Details

analyze12.0ms (0.2%)

Algorithm

1×

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 (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify244.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

prune6.0ms (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)

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
2.6b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
29.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite136.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

11×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
9×	`times-frac_binary64_15088`
7×	`add-log-exp_binary64_15121`
5×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
3×	`pow1_binary64_15143` `associate-/l_binary64_15027` `associate-/r_binary64_15026`
2×	`flip3--_binary64_15086` `associate-/l/_binary64_15029` `flip--_binary64_15057` `flip3-+_binary64_15085` `associate-/r/_binary64_15028` `flip-+_binary64_15056`
1×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `div-inv_binary64_15079` `diff-log_binary64_15174` `sub-neg_binary64_15075` `cancel-sign-sub-inv_binary64_15048` `sum-log_binary64_15173` `+-commutative_binary64_15012`

Counts

3 → 55

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
8.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1867 to 967 computations (48.2% saved)

series590.0ms (12.2%)

Error

0.3b

Counts

3 → 39

Calls

3 calls:

222.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
170.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
161.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1446 to 1125 computations (22.2% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5244	2122

prune121.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Error

0.3b

Counts

95 → 5

Compiler

Compiled 2244 to 1050 computations (53.2% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

0.3b

Counts

5 → 5

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) 4)
0.0b	(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4))))
19.8b	(/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
23.5b	(/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))

rewrite254.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

23×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
16×	`add-sqr-sqrt_binary64_15104`
13×	`*-un-lft-identity_binary64_15082`
11×	`add-cube-cbrt_binary64_15117`
10×	`times-frac_binary64_15088` `associate-/r/_binary64_15028`
9×	`pow1_binary64_15143` `cancel-sign-sub-inv_binary64_15048`
7×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
6×	`add-log-exp_binary64_15121` `associate-/r*_binary64_15026`
5×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `flip3-+_binary64_15085` `flip-+_binary64_15056`
3×	`distribute-rgt-out--_binary64_15036` `pow-prod-down_binary64_15153` `associate-r_binary64_15022`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l*_binary64_15027` `difference-of-squares_binary64_15051`
1×	`diff-log_binary64_15174` `frac-sub_binary64_15091` `sub-div_binary64_15089` `flip3--_binary64_15086` `sub-neg_binary64_15075` `flip--_binary64_15057` `distribute-lft-out--_binary64_15034` `unswap-sqr_binary64_15050` `associate-l_binary64_15023` `*-commutative_binary64_15013`

Counts

4 → 95

Calls

4 calls:

36.0ms	(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4))))
14.0ms	(/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
13.0ms	(.f64 (.f64 y y) 4)
11.0ms	(/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))

Compiler

Compiled 4090 to 1712 computations (58.1% saved)

series764.0ms (15.8%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

346.0ms	(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4))) (/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4))))
163.0ms	(/.f64 (.f64 (.f64 y y) 4) (+.f64 (.f64 x x) (.f64 (*.f64 y y) 4)))
159.0ms	(/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
43.0ms	(.f64 (.f64 y y) 4)

Compiler

Compiled 2379 to 1675 computations (29.6% saved)

simplify146.0ms (3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4975	3283
1	4975	3283

prune183.0ms (3.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Error

0.3b

Counts

142 → 5

Compiler

Compiled 4421 to 1923 computations (56.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
14.2b	(/.f64 (.f64 y y) (.f64 x x))

rewrite67.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

32×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
13×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
8×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
7×	`add-sqr-sqrt_binary64_15104`
5×	`associate-r_binary64_15022`
4×	`pow1_binary64_15143` `add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
3×	`times-frac_binary64_15088` `associate-l_binary64_15023`
2×	`add-log-exp_binary64_15121` `div-inv_binary64_15079` `unswap-sqr_binary64_15050`
1×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l_binary64_15027` `associate-/r_binary64_15026` `pow-prod-down_binary64_15153` `associate-r/_binary64_15024` `-commutative_binary64_15013`

Counts

2 → 51

Calls

2 calls:

9.0ms	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
6.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 963 to 368 computations (61.8% saved)

series221.0ms (4.6%)

Error

0.3b

Counts

2 → 12

Calls

2 calls:

119.0ms	(.f64 8 (/.f64 (.f64 y y) (*.f64 x x)))
94.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4963	723
1	4963	723

prune61.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	64	4	68

Error

0.2b

Counts

68 → 4

Compiler

Compiled 814 to 408 computations (49.9% saved)

regimes549.0ms (11.3%)

Accuracy

Total 12.4b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3288 to 2108 computations (35.9% saved)

bsearch122.0ms (2.5%)

Steps

Iters	Range		Point
9	1.5666264876119086e+127	1.3626018206749415e+134	1.326325169906906e+128
8	6.7484429137041945e-130	6.2515757339242805e-127	1.45879755932371e-128
9	-4.108197862560009e-59	-1.0686970421608584e-68	-1.9184276867004103e-67
8	-4.6326705199715326e+148	-6.929165294621969e+144	-4.569228095431844e+148
10	-9.857324987854033e+169	-4.7816241200997074e+159	-4.840441743074084e+159

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	143	136
1	143	136

end0.0ms (0%)

sample1.1s (22.8%)

Algorithm

1×

intervals

Results

375.0ms

8000×

body

128

valid

Compiler

Compiled 668 to 419 computations (37.3% saved)

Details

analyze12.0ms (0.2%)

sample20.0ms (0.4%)

simplify244.0ms (5%)

prune6.0ms (0.1%)

localize24.0ms (0.5%)

rewrite136.0ms (2.8%)

series590.0ms (12.2%)

simplify78.0ms (1.6%)

prune121.0ms (2.5%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune5.0ms (0.1%)

localize12.0ms (0.2%)

rewrite254.0ms (5.2%)

series764.0ms (15.8%)

simplify146.0ms (3%)

prune183.0ms (3.8%)

localize8.0ms (0.2%)

rewrite67.0ms (1.4%)

series221.0ms (4.6%)

simplify99.0ms (2%)

prune61.0ms (1.3%)

regimes549.0ms (11.3%)

bsearch122.0ms (2.5%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.1s (22.8%)

Profiling