Details

analyze449.0ms (13.3%)

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)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	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)

simplify128.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (0.1%)

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 (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

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×	`distribute-lft-in_binary64_709` `difference-of-squares_binary64_729` `distribute-rgt-in_binary64_710` `associate-*r/_binary64_702`
3×	`prod-exp_binary64_809` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `times-frac_binary64_766` `flip--_binary64_735` `flip3--_binary64_764`
2×	`unswap-sqr_binary64_728` `cbrt-undiv_binary64_794` `associate-l/_binary64_703` `associate-/l/_binary64_707` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`frac-2neg_binary64_771` `div-inv_binary64_757` `associate-/l*_binary64_705` `difference-of-sqr-1_binary64_730` `clear-num_binary64_759`

Counts

3 → 78

Calls

3 calls:

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

series76.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

28.0ms	(*.f64 m (-.f64 1 m))
24.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
23.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5031	1100

prune94.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	11	88

Error

0.0b

Counts

88 → 11

Compiler

Compiled 1613 to 1054 computations (34.7% saved)

localize7.0ms (0.2%)

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))

rewrite37.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

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×	`distribute-lft-out--_binary64_712` `pow1_binary64_821`
6×	`associate-/l_binary64_705` `associate-l*_binary64_701`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793`
2×	`cbrt-undiv_binary64_794` `associate-l/_binary64_703` `associate-/l/_binary64_707` `div-inv_binary64_757` `div-exp_binary64_811` `pow-prod-down_binary64_831` `-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `div-sub_binary64_765` `associate-*r/_binary64_702` `clear-num_binary64_759`

Counts

3 → 103

Calls

3 calls:

12.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
7.0ms	(/.f64 (-.f64 1 m) v)

series66.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
23.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
19.0ms	(/.f64 (-.f64 1 m) v)

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4967	1591
1	4967	1591

prune105.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	113	10	123

Error

0.0b

Counts

123 → 10

Compiler

Compiled 2152 to 1380 computations (35.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
0.2b	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.3b	(/.f64 m (sqrt.f64 v))
0.3b	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))

rewrite62.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64_782`
45×	`*-un-lft-identity_binary64_760`
44×	`times-frac_binary64_766`
39×	`add-cube-cbrt_binary64_795`
28×	`sqrt-prod_binary64_776`
25×	`associate-r_binary64_700`
22×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
13×	`associate-l_binary64_701`
12×	`associate-/r*_binary64_704`
8×	`pow1_binary64_821`
6×	`cbrt-undiv_binary64_794` `associate-*l/_binary64_703` `div-exp_binary64_811`
5×	`prod-exp_binary64_809` `associate-/l/_binary64_707` `cbrt-unprod_binary64_793` `flip--_binary64_735` `flip3--_binary64_764`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `difference-of-squares_binary64_729` `associate-/l*_binary64_705` `frac-times_binary64_770`
3×	`div-inv_binary64_757`
2×	`frac-2neg_binary64_771` `distribute-lft-out--_binary64_712` `associate-r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`difference-of-sqr-1_binary64_730`

Counts

4 → 146

Calls

4 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
14.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
12.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

series139.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (-.f64 (/.f64 (.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
35.0ms	(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
31.0ms	(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
30.0ms	(/.f64 m (sqrt.f64 v))

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5133	2483

prune144.0ms (4.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	158	10	168

Error

0.0b

Counts

168 → 10

Compiler

Compiled 3401 to 1675 computations (50.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite50.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_782`
21×	`*-un-lft-identity_binary64_760`
20×	`associate-l_binary64_701`
18×	`add-cube-cbrt_binary64_795`
15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-r_binary64_700`
12×	`pow1_binary64_821`
10×	`times-frac_binary64_766`
7×	`sqrt-prod_binary64_776`
6×	`prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793`
5×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `pow-prod-down_binary64_831`
4×	`unswap-sqr_binary64_728`
3×	`associate-l/_binary64_703` `add-log-exp_binary64_799` `-commutative_binary64_691`
2×	`flip3-+_binary64_763` `difference-of-squares_binary64_729` `flip-+_binary64_734` `frac-times_binary64_770` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
1×	`cbrt-undiv_binary64_794` `div-inv_binary64_757` `distribute-lft-out--_binary64_712` `div-exp_binary64_811`

Counts

3 → 96

Calls

3 calls:

18.0ms	(.f64 (.f64 (sqrt.f64 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)) (sqrt.f64 m))
13.0ms	(.f64 (sqrt.f64 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

series101.0ms (3%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 (sqrt.f64 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))
33.0ms	(.f64 (.f64 (sqrt.f64 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)) (sqrt.f64 m))
24.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4986	1844
1	4986	1844

prune94.0ms (2.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	2	4	6
Picked	0	1	1
Done	1	2	3
Total	105	10	115

Error

Counts

115 → 10

Compiler

Compiled 2165 to 1083 computations (50% saved)

regimes192.0ms (5.7%)

Accuracy

Total 0.2b remaining (99%)

Threshold costs 0.2b (99%)

Compiler

Compiled 2162 to 1610 computations (25.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms (0%)

sample1.2s (35.7%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
164.0ms	8040×	pre	128	true
1.0ms	40×	body	128	invalid

Compiler

Compiled 746 to 555 computations (25.6% saved)

Details

analyze449.0ms (13.3%)

sample20.0ms (0.6%)

simplify128.0ms (3.8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite33.0ms (1%)

series76.0ms (2.2%)

simplify97.0ms (2.9%)

prune94.0ms (2.8%)

localize7.0ms (0.2%)

rewrite37.0ms (1.1%)

series66.0ms (1.9%)

simplify77.0ms (2.3%)

prune105.0ms (3.1%)

localize9.0ms (0.3%)

rewrite62.0ms (1.8%)

series139.0ms (4.1%)

simplify77.0ms (2.3%)

prune144.0ms (4.3%)

localize9.0ms (0.3%)

rewrite50.0ms (1.5%)

series101.0ms (3%)

simplify89.0ms (2.7%)

prune94.0ms (2.8%)

regimes192.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (35.7%)

Profiling