Details

analyze474.0ms (12.7%)

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 (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify131.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

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)

rewrite34.0ms (0.9%)

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

series81.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
28.0ms	(*.f64 m (-.f64 1 m))
24.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify102.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5031	1100

prune94.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	8	88

Error

0.0b

Counts

88 → 8

Compiler

Compiled 1527 to 991 computations (35.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
42×	`*-un-lft-identity_binary64_760`
34×	`add-exp-log_binary64_798`
30×	`add-cube-cbrt_binary64_795`
22×	`add-cbrt-cube_binary64_796`
17×	`associate-l_binary64_701`
14×	`div-exp_binary64_811`
12×	`associate-*r/_binary64_702`
11×	`associate-/r/_binary64_706`
10×	`associate-/r*_binary64_704`
9×	`associate-r_binary64_700` `pow1_binary64_821`
8×	`difference-of-squares_binary64_729`
7×	`cbrt-undiv_binary64_794` `div-inv_binary64_757` `flip--_binary64_735` `flip3--_binary64_764`
6×	`prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
4×	`distribute-lft-in_binary64_709` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `cbrt-unprod_binary64_793`
3×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `rec-exp_binary64_810` `1-exp_binary64_804`
2×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `associate-l/_binary64_703` `clear-num_binary64_759` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834`

Counts

4 → 149

Calls

4 calls:

23.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
8.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))

series128.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
31.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
30.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
27.0ms	(*.f64 m (-.f64 1 m))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5001	2389

prune154.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	161	8	169

Error

0.0b

Counts

169 → 8

Compiler

Compiled 3033 to 2057 computations (32.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
0.2b	(*.f64 (/.f64 m v) m)
7.1b	(/.f64 (pow.f64 m 3) v)

rewrite54.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64_766`
43×	`add-sqr-sqrt_binary64_782`
42×	`*-un-lft-identity_binary64_760`
38×	`add-cube-cbrt_binary64_795`
14×	`add-exp-log_binary64_798`
13×	`associate-l_binary64_701`
12×	`associate-/l*_binary64_705` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
11×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821`
4×	`cube-mult_binary64_790` `unpow3_binary64_826` `cancel-sign-sub-inv_binary64_726` `sqr-pow_binary64_732` `div-exp_binary64_811`
3×	`associate-l/_binary64_703` `associate-/r_binary64_704` `associate-r_binary64_700`
2×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `prod-exp_binary64_809` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `sum-log_binary64_851` `frac-sub_binary64_769` `cbrt-unprod_binary64_793`
1×	`frac-2neg_binary64_771` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `+-commutative_binary64_690` `associate--r+_binary64_696` `clear-num_binary64_759` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 128

Calls

4 calls:

18.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
13.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
7.0ms	(/.f64 (pow.f64 m 3) v)
6.0ms	(*.f64 (/.f64 m v) m)

series66.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
16.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
15.0ms	(/.f64 (pow.f64 m 3) v)
13.0ms	(*.f64 (/.f64 m v) m)

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5171	1923

prune125.0ms (3.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	6	140
Fresh	4	1	5
Picked	1	0	1
Done	0	2	2
Total	139	9	148

Error

Counts

148 → 9

Compiler

Compiled 2710 to 1011 computations (62.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.1b	(/.f64 (pow.f64 m 3) v)
7.1b	(/.f64 (pow.f64 m 3) v)
17.2b	(sqrt.f64 (/.f64 (pow.f64 m 3) v))
17.2b	(sqrt.f64 (/.f64 (pow.f64 m 3) v))

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`times-frac_binary64_766`
114×	`add-sqr-sqrt_binary64_782`
98×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
80×	`sqrt-prod_binary64_776`
44×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
24×	`associate-/l*_binary64_705`
16×	`sqr-pow_binary64_732`
14×	`cube-mult_binary64_790` `add-exp-log_binary64_798` `unpow3_binary64_826`
10×	`rem-sqrt-square_binary64_773`
8×	`add-cbrt-cube_binary64_796`
6×	`associate-/r*_binary64_704` `div-exp_binary64_811` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `div-inv_binary64_757`
2×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `sqrt-pow1_binary64_778` `pow-exp_binary64_828` `sqrt-div_binary64_777` `pow-to-exp_binary64_829` `pow1/2_binary64_840` `clear-num_binary64_759`

Counts

4 → 240

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 m 3) v)
7.0ms	(sqrt.f64 (/.f64 (pow.f64 m 3) v))
6.0ms	(sqrt.f64 (/.f64 (pow.f64 m 3) v))
6.0ms	(/.f64 (pow.f64 m 3) v)

series136.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt.f64 (/.f64 (pow.f64 m 3) v))
50.0ms	(sqrt.f64 (/.f64 (pow.f64 m 3) v))
19.0ms	(/.f64 (pow.f64 m 3) v)
14.0ms	(/.f64 (pow.f64 m 3) v)

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5098	3530

prune294.0ms (7.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	252	9	261

Error

Counts

261 → 9

Compiler

Compiled 6720 to 3015 computations (55.1% saved)

regimes199.0ms (5.4%)

Accuracy

Total 0.2b remaining (98.4%)

Threshold costs 0.2b (98.4%)

Compiler

Compiled 2270 to 1655 computations (27.1% 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%)

sample1.3s (34.4%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
176.0ms	8063×	pre	128	true
2.0ms	63×	body	128	invalid

Compiler

Compiled 782 to 570 computations (27.1% saved)

Details

analyze474.0ms (12.7%)

sample25.0ms (0.7%)

simplify131.0ms (3.5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite34.0ms (0.9%)

series81.0ms (2.2%)

simplify102.0ms (2.8%)

prune94.0ms (2.5%)

localize9.0ms (0.2%)

rewrite63.0ms (1.7%)

series128.0ms (3.4%)

simplify73.0ms (2%)

prune154.0ms (4.2%)

localize9.0ms (0.3%)

rewrite54.0ms (1.5%)

series66.0ms (1.8%)

simplify54.0ms (1.5%)

prune125.0ms (3.4%)

localize11.0ms (0.3%)

rewrite52.0ms (1.4%)

series136.0ms (3.7%)

simplify58.0ms (1.6%)

prune294.0ms (7.9%)

regimes199.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34.4%)

Profiling