Details

analyze405.0ms (6.6%)

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)

sample35.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
5.0ms	261×	pre	128	true
0.0ms	5×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

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

rewrite157.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 82

Calls

3 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1991 to 1405 computations (29.4% saved)

series421.0ms (6.8%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

149.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
141.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
100.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 1315 to 981 computations (25.4% saved)

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5081	2296

prune128.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 2379 to 1463 computations (38.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite250.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
29×	`associate-l_binary64`
28×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`associate-*l/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`flip3--_binary64` `frac-times_binary64` `flip--_binary64` `sub-neg_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `frac-add_binary64`
3×	`pow-prod-down_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64` `sum-log_binary64`
2×	`distribute-rgt-neg-out_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`
1×	`neg-mul-1_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

13.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
7.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))

Compiler

Compiled 4714 to 2597 computations (44.9% saved)

series612.0ms (10%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

200.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
152.0ms	(+.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m)))
110.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
110.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2335 to 1629 computations (30.2% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5019	3348

prune196.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	191	6	197

Error

0.0b

Counts

197 → 6

Compiler

Compiled 5112 to 2334 computations (54.3% saved)

localize12.0ms (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 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
0.2b	(*.f64 m (/.f64 m v))
10.3b	(/.f64 (pow.f64 m 3) v)

rewrite240.0ms (3.9%)

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-r_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-l*_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-r/_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64` `associate-+l-_binary64` `sub-neg_binary64` `associate--l+_binary64`

Counts

4 → 139

Calls

4 calls:

29.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
7.0ms	(*.f64 m (/.f64 m v))
6.0ms	(+.f64 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4632 to 2048 computations (55.8% saved)

series402.0ms (6.5%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

153.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 m (/.f64 m v))))) (/.f64 (pow.f64 m 3) v))
91.0ms	(/.f64 (pow.f64 m 3) v)
71.0ms	(*.f64 m (/.f64 m v))
57.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1805 to 1209 computations (33% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4962	3520
1	4962	3520

prune194.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	178	6	184

Error

Counts

184 → 6

Compiler

Compiled 4975 to 2108 computations (57.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 (.f64 m m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))
0.2b	(/.f64 m (sqrt.f64 v))
0.2b	(*.f64 m (/.f64 m v))
6.7b	(/.f64 (*.f64 m m) (sqrt.f64 v))

rewrite212.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64`
70×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
37×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
36×	`sqrt-prod_binary64`
35×	`associate-r_binary64`
13×	`associate-l_binary64`
12×	`associate-/r*_binary64`
11×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
8×	`pow1_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 163

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 m m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))
7.0ms	(*.f64 m (/.f64 m v))
5.0ms	(/.f64 (*.f64 m m) (sqrt.f64 v))
4.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 5693 to 1471 computations (74.2% saved)

series332.0ms (5.4%)

Error

Counts

4 → 24

Calls

4 calls:

86.0ms	(/.f64 (*.f64 m m) (sqrt.f64 v))
79.0ms	(.f64 (/.f64 (.f64 m m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))
75.0ms	(*.f64 m (/.f64 m v))
71.0ms	(/.f64 m (sqrt.f64 v))

Compiler

Compiled 1934 to 1128 computations (41.7% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4955	2398
1	4955	2398

prune187.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	187	6	193

Error

Counts

193 → 6

Compiler

Compiled 5758 to 1692 computations (70.6% saved)

regimes269.0ms (4.4%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 3452 to 2670 computations (22.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	189	31
1	189	31

end0.0ms (0%)

sample1.7s (27%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
163.0ms	8055×	pre	128	true
2.0ms	55×	body	128	invalid

Compiler

Compiled 1147 to 884 computations (22.9% saved)

Details

analyze405.0ms (6.6%)

sample35.0ms (0.6%)

simplify95.0ms (1.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite157.0ms (2.6%)

series421.0ms (6.8%)

simplify48.0ms (0.8%)

prune128.0ms (2.1%)

localize10.0ms (0.2%)

rewrite250.0ms (4.1%)

series612.0ms (10%)

simplify85.0ms (1.4%)

prune196.0ms (3.2%)

localize12.0ms (0.2%)

rewrite240.0ms (3.9%)

series402.0ms (6.5%)

simplify68.0ms (1.1%)

prune194.0ms (3.1%)

localize17.0ms (0.3%)

rewrite212.0ms (3.4%)

series332.0ms (5.4%)

simplify98.0ms (1.6%)

prune187.0ms (3%)

regimes269.0ms (4.4%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27%)

Profiling