Details

analyze535.0ms (5.6%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample51.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	166×	body	128	valid
10.0ms	39×	body	2048	valid
6.0ms	27×	body	1024	valid
6.0ms	15×	body	4096	valid
1.0ms	24×	body	128	nan
1.0ms	5×	body	512	valid
1.0ms	17×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify500.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (381.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite177.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

33.3b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`sqrt-prod_binary64_776` `difference-of-squares_binary64_729` `times-frac_binary64_766` `associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-out--_binary64_712`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 74

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series825.0ms (8.6%)

Error

6.4b

Counts

4 → 66

Calls

4 calls:

269.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
175.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
171.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5510	2668

prune203.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	129	11	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	11	141

Error

6.2b

Counts

141 → 11

Compiler

Compiled 2916 to 1526 computations (47.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite161.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

28×	`add-sqr-sqrt_binary64_782`
18×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
13×	`associate-r_binary64_700`
10×	`times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
7×	`pow1_binary64_821`
6×	`associate-l_binary64_701`
5×	`flip3--_binary64_764` `flip--_binary64_735` `sqrt-prod_binary64_776`
4×	`difference-of-squares_binary64_729` `cancel-sign-sub-inv_binary64_726`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

4 → 83

Calls

4 calls:

17.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2366 to 1240 computations (47.6% saved)

series795.0ms (8.3%)

Error

6.2b

Counts

4 → 66

Calls

4 calls:

242.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
177.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
158.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2861 to 2182 computations (23.7% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5002	2914

prune195.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	150	10	160

Error

6.2b

Counts

160 → 10

Compiler

Compiled 3055 to 1596 computations (47.8% saved)

localize6.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 6.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune14.0ms (0.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	1	1
Total	10	10

Error

6.2b

Counts

10 → 10

Compiler

Compiled 134 to 95 computations (29.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
6.7b	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))
20.6b	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite256.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

22×	`add-sqr-sqrt_binary64_782`
16×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
13×	`associate-r_binary64_700`
11×	`add-log-exp_binary64_799`
10×	`times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-l_binary64_701`
3×	`sqrt-prod_binary64_776` `cancel-sign-sub-inv_binary64_726`
2×	`sqrt-div_binary64_777` `sum-log_binary64_851` `diff-log_binary64_852` `difference-of-squares_binary64_729` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sub-neg_binary64_753` `associate--r+_binary64_696` `pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 81

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))
13.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
7.0ms	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 3512 to 1607 computations (54.2% saved)

series616.0ms (6.4%)

Error

6.2b

Counts

4 → 53

Calls

4 calls:

203.0ms	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
176.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
113.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
64.0ms	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))

Compiler

Compiled 3946 to 2481 computations (37.1% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5354	2185

prune193.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	134	10	144

Error

6.2b

Counts

144 → 10

Compiler

Compiled 4115 to 2020 computations (50.9% saved)

regimes1.3s (13.4%)

Accuracy

Total 4.7b remaining (45%)

Threshold costs 0b (0%)

Compiler

Compiled 6696 to 4974 computations (25.7% saved)

bsearch72.0ms (0.7%)

Steps

Iters	Range		Point
8	1.1174011683600933e-45	3.090616621213472e-41	6.612192249716975e-43
10	-9.566101091422452e+29	-3.705054009934488e+18	-9.448798679205101e+29

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample3.4s (35.2%)

Algorithm

1×

intervals

Results

365.0ms	1145×	body	2048	valid
337.0ms	5165×	body	128	valid
192.0ms	766×	body	1024	valid
159.0ms	406×	body	4096	valid
65.0ms	330×	body	512	valid
41.0ms	683×	body	128	nan
28.0ms	361×	body	128	invalid
25.0ms	188×	body	256	valid

Compiler

Compiled 1763 to 1303 computations (26.1% saved)

Details

analyze535.0ms (5.6%)

sample51.0ms (0.5%)

simplify500.0ms (5.2%)

prune7.0ms (0.1%)

localize18.0ms (0.2%)

rewrite177.0ms (1.9%)

series825.0ms (8.6%)

simplify75.0ms (0.8%)

prune203.0ms (2.1%)

localize11.0ms (0.1%)

rewrite161.0ms (1.7%)

series795.0ms (8.3%)

simplify79.0ms (0.8%)

prune195.0ms (2%)

localize6.0ms (0.1%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify12.0ms (0.1%)

prune14.0ms (0.2%)

localize30.0ms (0.3%)

rewrite256.0ms (2.7%)

series616.0ms (6.4%)

simplify87.0ms (0.9%)

prune193.0ms (2%)

regimes1.3s (13.4%)

bsearch72.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (35.2%)

Profiling