Details

analyze265.0ms (12.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5028	56
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify115.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

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

29.6b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
3.6b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
29.1b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
9×	`times-frac_binary64_14406`
7×	`add-log-exp_binary64_14439`
5×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
3×	`associate-/r_binary64_14344` `pow1_binary64_14461` `associate-/l_binary64_14345`
2×	`associate-/l/_binary64_14347` `flip3-+_binary64_14403` `flip--_binary64_14375` `flip3--_binary64_14404` `flip-+_binary64_14374` `associate-/r/_binary64_14346`
1×	`sub-neg_binary64_14393` `+-commutative_binary64_14330` `cancel-sign-sub-inv_binary64_14366` `frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `clear-num_binary64_14399` `div-exp_binary64_14451` `div-inv_binary64_14397` `diff-log_binary64_14492` `sum-log_binary64_14491` `div-sub_binary64_14405`

Counts

3 → 55

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

series104.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
32.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
25.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

simplify80.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4917	1786
1	4917	1786

prune74.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Error

0.5b

Counts

65 → 3

Compiler

Compiled 1801 to 959 computations (46.8% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
0.0b	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
3.6b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))
29.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))

rewrite54.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_14406`
42×	`add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
36×	`cbrt-prod_binary64_14431`
30×	`cube-prod_binary64_14428` `unpow-prod-down_binary64_14479`
10×	`associate-/r/_binary64_14346`
9×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
6×	`add-log-exp_binary64_14439`
5×	`flip3-+_binary64_14403` `div-inv_binary64_14397` `pow1_binary64_14461` `flip-+_binary64_14374`
3×	`associate-/r_binary64_14344` `pow-unpow_binary64_14477` `associate-/l_binary64_14345`
2×	`associate-/l/_binary64_14347` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451` `cube-div_binary64_14429` `flip--_binary64_14375` `flip3--_binary64_14404` `cube-mult_binary64_14430` `rem-cube-cbrt_binary64_14423` `pow-exp_binary64_14468` `unpow3_binary64_14466` `sqr-pow_binary64_14372`
1×	`sub-neg_binary64_14393` `pow1/3_binary64_14482` `cancel-sign-sub-inv_binary64_14366` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `cbrt-div_binary64_14432` `rem-cbrt-cube_binary64_14424` `pow-to-exp_binary64_14469` `diff-log_binary64_14492` `div-sub_binary64_14405` `pow-pow_binary64_14472`

Counts

4 → 140

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))
5.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))

series173.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3)
45.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4)))) 3))
43.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 4))) (+.f64 (.f64 x x) (.f64 y (.f64 y 4))))
29.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 4)))

simplify102.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5139	5779

prune202.0ms (9.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	152	3	155

Error

0.5b

Counts

155 → 3

Compiler

Compiled 4882 to 2785 computations (43% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.5b

Counts

3 → 3

Compiler

Compiled 1 to 3 computations (-200% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

0.5b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes165.0ms (7.5%)

Accuracy

Total 13.0b remaining (97.4%)

Threshold costs 0b (0%)

Compiler

Compiled 363 to 283 computations (22% saved)

bsearch84.0ms (3.8%)

Steps

Iters	Range		Point
8	2.4171331158272444e+77	7.631707003542943e+80	2.109039014557688e+78
8	5.570160101478057e+22	2.900817543069352e+26	2.563521791129778e+26
7	1.9576895686203212e-176	3.3025775434898187e-175	3.2624282826945927e-175
9	-1.7612767947351567e-135	-6.724214751890231e-141	-4.0554161089362217e-138
9	-1.4478580286055938e+147	-4.561853855952953e+140	-1.26025405321305e+141

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	95
1	69	95

end0.0ms (0%)

sample691.0ms (31.5%)

Algorithm

1×

intervals

Results

357.0ms

8000×

body

128

valid

Compiler

Compiled 209 to 132 computations (36.8% saved)

Details

analyze265.0ms (12.1%)

sample18.0ms (0.8%)

simplify115.0ms (5.3%)

prune3.0ms (0.1%)

localize8.0ms (0.4%)

rewrite24.0ms (1.1%)

series104.0ms (4.7%)

simplify80.0ms (3.7%)

prune74.0ms (3.4%)

localize13.0ms (0.6%)

rewrite54.0ms (2.5%)

series173.0ms (7.9%)

simplify102.0ms (4.6%)

prune202.0ms (9.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0%)

regimes165.0ms (7.5%)

bsearch84.0ms (3.8%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample691.0ms (31.5%)

Profiling