Details

analyze263.0ms (6%)

Algorithm

1×

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)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	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)

simplify199.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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)

localize9.0ms (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))

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

series282.0ms (6.4%)

Counts

3 → 33

Calls

3 calls:

142.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
106.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
34.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 627 to 518 computations (17.4% saved)

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5017	2129

prune142.0ms (3.2%)

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 2413 to 1574 computations (34.8% saved)

localize12.0ms (0.3%)

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)
7.8b	(/.f64 (pow.f64 m 3) v)

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

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×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`div-exp_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `sqr-pow_binary64` `flip-+_binary64` `frac-sub_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
3×	`associate-/r*_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64`
2×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64`

Counts

4 → 144

Calls

4 calls:

13.0ms	(-.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)

series406.0ms (9.3%)

Counts

4 → 33

Calls

4 calls:

168.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
90.0ms	(/.f64 (pow.f64 m 3) v)
78.0ms	(.f64 2 (.f64 (/.f64 m v) m))
69.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1125 to 839 computations (25.4% saved)

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5002	2623

prune192.0ms (4.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Error

Counts

181 → 3

Compiler

Compiled 4589 to 2090 computations (54.5% saved)

localize12.0ms (0.3%)

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)
2.7b	(.f64 (.f64 m m) (/.f64 m v))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
17×	`associate-r_binary64` `associate-l_binary64`
16×	`add-log-exp_binary64` `pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`pow-prod-down_binary64`
4×	`flip3-+_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
3×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
2×	`associate-r/_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 114

Calls

4 calls:

12.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
9.0ms	(.f64 (.f64 m m) (/.f64 m v))
7.0ms	(.f64 2 (.f64 (/.f64 m v) m))
7.0ms	(*.f64 (/.f64 m v) m)

series410.0ms (9.4%)

Counts

4 → 33

Calls

4 calls:

171.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
88.0ms	(.f64 (.f64 m m) (/.f64 m v))
81.0ms	(.f64 2 (.f64 (/.f64 m v) m))
70.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1215 to 800 computations (34.2% saved)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5379	2221

prune136.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	147	3	150

Error

Counts

150 → 3

Compiler

Compiled 3998 to 1401 computations (65% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-sqr-sqrt_binary64`
53×	`*-un-lft-identity_binary64` `times-frac_binary64`
35×	`add-cube-cbrt_binary64`
18×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
17×	`difference-of-squares_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`associate-/r_binary64` `associate-l*_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-r_binary64` `neg-mul-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

2 → 124

Calls

2 calls:

32.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) (-.f64 1 m))
8.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))

series256.0ms (5.8%)

Counts

2 → 27

Calls

2 calls:

135.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) (-.f64 1 m))
121.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))

Compiler

Compiled 518 to 424 computations (18.1% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5087	3267

prune126.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	3	154

Error

Counts

154 → 3

Compiler

Compiled 3138 to 1472 computations (53.1% saved)

regimes190.0ms (4.3%)

Accuracy

Total 0.1b remaining (95.2%)

Threshold costs 0.1b (95.2%)

Compiler

Compiled 2155 to 1668 computations (22.6% 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%)

sample1.2s (28%)

Algorithm

1×

intervals

Results

292.0ms	8000×	body	128	valid
164.0ms	8050×	pre	128	true
2.0ms	50×	body	128	invalid

Compiler

Compiled 739 to 568 computations (23.1% saved)

Details

analyze263.0ms (6%)

sample24.0ms (0.6%)

simplify199.0ms (4.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite42.0ms (1%)

series282.0ms (6.4%)

simplify73.0ms (1.7%)

prune142.0ms (3.2%)

localize12.0ms (0.3%)

rewrite46.0ms (1.1%)

series406.0ms (9.3%)

simplify83.0ms (1.9%)

prune192.0ms (4.4%)

localize12.0ms (0.3%)

rewrite49.0ms (1.1%)

series410.0ms (9.4%)

simplify55.0ms (1.3%)

prune136.0ms (3.1%)

localize9.0ms (0.2%)

rewrite52.0ms (1.2%)

series256.0ms (5.8%)

simplify82.0ms (1.9%)

prune126.0ms (2.9%)

regimes190.0ms (4.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28%)

Profiling