Details

analyze264.0ms (8%)

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)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify111.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

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

29.9b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
4.4b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
29.4b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite101.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

11×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
9×	`times-frac_binary64_16452`
7×	`add-log-exp_binary64_16485`
5×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
3×	`pow1_binary64_16507` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`flip3--_binary64_16450` `associate-/l/_binary64_16393` `flip--_binary64_16421` `flip3-+_binary64_16449` `associate-/r/_binary64_16392` `flip-+_binary64_16420`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445` `div-inv_binary64_16443` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `sum-log_binary64_16537` `+-commutative_binary64_16376`

Counts

3 → 55

Calls

3 calls:

9.0ms	(/.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))

Compiler

Compiled 1867 to 967 computations (48.2% saved)

series374.0ms (11.4%)

Error

0.6b

Counts

3 → 36

Calls

3 calls:

118.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
115.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
113.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1290 to 993 computations (23% saved)

simplify95.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4923	2029
1	4923	2029

prune90.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Error

0.6b

Counts

92 → 4

Compiler

Compiled 2151 to 994 computations (53.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) -4)
0.0b	(.f64 (.f64 y y) 4)
4.4b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
29.4b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))

rewrite123.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

16×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-sqr-sqrt_binary64_16468`
14×	`pow1_binary64_16507` `add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
9×	`times-frac_binary64_16452`
6×	`add-log-exp_binary64_16485` `pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `associate-r_binary64_16386`
3×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`associate-/l/_binary64_16393` `associate-/r/_binary64_16392` `unswap-sqr_binary64_16414` `associate-l_binary64_16387` `*-commutative_binary64_16377`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `sum-log_binary64_16537` `+-commutative_binary64_16376`

Counts

4 → 80

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))
7.0ms	(.f64 (.f64 y y) 4)
6.0ms	(.f64 (.f64 y y) -4)
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 2565 to 1199 computations (53.3% saved)

series379.0ms (11.5%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

178.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)))
123.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
27.0ms	(.f64 (.f64 y y) -4)
26.0ms	(.f64 (.f64 y y) 4)

Compiler

Compiled 1461 to 1141 computations (21.9% saved)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5213	2100

prune111.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Error

0.6b

Counts

117 → 4

Compiler

Compiled 2827 to 1364 computations (51.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.6b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 1 to 3 computations (-200% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.6b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes378.0ms (11.5%)

Accuracy

Total 11.9b remaining (96.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3506 to 2139 computations (39% saved)

bsearch79.0ms (2.4%)

Steps

Iters	Range		Point
8	4.28400217743663e+57	5.3563861648109516e+60	4.2570861844495726e+60
7	3.2007724264173534e-126	3.104791689893573e-124	5.953212649517357e-125
8	-2.3649956502336875e-127	-1.2093324499613983e-130	-1.0721373441130267e-128
7	-7.186339190860208e+137	-2.883951387828719e+136	-1.6967133039338246e+137

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	152
1	79	152

end0.0ms (0%)

sample1.0s (31.5%)

Algorithm

1×

intervals

Results

355.0ms

8000×

body

128

valid

Compiler

Compiled 780 to 464 computations (40.5% saved)

Details

analyze264.0ms (8%)

sample20.0ms (0.6%)

simplify111.0ms (3.4%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite101.0ms (3.1%)

series374.0ms (11.4%)

simplify95.0ms (2.9%)

prune90.0ms (2.7%)

localize11.0ms (0.3%)

rewrite123.0ms (3.7%)

series379.0ms (11.5%)

simplify85.0ms (2.6%)

prune111.0ms (3.4%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

regimes378.0ms (11.5%)

bsearch79.0ms (2.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (31.5%)

Profiling