Details

analyze407.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4946	38
1	4946	38
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 23 to 18 computations (21.7% saved)

sample36.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune4.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite168.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`associate-l_binary64`
8×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`pow1_binary64`
6×	`associate-*r/_binary64` `difference-of-squares_binary64`
4×	`frac-times_binary64` `sub-neg_binary64`
3×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64` `distribute-lft-out--_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `difference-of-sqr-1_binary64`

Counts

3 → 95

Calls

3 calls:

16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2176 to 1495 computations (31.3% saved)

series323.0ms (5%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

135.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
119.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
38.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1066 to 804 computations (24.6% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5017	2129

prune118.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 2378 to 1402 computations (41% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (/.f64 m v) m))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
8.8b	(/.f64 (pow.f64 m 3) v)

rewrite212.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
44×	`*-un-lft-identity_binary64`
39×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`add-log-exp_binary64` `associate-l_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
5×	`div-exp_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `associate-r_binary64` `sum-log_binary64` `diff-log_binary64` `flip3-+_binary64` `frac-sub_binary64` `flip-+_binary64`
3×	`cbrt-undiv_binary64` `associate-/r*_binary64` `cancel-sign-sub-inv_binary64`
2×	`div-inv_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `distribute-lft-out--_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-*r/_binary64`

Counts

4 → 144

Calls

4 calls:

12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(*.f64 (/.f64 m v) m)
7.0ms	(.f64 2 (.f64 (/.f64 m v) m))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4451 to 1990 computations (55.3% saved)

series461.0ms (7.1%)

Error

Counts

4 → 33

Calls

4 calls:

185.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
90.0ms	(/.f64 (pow.f64 m 3) v)
85.0ms	(.f64 2 (.f64 (/.f64 m v) m))
73.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1746 to 1186 computations (32.1% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5002	2623

prune188.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 4594 to 2099 computations (54.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite118.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`pow1_binary64` `frac-times_binary64`
4×	`sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`

Counts

2 → 84

Calls

2 calls:

15.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2019 to 1235 computations (38.8% saved)

series255.0ms (3.9%)

Error

Counts

2 → 27

Calls

2 calls:

135.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
101.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 879 to 654 computations (25.6% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4999	2075
1	4999	2075

prune96.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Compiler

Compiled 2133 to 1229 computations (42.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))
0.1b	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))))

rewrite827.0ms (12.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

160×	`sqrt-div_binary64`
146×	`frac-times_binary64`
62×	`flip3--_binary64` `flip--_binary64`
61×	`pow1_binary64`
60×	`flip3-+_binary64` `flip-+_binary64`
50×	`associate-*r/_binary64`
49×	`associate-*l/_binary64`
32×	`sqrt-pow1_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`pow-prod-down_binary64`
21×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
17×	`associate-l_binary64`
12×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-up_binary64` `associate-r_binary64` `times-frac_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`*-commutative_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`

Counts

4 → 214

Calls

4 calls:

34.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))))
13.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))
13.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 11896 to 7879 computations (33.8% saved)

series428.0ms (6.6%)

Error

Counts

4 → 36

Calls

4 calls:

140.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1))) (sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))))
111.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
75.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))
69.0ms	(sqrt.f64 (.f64 (-.f64 1 m) (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1)))

Compiler

Compiled 2358 to 1769 computations (25% saved)

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5488	10481

prune579.0ms (8.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	250	3	253

Error

Counts

253 → 3

Compiler

Compiled 10221 to 6305 computations (38.3% saved)

regimes234.0ms (3.6%)

Accuracy

Total 0.1b remaining (96.4%)

Threshold costs 0.1b (96.4%)

Compiler

Compiled 2685 to 2114 computations (21.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	31
1	101	31

end0.0ms (0%)

sample1.6s (24.2%)

Algorithm

1×

intervals

Results

290.0ms	8000×	body	128	valid
167.0ms	8049×	pre	128	true
2.0ms	49×	body	128	invalid

Compiler

Compiled 906 to 709 computations (21.7% saved)

Details

analyze407.0ms (6.3%)

sample36.0ms (0.6%)

simplify96.0ms (1.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite168.0ms (2.6%)

series323.0ms (5%)

simplify69.0ms (1.1%)

prune118.0ms (1.8%)

localize15.0ms (0.2%)

rewrite212.0ms (3.3%)

series461.0ms (7.1%)

simplify82.0ms (1.3%)

prune188.0ms (2.9%)

localize7.0ms (0.1%)

rewrite118.0ms (1.8%)

series255.0ms (3.9%)

simplify69.0ms (1.1%)

prune96.0ms (1.5%)

localize9.0ms (0.1%)

rewrite827.0ms (12.7%)

series428.0ms (6.6%)

simplify112.0ms (1.7%)

prune579.0ms (8.9%)

regimes234.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24.2%)

Profiling