Details

analyze417.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14
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
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample73.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	86×	body	1024	valid
14.0ms	40×	body	2048	valid
9.0ms	44×	body	512	valid
3.0ms	68×	body	128	valid
2.0ms	4×	body	4096	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

prune4.0ms (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

53.3b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.5b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
1.1b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite74.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

53.1b

Rules

9×	`*-un-lft-identity_binary64_3829`
6×	`add-sqr-sqrt_binary64_3851`
5×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864`
4×	`add-exp-log_binary64_3867` `log-prod_binary64_3915`
3×	`add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803` `sqrt-prod_binary64_3845`
2×	`sqrt-div_binary64_3846` `log-div_binary64_3916` `distribute-lft-out_binary64_3780`
1×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842` `log-pow_binary64_3918` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

3 → 42

Calls

3 calls:

7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 766 to 464 computations (39.4% saved)

series284.0ms (5.3%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

116.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
73.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
52.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 963 to 825 computations (14.3% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5201	1166

prune93.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Error

0.0b

Counts

76 → 6

Compiler

Compiled 1065 to 713 computations (33.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
0.1b	(*.f64 (pow.f64 x 5) 3/40)
0.1b	(*.f64 (pow.f64 x 3) 1/6)
21.2b	(+.f64 (-.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 5) 3/40))

rewrite155.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_3851`
19×	`associate-l_binary64_3770`
14×	`add-exp-log_binary64_3867`
11×	`add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
8×	`add-cbrt-cube_binary64_3865` `unpow-prod-down_binary64_3908`
7×	`unswap-sqr_binary64_3797`
6×	`prod-exp_binary64_3878` `associate-r_binary64_3769`
4×	`pow1_binary64_3890` `cube-prod_binary64_3857` `sqr-pow_binary64_3801`
2×	`diff-log_binary64_3921` `sum-log_binary64_3920` `sub-neg_binary64_3822` `associate-+l+_binary64_3762` `cancel-sign-sub-inv_binary64_3795` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`
1×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-+l-_binary64_3764` `+-commutative_binary64_3759` `unpow3_binary64_3895` `cube-mult_binary64_3859` `flip3--_binary64_3833` `flip--_binary64_3804`

Counts

4 → 83

Calls

4 calls:

6.0ms	(+.f64 (-.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 5) 3/40))
6.0ms	(*.f64 (pow.f64 x 3) 1/6)
5.0ms	(*.f64 (pow.f64 x 5) 3/40)
3.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series259.0ms (4.8%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

91.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
58.0ms	(+.f64 (-.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 5) 3/40))
54.0ms	(*.f64 (pow.f64 x 5) 3/40)
37.0ms	(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 506 to 420 computations (17% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4898	1252
1	4898	1252

prune124.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

0.0b

Counts

106 → 6

Compiler

Compiled 1775 to 1376 computations (22.5% saved)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

0.0b

Counts

6 → 6

Compiler

Compiled 51 to 39 computations (23.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 x (/.f64 1/2 x)))
0.0b	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_3829`
7×	`add-log-exp_binary64_3868`
6×	`distribute-lft-out_binary64_3780`
5×	`log-prod_binary64_3915`
3×	`pow1_binary64_3890` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `add-exp-log_binary64_3867` `sum-log_binary64_3920`
2×	`flip3-+_binary64_3832` `log-div_binary64_3916` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865`
1×	`log-pow_binary64_3918` `rem-log-exp_binary64_3870` `associate-+r+_binary64_3761` `+-commutative_binary64_3759`

Counts

2 → 31

Calls

2 calls:

9.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
8.0ms	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

Compiler

Compiled 504 to 338 computations (32.9% saved)

series102.0ms (1.9%)

Error

0.0b

Counts

2 → 11

Calls

2 calls:

50.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
46.0ms	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))

Compiler

Compiled 259 to 230 computations (11.2% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4821	573
1	4821	573

prune27.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	42	6	48

Error

0.0b

Counts

48 → 6

Compiler

Compiled 487 to 298 computations (38.8% saved)

regimes271.0ms (5%)

Accuracy

Total 0.3b remaining (97.8%)

Threshold costs 0.3b (97.8%)

Compiler

Compiled 1714 to 1273 computations (25.7% saved)

bsearch46.0ms (0.9%)

Steps

Iters	Range		Point
11	1.4915888139300387e-20	196.81541420403747	1.0253859810357775
7	-1.4434663788830187	-0.025454405799417566	-1.3299041834197318

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	49
1	58	49

end0.0ms (0%)

sample3.1s (58.2%)

Algorithm

1×

intervals

Results

1.1s	2538×	body	1024	valid
473.0ms	1233×	body	2048	valid
327.0ms	1296×	body	512	valid
135.0ms	2313×	body	128	valid
78.0ms	577×	body	256	valid
24.0ms	43×	body	4096	valid

Compiler

Compiled 577 to 430 computations (25.5% saved)

Details

analyze417.0ms (7.7%)

sample73.0ms (1.3%)

simplify18.0ms (0.3%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite74.0ms (1.4%)

series284.0ms (5.3%)

simplify80.0ms (1.5%)

prune93.0ms (1.7%)

localize11.0ms (0.2%)

rewrite155.0ms (2.9%)

series259.0ms (4.8%)

simplify54.0ms (1%)

prune124.0ms (2.3%)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite51.0ms (0.9%)

series102.0ms (1.9%)

simplify80.0ms (1.5%)

prune27.0ms (0.5%)

regimes271.0ms (5%)

bsearch46.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.1s (58.2%)

Profiling