Details

analyze329.0ms (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17
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
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Symmetry

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

prune5.0ms (0.2%)

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 22 to 20 computations (9.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite167.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`add-log-exp_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`

Counts

3 → 100

Calls

3 calls:

11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
9.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Compiler

Compiled 2038 to 1659 computations (18.6% saved)

series91.0ms (3.1%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

33.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
21.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
20.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Compiler

Compiled 425 to 398 computations (6.4% saved)

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6419	2047

prune126.0ms (4.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 2029 to 1636 computations (19.4% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
0.0b	(cbrt.f64 (-.f64 1 x))
0.0b	(cbrt.f64 (-.f64 1 x))
0.0b	(cbrt.f64 (-.f64 1 x))

rewrite214.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
4.0ms	(cbrt.f64 (-.f64 1 x))
3.0ms	(cbrt.f64 (-.f64 1 x))
3.0ms	(cbrt.f64 (-.f64 1 x))

Compiler

Compiled 3209 to 2619 computations (18.4% saved)

series174.0ms (5.9%)

Error

Counts

4 → 24

Calls

4 calls:

37.0ms	(cbrt.f64 (-.f64 1 x))
36.0ms	(cbrt.f64 (-.f64 1 x))
34.0ms	(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
34.0ms	(cbrt.f64 (-.f64 1 x))

Compiler

Compiled 1466 to 1262 computations (13.9% saved)

simplify99.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4805	1599
1	4805	1599

prune196.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Error

Counts

133 → 2

Compiler

Compiled 3405 to 2751 computations (19.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)
0.0b	(atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2)))
0.0b	(+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2))

rewrite61.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`associate-+l+_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`sum-log_binary64`
1×	`diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `sub-neg_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2))
6.0ms	(.f64 (.f64 x x) 1/2)
3.0ms	(atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2)))

Compiler

Compiled 825 to 564 computations (31.6% saved)

series113.0ms (3.8%)

Error

Counts

3 → 15

Calls

3 calls:

65.0ms	(+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2))
22.0ms	(.f64 (.f64 x x) 1/2)
16.0ms	(atan.f64 (+.f64 (-.f64 1 x) (.f64 (.f64 x x) 1/2)))

Compiler

Compiled 416 to 373 computations (10.3% saved)

simplify69.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4984	722
1	4984	722

prune46.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Error

Counts

60 → 2

Compiler

Compiled 861 to 610 computations (29.2% saved)

regimes163.0ms (5.5%)

Accuracy

Total 0.0b remaining (87.1%)

Threshold costs 0.0b (87.1%)

Compiler

Compiled 1665 to 1484 computations (10.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	21
1	24	21

Removed

()

end0.0ms (0%)

sample953.0ms (32.1%)

Algorithm

1×

intervals

Results

376.0ms

8000×

body

128

valid

Compiler

Compiled 325 to 290 computations (10.8% saved)

Details

analyze329.0ms (11.1%)

sample23.0ms (0.8%)

simplify32.0ms (1.1%)

prune5.0ms (0.2%)

localize9.0ms (0.3%)

rewrite167.0ms (5.6%)

series91.0ms (3.1%)

simplify75.0ms (2.5%)

prune126.0ms (4.2%)

localize11.0ms (0.4%)

rewrite214.0ms (7.2%)

series174.0ms (5.9%)

simplify99.0ms (3.3%)

prune196.0ms (6.6%)

localize8.0ms (0.3%)

rewrite61.0ms (2.1%)

series113.0ms (3.8%)

simplify69.0ms (2.3%)

prune46.0ms (1.6%)

regimes163.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample953.0ms (32.1%)

Profiling