Details

analyze1.3s (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

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)

sample85.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	41×	body	2048	valid
16.0ms	159×	body	128	valid
12.0ms	19×	body	4096	valid
7.0ms	19×	body	1024	valid
3.0ms	11×	body	512	valid
2.0ms	26×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify571.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (560.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0%)

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

34.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.1%)

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))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite259.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

34.3b

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:

20.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
18.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
7.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series1.3s (7%)

Error

5.9b

Counts

4 → 75

Calls

4 calls:

421.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
266.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
265.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
260.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3480 to 2635 computations (24.3% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5284	3116

prune283.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

5.8b

Counts

150 → 11

Compiler

Compiled 3187 to 1705 computations (46.5% saved)

localize30.0ms (0.2%)

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))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite231.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

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×	`cancel-sign-sub-inv_binary64_726` `difference-of-squares_binary64_729`
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:

28.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
13.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
7.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2366 to 1240 computations (47.6% saved)

series1.3s (6.9%)

Error

5.8b

Counts

4 → 75

Calls

4 calls:

437.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
254.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
252.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
251.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3480 to 2635 computations (24.3% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5218	3362

prune272.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Error

5.8b

Counts

169 → 11

Compiler

Compiled 3390 to 1818 computations (46.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
9.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite254.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

15×	`*-un-lft-identity_binary64_760`
14×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-prod_binary64_776`
8×	`add-log-exp_binary64_799` `cancel-sign-sub-inv_binary64_726`
6×	`associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `div-inv_binary64_757`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `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` `frac-sub_binary64_769` `sub-div_binary64_767` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r*_binary64_704`

Counts

4 → 80

Calls

4 calls:

28.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
15.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
7.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2581 to 1448 computations (43.9% saved)

series1.7s (9%)

Error

5.8b

Counts

4 → 78

Calls

4 calls:

550.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
443.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
304.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
282.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4129 to 3101 computations (24.9% saved)

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5033	3412

prune309.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	158	11	169

Error

5.8b

Counts

169 → 11

Compiler

Compiled 3848 to 2171 computations (43.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
10.1b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite218.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

8×	`add-log-exp_binary64_799`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cbrt-prod_binary64_791`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `cbrt-div_binary64_792` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
2×	`pow1/3_binary64_842` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 52

Calls

4 calls:

18.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
8.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
7.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2261 to 1179 computations (47.9% saved)

series2.2s (11.5%)

Error

5.8b

Counts

4 → 77

Calls

4 calls:

735.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
499.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
453.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
274.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 8358 to 6354 computations (24% saved)

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4951	3831
1	4951	3831

prune336.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	129	11	140

Error

5.8b

Counts

140 → 11

Compiler

Compiled 4737 to 2675 computations (43.5% saved)

regimes2.4s (12.7%)

Accuracy

Total 4.8b remaining (46.2%)

Threshold costs 0b (0%)

Compiler

Compiled 6536 to 4814 computations (26.3% saved)

bsearch125.0ms (0.7%)

Steps

Iters	Range		Point
8	6.51752717363162e-132	1.1912756836542517e-128	1.135926060952553e-128
10	-1.3661910617916625e+154	-5.713820485270025e+143	-6.95099078172988e+146

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample5.2s (27.4%)

Algorithm

1×

intervals

Results

570.0ms	1102×	body	2048	valid
554.0ms	5218×	body	128	valid
299.0ms	732×	body	1024	valid
247.0ms	390×	body	4096	valid
113.0ms	380×	body	512	valid
71.0ms	686×	body	128	nan
37.0ms	369×	body	128	invalid
35.0ms	178×	body	256	valid

Compiler

Compiled 1723 to 1263 computations (26.7% saved)

Details

analyze1.3s (6.8%)

sample85.0ms (0.4%)

simplify571.0ms (3%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite259.0ms (1.4%)

series1.3s (7%)

simplify96.0ms (0.5%)

prune283.0ms (1.5%)

localize30.0ms (0.2%)

rewrite231.0ms (1.2%)

series1.3s (6.9%)

simplify103.0ms (0.5%)

prune272.0ms (1.4%)

localize24.0ms (0.1%)

rewrite254.0ms (1.3%)

series1.7s (9%)

simplify108.0ms (0.6%)

prune309.0ms (1.6%)

localize30.0ms (0.2%)

rewrite218.0ms (1.1%)

series2.2s (11.5%)

simplify157.0ms (0.8%)

prune336.0ms (1.8%)

regimes2.4s (12.7%)

bsearch125.0ms (0.7%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.2s (27.4%)

Profiling