Details

analyze511.0ms (6.5%)

Algorithm

2×	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%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14
7.1%	0.2%	92.7%	14

Compiler

Compiled 46 to 36 computations (21.7% saved)

sample393.0ms (5%)

Algorithm

2×

intervals

Results

21.0ms	874×	pre	128	true
18.0ms	512×	body	128	valid
13.0ms	362×	body	128	invalid

Compiler

Compiled 9765 to 8491 computations (13% saved)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

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)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite185.0ms (2.4%)

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` `distribute-lft-out--_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`difference-of-sqr-1_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

3 → 95

Calls

3 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 2176 to 1495 computations (31.3% saved)

series472.0ms (6%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

218.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
160.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
62.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1066 to 804 computations (24.6% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5017	2129

prune149.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 2389 to 1412 computations (40.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.2b	(*.f64 (/.f64 m v) m)
7.5b	(/.f64 (pow.f64 m 3) v)

rewrite278.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
24×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
10×	`sum-log_binary64`
6×	`pow1_binary64` `flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`div-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `diff-log_binary64` `frac-sub_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64` `associate-+l-_binary64` `sub-neg_binary64` `associate--l+_binary64`

Counts

4 → 139

Calls

4 calls:

32.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4632 to 2048 computations (55.8% saved)

series608.0ms (7.8%)

Error

Counts

4 → 38

Calls

4 calls:

247.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
136.0ms	(/.f64 (pow.f64 m 3) v)
108.0ms	(*.f64 (/.f64 m v) m)
82.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1763 to 1186 computations (32.7% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5008	3486

prune227.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	177	4	181

Error

Counts

181 → 4

Compiler

Compiled 4882 to 2046 computations (58.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

(*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))

0.1b

(*.f64 (*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

rewrite332.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64`
34×	`frac-times_binary64`
31×	`*-un-lft-identity_binary64`
24×	`flip3-+_binary64` `flip-+_binary64`
20×	`add-cube-cbrt_binary64` `associate-r_binary64`
18×	`cancel-sign-sub-inv_binary64`
17×	`associate-l/_binary64` `associate-l*_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64` `associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`sqrt-prod_binary64` `times-frac_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64`
5×	`pow-prod-down_binary64`
4×	`sub-neg_binary64`
3×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64` `unswap-sqr_binary64`
2×	`distribute-lft-out_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`

Counts

3 → 141

Calls

3 calls:

17.0ms

(*.f64 (*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

11.0ms

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

9.0ms

(*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))

Compiler

Compiled 5091 to 3005 computations (41% saved)

series724.0ms (9.2%)

Error

Counts

3 → 28

Calls

3 calls:

321.0ms

(*.f64 (*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))

207.0ms

(*.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m)))

167.0ms

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

Compiler

Compiled 1477 to 1087 computations (26.4% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5180	4655

prune241.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Error

Counts

173 → 4

Compiler

Compiled 4718 to 2252 computations (52.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite206.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 110

Calls

3 calls:

18.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
11.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2793 to 2020 computations (27.7% saved)

series457.0ms (5.8%)

Error

Counts

3 → 33

Calls

3 calls:

206.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
162.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
61.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1096 to 835 computations (23.8% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5056	2297

prune155.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Error

Counts

147 → 4

Compiler

Compiled 2676 to 1709 computations (36.1% saved)

regimes286.0ms (3.7%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 3050 to 2430 computations (20.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	31
1	87	31

end0.0ms (0%)

sample2.2s (27.6%)

Algorithm

1×

intervals

Results

286.0ms	13692×	pre	128	true
276.0ms	8000×	body	128	valid
197.0ms	5692×	body	128	invalid

Compiler

Compiled 1013 to 805 computations (20.5% saved)

Details

analyze511.0ms (6.5%)

sample393.0ms (5%)

simplify91.0ms (1.2%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite185.0ms (2.4%)

series472.0ms (6%)

simplify67.0ms (0.9%)

prune149.0ms (1.9%)

localize13.0ms (0.2%)

rewrite278.0ms (3.6%)

series608.0ms (7.8%)

simplify65.0ms (0.8%)

prune227.0ms (2.9%)

localize15.0ms (0.2%)

rewrite332.0ms (4.2%)

series724.0ms (9.2%)

simplify93.0ms (1.2%)

prune241.0ms (3.1%)

localize10.0ms (0.1%)

rewrite206.0ms (2.6%)

series457.0ms (5.8%)

simplify69.0ms (0.9%)

prune155.0ms (2%)

regimes286.0ms (3.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (27.6%)

Profiling