Details

analyze259.0ms (7.1%)

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 21 to 16 computations (23.8% saved)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify336.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4772	16
1	4772	16

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% 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))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_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` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
11.0ms	(-.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))

series218.0ms (6%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(*.f64 m (-.f64 1 m))
60.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
55.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
29.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4947	1419
1	4947	1419

prune112.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 1844 to 1244 computations (32.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite118.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
140×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
11×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 206

Calls

4 calls:

39.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
35.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
14.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series196.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
55.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
53.0ms	(/.f64 v (-.f64 1 m))
30.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4998	4348
1	4998	4348

prune224.0ms (6.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	218	9	227

Merged error: 0.0b

Counts

227 → 9

Compiler

Compiled 4521 to 2687 computations (40.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

13.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
9.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

series123.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

47.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
47.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
29.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5195	1272

prune78.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

Compiler

Compiled 1619 to 963 computations (40.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
0.0b	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) m)
0.3b	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))

rewrite104.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
41×	`associate-r_binary64`
34×	`*-un-lft-identity_binary64`
26×	`difference-of-squares_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
13×	`associate-l_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64`
8×	`associate-*r/_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`difference-cubes_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `cube-mult_binary64`

Counts

4 → 125

Calls

4 calls:

30.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) m)
27.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))
23.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
9.0ms	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))

series422.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
127.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))
96.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) m)
59.0ms	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5092	2402

prune180.0ms (5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	139	7	146

Merged error: 0.0b

Counts

146 → 7

Compiler

Compiled 3871 to 2278 computations (41.2% saved)

regimes40.0ms (1.1%)

Compiler: Compiled 320 to 248 computations (22.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample777.0ms (21.5%)

Algorithm

1×

intervals

Results

271.0ms	8000×	body	128	valid
169.0ms	8046×	pre	128	true
2.0ms	46×	body	128	invalid

Compiler

Compiled 190 to 147 computations (22.6% saved)

Details

analyze259.0ms (7.1%)

sample24.0ms (0.7%)

simplify336.0ms (9.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite56.0ms (1.5%)

series218.0ms (6%)

simplify59.0ms (1.6%)

prune112.0ms (3.1%)

localize7.0ms (0.2%)

rewrite118.0ms (3.3%)

series196.0ms (5.4%)

simplify84.0ms (2.3%)

prune224.0ms (6.2%)

localize9.0ms (0.2%)

rewrite39.0ms (1.1%)

series123.0ms (3.4%)

simplify69.0ms (1.9%)

prune78.0ms (2.2%)

localize14.0ms (0.4%)

rewrite104.0ms (2.9%)

series422.0ms (11.7%)

simplify53.0ms (1.5%)

prune180.0ms (5%)

regimes40.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample777.0ms (21.5%)

Profiling