Details

analyze608.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify178.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (172.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune4.0ms (0%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite159.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_782`
22×	`*-un-lft-identity_binary64_760`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
10×	`associate-l_binary64_701`
9×	`associate-r_binary64_700` `cancel-sign-sub-inv_binary64_726`
8×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
4×	`flip3--_binary64_764` `flip--_binary64_735` `associate-*r/_binary64_702` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `distribute-lft-out--_binary64_712` `times-frac_binary64_766` `associate-/r*_binary64_704` `sub-neg_binary64_753`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `difference-of-sqr-1_binary64_730` `-commutative_binary64_691` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l*_binary64_705` `diff-log_binary64_852`

Counts

4 → 96

Calls

4 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1843 to 1217 computations (34% saved)

series576.0ms (6.9%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

208.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
164.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
115.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
49.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1157 to 849 computations (26.6% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	1752
1	4991	1752

prune153.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	132	9	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.0b

Counts

142 → 9

Compiler

Compiled 2139 to 945 computations (55.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
0.0b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

rewrite336.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

162×	`times-frac_binary64_766`
151×	`add-sqr-sqrt_binary64_782`
117×	`*-un-lft-identity_binary64_760`
71×	`add-cube-cbrt_binary64_795`
36×	`difference-of-squares_binary64_729`
24×	`associate-/r*_binary64_704`
14×	`distribute-lft-out--_binary64_712`
13×	`associate-l_binary64_701`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`associate-/r/_binary64_706`
6×	`flip3--_binary64_764` `flip--_binary64_735` `difference-of-sqr-1_binary64_730`
5×	`pow1_binary64_821` `add-log-exp_binary64_799` `div-inv_binary64_757`
3×	`associate-r_binary64_700` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l*_binary64_705` `cancel-sign-sub-inv_binary64_726`
2×	`associate-*l/_binary64_703`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

3 → 168

Calls

3 calls:

46.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
33.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
22.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

Compiler

Compiled 3840 to 2354 computations (38.7% saved)

series521.0ms (6.2%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

203.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
172.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
117.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

Compiler

Compiled 1000 to 729 computations (27.1% saved)

simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4956	3975
1	4956	3975

prune209.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	207	9	216

Error

0.0b

Counts

216 → 9

Compiler

Compiled 3913 to 1903 computations (51.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite169.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary64_782`
50×	`*-un-lft-identity_binary64_760`
37×	`times-frac_binary64_766`
29×	`add-cube-cbrt_binary64_795`
25×	`associate-r_binary64_700`
14×	`difference-of-squares_binary64_729`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`pow1_binary64_821`
7×	`distribute-lft-out--_binary64_712`
6×	`add-log-exp_binary64_799` `associate-l_binary64_701` `associate-/l*_binary64_705`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726` `associate-/r*_binary64_704`
2×	`pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `-commutative_binary64_691` `associate-l/_binary64_703` `associate-/l/_binary64_707`
1×	`associate-*r/_binary64_702` `diff-log_binary64_852` `sub-neg_binary64_753` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759`

Counts

4 → 117

Calls

4 calls:

12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
8.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
7.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2318 to 1496 computations (35.5% saved)

series653.0ms (7.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

198.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
150.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
141.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
104.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1284 to 935 computations (27.2% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5598	2164

prune160.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	165	9	174

Error

0.0b

Counts

174 → 9

Compiler

Compiled 2634 to 1506 computations (42.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
0.3b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (-.f64 1 m) (sqrt.f64 v))
0.4b	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))

rewrite369.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

145×	`add-sqr-sqrt_binary64_782`
120×	`times-frac_binary64_766`
113×	`*-un-lft-identity_binary64_760`
74×	`add-cube-cbrt_binary64_795`
66×	`sqrt-prod_binary64_776`
43×	`associate-r_binary64_700`
26×	`difference-of-squares_binary64_729`
25×	`associate-l_binary64_701`
22×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
13×	`distribute-lft-out--_binary64_712`
12×	`associate-/r*_binary64_704`
10×	`unswap-sqr_binary64_728`
9×	`associate-/l*_binary64_705`
8×	`pow1_binary64_821`
6×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
5×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
4×	`add-log-exp_binary64_799` `div-inv_binary64_757`
3×	`associate-*l/_binary64_703`
2×	`pow-prod-down_binary64_831` `*-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`frac-times_binary64_770` `associate-*r/_binary64_702` `div-sub_binary64_765`

Counts

4 → 213

Calls

4 calls:

51.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
21.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
8.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 5320 to 2505 computations (52.9% saved)

series557.0ms (6.7%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

239.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) m)
113.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
93.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
82.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1437 to 1056 computations (26.5% saved)

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4976	4162
1	4976	4162

prune293.0ms (3.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	251	9	260

Error

0.0b

Counts

260 → 9

Compiler

Compiled 5149 to 2452 computations (52.4% saved)

regimes526.0ms (6.3%)

Accuracy

Total 0.2b remaining (98.7%)

Threshold costs 0.2b (98.7%)

Compiler

Compiled 4184 to 3090 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms (0%)

sample2.4s (28.9%)

Algorithm

1×

intervals

Results

307.0ms	8000×	body	128	valid
190.0ms	8064×	pre	128	true
2.0ms	64×	body	128	invalid

Compiler

Compiled 1376 to 1016 computations (26.2% saved)

Details

analyze608.0ms (7.3%)

sample31.0ms (0.4%)

simplify178.0ms (2.1%)

prune4.0ms (0%)

localize14.0ms (0.2%)

rewrite159.0ms (1.9%)

series576.0ms (6.9%)

simplify67.0ms (0.8%)

prune153.0ms (1.8%)

localize8.0ms (0.1%)

rewrite336.0ms (4%)

series521.0ms (6.2%)

simplify124.0ms (1.5%)

prune209.0ms (2.5%)

localize7.0ms (0.1%)

rewrite169.0ms (2%)

series653.0ms (7.8%)

simplify81.0ms (1%)

prune160.0ms (1.9%)

localize11.0ms (0.1%)

rewrite369.0ms (4.4%)

series557.0ms (6.7%)

simplify134.0ms (1.6%)

prune293.0ms (3.5%)

regimes526.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (28.9%)

Profiling