221 to 196 computations (11.3% saved)

simplify68.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4880	528
1	4880	528

prune28.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	36	3	39

Error

Counts

39 → 3

Compiler

Compiled 449 to 343 computations (23.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(-.f64 (log.f64 2) (log.f64 x))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_3829`
6×	`pow1_binary64_3890` `add-sqr-sqrt_binary64_3851` `log-prod_binary64_3915`
5×	`log-pow_binary64_3918`
4×	`add-cube-cbrt_binary64_3864` `cancel-sign-sub-inv_binary64_3795` `distribute-lft-out--_binary64_3781`
3×	`associate--l+_binary64_3766` `associate--r+_binary64_3765`
1×	`diff-log_binary64_3921` `add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `difference-of-squares_binary64_3798`

Counts

1 → 26

Calls

1 calls:

5.0ms

(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 280 to 192 computations (31.4% saved)

series97.0ms (3.4%)

Error

Counts

1 → 3

Calls

1 calls:

94.0ms

(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 66 to 64 computations (3% saved)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4863	308
1	4863	308

prune18.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Error

Counts

32 → 3

Compiler

Compiled 260 to 181 computations (30.4% saved)

regimes108.0ms (3.8%)

Accuracy

Total 0.0b remaining (97.9%)

Threshold costs 0.0b (97.9%)

Compiler

Compiled 804 to 616 computations (23.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	32
1	32	32

end0.0ms (0%)

sample915.0ms (32.4%)

Algorithm

1×

intervals

Results

427.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 263 to 202 computations (23.2% saved)

Details

analyze388.0ms (13.8%)

sample21.0ms (0.7%)

simplify308.0ms (10.9%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite212.0ms (7.5%)

series176.0ms (6.2%)

simplify91.0ms (3.2%)

prune138.0ms (4.9%)

localize6.0ms (0.2%)

rewrite42.0ms (1.5%)

series87.0ms (3.1%)

simplify68.0ms (2.4%)

prune28.0ms (1%)

localize5.0ms (0.2%)

rewrite23.0ms (0.8%)

series97.0ms (3.4%)

simplify80.0ms (2.8%)

prune18.0ms (0.6%)

regimes108.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample915.0ms (32.4%)

Profiling