Details

analyze497.0ms (7.1%)

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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune3.0ms (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)

localize7.0ms (0.1%)

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)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite224.0ms (3.2%)

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:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1706 to 1122 computations (34.2% saved)

series722.0ms (10.4%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

274.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
205.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
160.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
59.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 892 to 692 computations (22.4% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	1752
1	4991	1752

prune141.0ms (2%)

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 1523 to 752 computations (50.6% saved)

localize8.0ms (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)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite445.0ms (6.4%)

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 2136 to 1380 computations (35.4% saved)

series745.0ms (10.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

266.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
196.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
153.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
102.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1022 to 783 computations (23.4% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5598	2164

prune162.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	165	9	174

Error

0.0b

Counts

174 → 9

Compiler

Compiled 1913 to 1121 computations (41.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite145.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
13×	`associate-l_binary64_701`
12×	`add-cube-cbrt_binary64_795`
10×	`times-frac_binary64_766`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cancel-sign-sub-inv_binary64_726`
7×	`add-log-exp_binary64_799`
6×	`sub-neg_binary64_753`
5×	`pow1_binary64_821` `associate-r_binary64_700`
4×	`flip3--_binary64_764` `flip--_binary64_735` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate--l+_binary64_697`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*r/_binary64_702` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `diff-log_binary64_852`
1×	`pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-l/_binary64_703` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

3 → 74

Calls

3 calls:

12.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
9.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1414 to 307 computations (78.3% saved)

series545.0ms (7.8%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

288.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
185.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
54.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 634 to 479 computations (24.4% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4896	1463
1	4896	1463

prune109.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Error

0.0b

Counts

113 → 9

Compiler

Compiled 1233 to 395 computations (68% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m)) m)
0.0b	(-.f64 (sqrt.f64 m) m)
0.3b	(*.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m)))
0.3b	(.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))

rewrite287.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_782`
31×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
18×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `frac-times_binary64_770` `cancel-sign-sub-inv_binary64_726`
15×	`associate-r_binary64_700`
14×	`associate-l_binary64_701`
11×	`pow1_binary64_821`
10×	`associate-*r/_binary64_702` `times-frac_binary64_766`
9×	`associate-*l/_binary64_703` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
8×	`add-log-exp_binary64_799` `flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734` `associate--l+_binary64_697`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`sub-neg_binary64_753`
5×	`sqrt-prod_binary64_776`
4×	`pow-prod-down_binary64_831` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `distribute-lft-out--_binary64_712` `*-commutative_binary64_691` `unswap-sqr_binary64_728` `distribute-rgt-out_binary64_713` `diff-log_binary64_852`
1×	`div-inv_binary64_757` `distribute-lft1-in_binary64_715` `distribute-lft-out_binary64_711`

Counts

4 → 133

Calls

4 calls:

17.0ms	(-.f64 (.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m)) m)
16.0ms	(.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))
11.0ms	(*.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m)))
5.0ms	(-.f64 (sqrt.f64 m) m)

Compiler

Compiled 3270 to 617 computations (81.1% saved)

series591.0ms (8.5%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

254.0ms	(-.f64 (.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m)) m)
195.0ms	(.f64 (.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m))) (-.f64 (sqrt.f64 m) m))
106.0ms	(*.f64 (/.f64 m v) (+.f64 m (sqrt.f64 m)))
18.0ms	(-.f64 (sqrt.f64 m) m)

Compiler

Compiled 832 to 606 computations (27.2% saved)

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4973	2785
1	4973	2785

prune176.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	5	1	6
Picked	0	1	1
Done	0	2	2
Total	163	7	170

Error

0.0b

Counts

170 → 7

Compiler

Compiled 2183 to 523 computations (76% saved)

regimes831.0ms (11.9%)

Accuracy

Total 0.2b remaining (92.4%)

Threshold costs 0.2b (92.4%)

Compiler

Compiled 8127 to 5804 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample850.0ms (12.2%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
150.0ms	8055×	pre	128	true
2.0ms	55×	body	128	invalid

Compiler

Compiled 145 to 108 computations (25.5% saved)

Details

analyze497.0ms (7.1%)

sample27.0ms (0.4%)

simplify122.0ms (1.8%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite224.0ms (3.2%)

series722.0ms (10.4%)

simplify59.0ms (0.9%)

prune141.0ms (2%)

localize8.0ms (0.1%)

rewrite445.0ms (6.4%)

series745.0ms (10.7%)

simplify69.0ms (1%)

prune162.0ms (2.3%)

localize7.0ms (0.1%)

rewrite145.0ms (2.1%)

series545.0ms (7.8%)

simplify90.0ms (1.3%)

prune109.0ms (1.6%)

localize10.0ms (0.1%)

rewrite287.0ms (4.1%)

series591.0ms (8.5%)

simplify96.0ms (1.4%)

prune176.0ms (2.5%)

regimes831.0ms (11.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample850.0ms (12.2%)

Profiling