Details

analyze494.0ms (7.8%)

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)

sample24.0ms (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)

simplify122.0ms (1.9%)

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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite87.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_782`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `*-un-lft-identity_binary64_760`
7×	`associate-l_binary64_701`
6×	`add-cube-cbrt_binary64_795`
4×	`pow1_binary64_821`
3×	`associate-r_binary64_700` `times-frac_binary64_766` `associate-/r*_binary64_704`
2×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `flip3--_binary64_764` `associate-l/_binary64_703` `flip--_binary64_735` `difference-of-squares_binary64_729` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `associate-/l/_binary64_707`
1×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705`

Counts

2 → 47

Calls

2 calls:

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

Compiler

Compiled 932 to 618 computations (33.7% saved)

series438.0ms (6.9%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

265.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
153.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 636 to 474 computations (25.5% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5329	993

prune77.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Error

0.0b

Counts

72 → 6

Compiler

Compiled 1108 to 504 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite244.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

153×	`times-frac_binary64_766`
128×	`add-sqr-sqrt_binary64_782`
110×	`*-un-lft-identity_binary64_760`
69×	`add-cube-cbrt_binary64_795`
30×	`difference-of-squares_binary64_729`
24×	`associate-/r*_binary64_704`
13×	`associate-l_binary64_701` `distribute-lft-out--_binary64_712`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
5×	`flip3--_binary64_764` `flip--_binary64_735` `div-inv_binary64_757`
4×	`pow1_binary64_821`
3×	`difference-of-sqr-1_binary64_730` `associate-r_binary64_700` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`add-log-exp_binary64_799` `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`

Counts

2 → 144

Calls

2 calls:

37.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

Compiler

Compiled 3304 to 1989 computations (39.8% saved)

series433.0ms (6.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

271.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
146.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

Compiler

Compiled 636 to 474 computations (25.5% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4970	3296
1	4970	3296

prune170.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	168	6	174

Error

0.0b

Counts

174 → 6

Compiler

Compiled 3244 to 1609 computations (50.4% 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))

rewrite148.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

12.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2026 to 1290 computations (36.3% saved)

series553.0ms (8.7%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

270.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
155.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
105.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 920 to 680 computations (26.1% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5337	1804

prune125.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	136	6	142

Error

0.0b

Counts

142 → 6

Compiler

Compiled 2203 to 1239 computations (43.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.3b	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
0.4b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))

rewrite150.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_782`
26×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
15×	`times-frac_binary64_766`
13×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
12×	`associate-r_binary64_700`
11×	`pow1_binary64_821`
7×	`sqrt-prod_binary64_776`
6×	`add-log-exp_binary64_799` `associate-*l/_binary64_703`
5×	`associate-l_binary64_701` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `associate-/l*_binary64_705`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
3×	`associate-/r*_binary64_704`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `*-commutative_binary64_691` `unswap-sqr_binary64_728` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735`
1×	`distribute-lft-out_binary64_711` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 100

Calls

4 calls:

16.0ms	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
15.0ms	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
5.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2424 to 785 computations (67.6% saved)

series647.0ms (10.2%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

221.0ms	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
193.0ms	(.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)) (sqrt.f64 m))
145.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
55.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1318 to 928 computations (29.6% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5182	2176

prune122.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Error

Counts

143 → 7

Compiler

Compiled 2544 to 845 computations (66.8% saved)

regimes399.0ms (6.3%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 3986 to 2865 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample1.8s (28.5%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
156.0ms	8063×	pre	128	true
2.0ms	63×	body	128	invalid

Compiler

Compiled 1308 to 940 computations (28.1% saved)

Details

analyze494.0ms (7.8%)

sample24.0ms (0.4%)

simplify122.0ms (1.9%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite87.0ms (1.4%)

series438.0ms (6.9%)

simplify58.0ms (0.9%)

prune77.0ms (1.2%)

localize7.0ms (0.1%)

rewrite244.0ms (3.8%)

series433.0ms (6.8%)

simplify88.0ms (1.4%)

prune170.0ms (2.7%)

localize7.0ms (0.1%)

rewrite148.0ms (2.3%)

series553.0ms (8.7%)

simplify62.0ms (1%)

prune125.0ms (2%)

localize9.0ms (0.1%)

rewrite150.0ms (2.4%)

series647.0ms (10.2%)

simplify65.0ms (1%)

prune122.0ms (1.9%)

regimes399.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (28.5%)

Profiling