Details

analyze459.0ms (8.6%)

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)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify126.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (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 3 expressions with local error:

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

rewrite119.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 78

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1467 to 952 computations (35.1% saved)

series318.0ms (6%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

159.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
101.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
36.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 793 to 594 computations (25.1% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5040	1287

prune100.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Error

Counts

109 → 9

Compiler

Compiled 1735 to 812 computations (53.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite136.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-sqr-sqrt_binary64_782`
48×	`*-un-lft-identity_binary64_760`
37×	`times-frac_binary64_766`
27×	`add-cube-cbrt_binary64_795`
25×	`associate-r_binary64_700`
14×	`difference-of-squares_binary64_729`
12×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821` `distribute-lft-out--_binary64_712`
6×	`associate-l_binary64_701` `associate-/l*_binary64_705`
3×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `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` `flip3--_binary64_764` `associate-l/_binary64_703` `flip--_binary64_735` `associate-/l/_binary64_707`
1×	`associate-*r/_binary64_702` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759`

Counts

3 → 103

Calls

3 calls:

14.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2026 to 1290 computations (36.3% saved)

series356.0ms (6.7%)

Error

Counts

3 → 33

Calls

3 calls:

167.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
106.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
62.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 920 to 680 computations (26.1% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5337	1804

prune115.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	137	8	145

Error

Counts

145 → 8

Compiler

Compiled 2293 to 1297 computations (43.4% saved)

localize6.0ms (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)
0.3b	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))

rewrite77.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

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:

9.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
8.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1440 to 313 computations (78.3% saved)

series372.0ms (7%)

Error

Counts

3 → 30

Calls

3 calls:

178.0ms	(-.f64 (.f64 (/.f64 m v) (-.f64 m (.f64 m m))) m)
133.0ms	(.f64 (/.f64 m v) (-.f64 m (.f64 m m)))
39.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 785 to 569 computations (27.5% saved)

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4896	1463
1	4896	1463

prune70.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Error

Counts

112 → 8

Compiler

Compiled 1641 to 450 computations (72.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 m v))
0.1b	(sqrt.f64 (/.f64 m v))
0.2b	(.f64 (-.f64 m (.f64 m m)) (sqrt.f64 (/.f64 m v)))
0.3b	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 m v))))

rewrite155.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`sqrt-prod_binary64_776`
49×	`add-sqr-sqrt_binary64_782`
39×	`times-frac_binary64_766`
36×	`*-un-lft-identity_binary64_760`
35×	`add-cube-cbrt_binary64_795`
21×	`associate-l_binary64_701`
17×	`sqrt-div_binary64_777` `associate-r_binary64_700`
13×	`pow1_binary64_821`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
8×	`associate-*r/_binary64_702`
7×	`associate-*l/_binary64_703`
6×	`flip3--_binary64_764` `flip--_binary64_735`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `div-inv_binary64_757` `rem-sqrt-square_binary64_773`
3×	`unswap-sqr_binary64_728`
2×	`*-commutative_binary64_691` `pow1/2_binary64_840` `sqrt-pow1_binary64_778`
1×	`difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714`

Counts

4 → 132

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 m v))))
14.0ms	(.f64 (-.f64 m (.f64 m m)) (sqrt.f64 (/.f64 m v)))
3.0ms	(sqrt.f64 (/.f64 m v))
3.0ms	(sqrt.f64 (/.f64 m v))

Compiler

Compiled 3393 to 628 computations (81.5% saved)

series276.0ms (5.2%)

Error

Counts

4 → 26

Calls

4 calls:

111.0ms	(.f64 (sqrt.f64 (/.f64 m v)) (.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 m v))))
77.0ms	(.f64 (-.f64 m (.f64 m m)) (sqrt.f64 (/.f64 m v)))
36.0ms	(sqrt.f64 (/.f64 m v))
35.0ms	(sqrt.f64 (/.f64 m v))

Compiler

Compiled 1520 to 962 computations (36.7% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4993	2459
1	4993	2459

prune109.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	158	8	166

Error

Counts

166 → 8

Compiler

Compiled 3368 to 689 computations (79.5% saved)

regimes364.0ms (6.8%)

Accuracy

Total 0.2b remaining (98.6%)

Threshold costs 0.2b (98.6%)

Compiler

Compiled 3935 to 2838 computations (27.9% 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

end0.0ms (0%)

sample1.8s (34%)

Algorithm

1×

intervals

Results

243.0ms	8000×	body	128	valid
163.0ms	8065×	pre	128	true
2.0ms	65×	body	128	invalid

Compiler

Compiled 1291 to 929 computations (28% saved)

Details

analyze459.0ms (8.6%)

sample23.0ms (0.4%)

simplify126.0ms (2.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite119.0ms (2.2%)

series318.0ms (6%)

simplify53.0ms (1%)

prune100.0ms (1.9%)

localize7.0ms (0.1%)

rewrite136.0ms (2.6%)

series356.0ms (6.7%)

simplify66.0ms (1.2%)

prune115.0ms (2.2%)

localize6.0ms (0.1%)

rewrite77.0ms (1.5%)

series372.0ms (7%)

simplify94.0ms (1.8%)

prune70.0ms (1.3%)

localize9.0ms (0.2%)

rewrite155.0ms (2.9%)

series276.0ms (5.2%)

simplify84.0ms (1.6%)

prune109.0ms (2.1%)

regimes364.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (34%)

Profiling