Details

analyze458.0ms (6.2%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

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 (/.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)

rewrite106.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-cube-cbrt_binary64_795`
7×	`associate-l_binary64_701`
5×	`pow1_binary64_821` `add-log-exp_binary64_799`
4×	`difference-of-squares_binary64_729`
3×	`flip3--_binary64_764` `flip--_binary64_735` `associate-r_binary64_700` `times-frac_binary64_766` `associate-/r*_binary64_704` `cancel-sign-sub-inv_binary64_726`
2×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-l/_binary64_703` `difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `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` `-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

3 → 65

Calls

3 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)
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1308 to 883 computations (32.5% saved)

series427.0ms (5.8%)

Error

0.1b

Counts

3 → 39

Calls

3 calls:

175.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
129.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
97.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1000 to 729 computations (27.1% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5647	1456

prune90.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Error

Counts

105 → 9

Compiler

Compiled 1669 to 736 computations (55.9% saved)

localize10.0ms (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))

rewrite159.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

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:

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

series520.0ms (7.1%)

Error

Counts

4 → 48

Calls

4 calls:

182.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
140.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
109.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
62.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1284 to 935 computations (27.2% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5598	2164

prune133.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	3	4	7
Picked	0	1	1
Done	1	0	1
Total	167	7	174

Error

Counts

174 → 7

Compiler

Compiled 2649 to 1522 computations (42.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)
0.2b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
0.3b	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))
0.4b	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))

rewrite176.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_782`
31×	`associate-l_binary64_701`
30×	`*-un-lft-identity_binary64_760`
21×	`add-cube-cbrt_binary64_795`
20×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `times-frac_binary64_766`
13×	`pow1_binary64_821`
10×	`associate-r_binary64_700`
8×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `sqrt-prod_binary64_776`
6×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
5×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728`
4×	`associate-*l/_binary64_703`
3×	`distribute-lft-out--_binary64_712` `*-commutative_binary64_691` `cancel-sign-sub-inv_binary64_726`
2×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `flip3--_binary64_764` `flip--_binary64_735`
1×	`div-inv_binary64_757` `associate-*r/_binary64_702` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 104

Calls

4 calls:

15.0ms	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)
15.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
12.0ms	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))
12.0ms	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))

Compiler

Compiled 2627 to 1453 computations (44.7% saved)

series484.0ms (6.6%)

Error

Counts

4 → 40

Calls

4 calls:

168.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
119.0ms	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)
88.0ms	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))
86.0ms	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))

Compiler

Compiled 1235 to 903 computations (26.9% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5096	2024

prune126.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	144	7	151

Error

Counts

151 → 7

Compiler

Compiled 2591 to 1506 computations (41.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (-.f64 1 m))
0.0b	(-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m))
0.4b	(*.f64 (-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m)) (sqrt.f64 m))
14.9b	(/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m)))

rewrite747.0ms (10.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

366×	`times-frac_binary64_766`
322×	`add-sqr-sqrt_binary64_782`
238×	`*-un-lft-identity_binary64_760`
150×	`add-cube-cbrt_binary64_795`
84×	`difference-of-squares_binary64_729`
83×	`unpow-prod-down_binary64_839`
33×	`sqr-pow_binary64_732`
30×	`distribute-lft-out--_binary64_712` `associate-/r*_binary64_704`
21×	`add-exp-log_binary64_798` `sqrt-prod_binary64_776`
19×	`associate-/r/_binary64_706`
18×	`associate-l_binary64_701`
13×	`add-cbrt-cube_binary64_796`
11×	`flip3--_binary64_764` `flip--_binary64_735`
10×	`div-exp_binary64_811` `div-inv_binary64_757` `associate-/l*_binary64_705`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `associate-r_binary64_700` `cancel-sign-sub-inv_binary64_726`
4×	`cbrt-undiv_binary64_794`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `frac-2neg_binary64_771` `clear-num_binary64_759` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 330

Calls

4 calls:

86.0ms	(*.f64 (-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m)) (sqrt.f64 m))
84.0ms	(-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m))
14.0ms	(/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 9503 to 5530 computations (41.8% saved)

series638.0ms (8.7%)

Error

Counts

4 → 39

Calls

4 calls:

236.0ms	(*.f64 (-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m)) (sqrt.f64 m))
170.0ms	(-.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m))) (sqrt.f64 m))
120.0ms	(/.f64 (pow.f64 m 3/2) (/.f64 v (-.f64 1 m)))
80.0ms	(/.f64 v (-.f64 1 m))

Compiler

Compiled 1667 to 1148 computations (31.1% saved)

simplify156.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4950	9436
1	4950	9436

prune533.0ms (7.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	369	7	376

Error

Counts

376 → 7

Compiler

Compiled 9201 to 4992 computations (45.7% saved)

regimes351.0ms (4.8%)

Accuracy

Total 0.2b remaining (99.4%)

Threshold costs 0.2b (99.4%)

Compiler

Compiled 3890 to 2867 computations (26.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms (0%)

sample1.9s (25.4%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
166.0ms	8061×	pre	128	true
2.0ms	61×	body	128	invalid

Compiler

Compiled 1320 to 974 computations (26.2% saved)

Details

analyze458.0ms (6.2%)

sample25.0ms (0.3%)

simplify126.0ms (1.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite106.0ms (1.4%)

series427.0ms (5.8%)

simplify62.0ms (0.8%)

prune90.0ms (1.2%)

localize10.0ms (0.1%)

rewrite159.0ms (2.2%)

series520.0ms (7.1%)

simplify70.0ms (1%)

prune133.0ms (1.8%)

localize9.0ms (0.1%)

rewrite176.0ms (2.4%)

series484.0ms (6.6%)

simplify59.0ms (0.8%)

prune126.0ms (1.7%)

localize11.0ms (0.2%)

rewrite747.0ms (10.2%)

series638.0ms (8.7%)

simplify156.0ms (2.1%)

prune533.0ms (7.3%)

regimes351.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (25.4%)

Profiling