Details

analyze270.0ms (4.9%)

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)

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify197.0ms (3.6%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite199.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 113

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2588 to 1796 computations (30.6% saved)

series470.0ms (8.6%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

149.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
142.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
99.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
40.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1502 to 1131 computations (24.7% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2592
1	4990	2592

prune151.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Error

Counts

162 → 3

Compiler

Compiled 2866 to 1704 computations (40.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
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)
7.7b	(/.f64 (pow.f64 m 3) v)

rewrite290.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64` `times-frac_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64` `sum-log_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`diff-log_binary64` `frac-sub_binary64`
6×	`pow1_binary64` `frac-add_binary64` `cancel-sign-sub-inv_binary64`
5×	`distribute-lft-out_binary64` `associate-+l+_binary64`
4×	`div-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `associate--l+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `associate-+l-_binary64` `+-commutative_binary64` `difference-of-squares_binary64` `associate--r+_binary64`

Counts

4 → 153

Calls

4 calls:

29.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 5406 to 2391 computations (55.8% saved)

series542.0ms (9.9%)

Error

Counts

4 → 45

Calls

4 calls:

184.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
161.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
89.0ms	(/.f64 (pow.f64 m 3) v)
73.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1915 to 1313 computations (31.4% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4971	4376
1	4971	4376

prune215.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	198	3	201

Error

Counts

201 → 3

Compiler

Compiled 5429 to 2435 computations (55.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite321.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64`
130×	`add-sqr-sqrt_binary64`
110×	`*-un-lft-identity_binary64`
76×	`add-cube-cbrt_binary64`
29×	`difference-of-squares_binary64`
26×	`associate-/r*_binary64`
20×	`associate-l_binary64`
19×	`add-exp-log_binary64`
17×	`distribute-rgt-out--_binary64`
13×	`add-cbrt-cube_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64` `div-inv_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-r*_binary64`
5×	`difference-of-sqr-1_binary64`
4×	`cbrt-undiv_binary64` `frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`sub-neg_binary64` `distribute-lft-out--_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64`

Counts

4 → 213

Calls

4 calls:

38.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
9.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
8.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 5752 to 2662 computations (53.7% saved)

series425.0ms (7.8%)

Error

Counts

4 → 48

Calls

4 calls:

136.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
109.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
101.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
39.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1731 to 1327 computations (23.3% saved)

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5269	5238

prune237.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	261	3	264

Error

Counts

264 → 3

Compiler

Compiled 5681 to 2503 computations (55.9% saved)

regimes259.0ms (4.7%)

Accuracy

Total 0.1b remaining (96.4%)

Threshold costs 0.1b (96.4%)

Compiler

Compiled 2945 to 2340 computations (20.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.6s (29%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
164.0ms	8062×	pre	128	true
2.0ms	62×	body	128	invalid

Compiler

Compiled 970 to 770 computations (20.6% saved)

Details

analyze270.0ms (4.9%)

sample28.0ms (0.5%)

simplify197.0ms (3.6%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite199.0ms (3.6%)

series470.0ms (8.6%)

simplify77.0ms (1.4%)

prune151.0ms (2.8%)

localize12.0ms (0.2%)

rewrite290.0ms (5.3%)

series542.0ms (9.9%)

simplify78.0ms (1.4%)

prune215.0ms (3.9%)

localize9.0ms (0.2%)

rewrite321.0ms (5.9%)

series425.0ms (7.8%)

simplify99.0ms (1.8%)

prune237.0ms (4.3%)

regimes259.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (29%)

Profiling