Details

analyze692.0ms (6.1%)

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)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	180×	body	128	valid
9.0ms	35×	body	2048	valid
3.0ms	10×	body	4096	valid
3.0ms	14×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	14×	body	128	invalid
1.0ms	6×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify322.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (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

32.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite153.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

31.7b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series671.0ms (5.9%)

Error

5.5b

Counts

4 → 62

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
161.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2711 to 2080 computations (23.3% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5476	2621

prune143.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Error

5.4b

Counts

137 → 8

Compiler

Compiled 2779 to 1467 computations (47.2% 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))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite136.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

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:

15.0ms	(.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)

series641.0ms (5.7%)

Error

5.4b

Counts

4 → 62

Calls

4 calls:

190.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
162.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
131.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
117.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2711 to 2080 computations (23.3% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5115	2867

prune138.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Error

5.4b

Counts

153 → 8

Compiler

Compiled 2995 to 1584 computations (47.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.0s (8.9%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

693×	`times-frac_binary64_766`
439×	`add-sqr-sqrt_binary64_782`
364×	`*-un-lft-identity_binary64_760`
290×	`add-cube-cbrt_binary64_795`
74×	`difference-of-squares_binary64_729`
71×	`associate-/r*_binary64_704`
40×	`sqrt-prod_binary64_776`
37×	`distribute-lft-out--_binary64_712`
25×	`add-exp-log_binary64_798`
17×	`div-inv_binary64_757`
15×	`div-exp_binary64_811`
13×	`add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
6×	`pow1_binary64_821` `cbrt-undiv_binary64_794`
5×	`associate-/r/_binary64_706`
4×	`cancel-sign-sub-inv_binary64_726`
3×	`flip3--_binary64_764` `flip--_binary64_735` `1-exp_binary64_804` `rec-exp_binary64_810` `associate-/l*_binary64_705`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 356

Calls

4 calls:

27.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series667.0ms (5.9%)

Error

5.4b

Counts

4 → 62

Calls

4 calls:

193.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
125.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2957 to 2326 computations (21.3% saved)

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4967	16928
1	4967	16928

prune749.0ms (6.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	416	2	418
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	417	9	426

Error

5.4b

Counts

426 → 9

Compiler

Compiled 13474 to 7474 computations (44.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite136.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

18×	`add-sqr-sqrt_binary64_782`
12×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
6×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `difference-of-squares_binary64_729`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712`

Counts

4 → 64

Calls

4 calls:

10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series605.0ms (5.3%)

Error

5.4b

Counts

4 → 60

Calls

4 calls:

140.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
140.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
128.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
128.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5274 to 3571 computations (32.3% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4956	2180
1	4956	2180

prune166.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	124	9	133

Error

5.4b

Counts

133 → 9

Compiler

Compiled 4220 to 2180 computations (48.3% saved)

regimes1.5s (12.9%)

Accuracy

Total 5.2b remaining (48.3%)

Threshold costs 0b (0%)

Compiler

Compiled 8624 to 6450 computations (25.2% saved)

bsearch69.0ms (0.6%)

Steps

Iters	Range		Point
9	1.4296641515671036e-34	2.6660189659293962e-27	1.4523893139844537e-34
7	-4.383626312485303e+32	-5.534994891048667e+30	-4.304281223416085e+32

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	54
1	98	54

end0.0ms (0%)

sample3.0s (26.8%)

Algorithm

1×

intervals

Results

294.0ms	1126×	body	2048	valid
280.0ms	5210×	body	128	valid
139.0ms	702×	body	1024	valid
128.0ms	406×	body	4096	valid
54.0ms	370×	body	512	valid
34.0ms	701×	body	128	nan
23.0ms	406×	body	128	invalid
18.0ms	186×	body	256	valid

Compiler

Compiled 2242 to 1672 computations (25.4% saved)

Details

analyze692.0ms (6.1%)

sample41.0ms (0.4%)

simplify322.0ms (2.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite153.0ms (1.4%)

series671.0ms (5.9%)

simplify71.0ms (0.6%)

prune143.0ms (1.3%)

localize11.0ms (0.1%)

rewrite136.0ms (1.2%)

series641.0ms (5.7%)

simplify74.0ms (0.6%)

prune138.0ms (1.2%)

localize12.0ms (0.1%)

rewrite1.0s (8.9%)

series667.0ms (5.9%)

simplify212.0ms (1.9%)

prune749.0ms (6.6%)

localize14.0ms (0.1%)

rewrite136.0ms (1.2%)

series605.0ms (5.3%)

simplify95.0ms (0.8%)

prune166.0ms (1.5%)

regimes1.5s (12.9%)

bsearch69.0ms (0.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.0s (26.8%)

Profiling