Details

analyze265.0ms (8.3%)

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)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify263.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5013	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.3%)

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

rewrite63.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
17.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

series213.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(*.f64 m (-.f64 1 m))
60.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
48.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
31.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4960	1907
1	4960	1907

prune136.0ms (4.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	5	111

Merged error: 0b

Counts

111 → 5

Compiler

Compiled 2253 to 1574 computations (30.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite65.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-log-exp_binary64`
16×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`distribute-lft-out_binary64` `sum-log_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `associate-*r/_binary64` `frac-add_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `associate-+l+_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64` `associate-+r+_binary64`

Counts

4 → 110

Calls

4 calls:

24.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
11.0ms	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
10.0ms	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series210.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
56.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
55.0ms	(+.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (+.f64 m (/.f64 (.f64 m (+.f64 m -1)) (/.f64 v m))))
42.0ms	(+.f64 m (/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m)))

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4971	2870
1	4971	2870

prune162.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 3533 to 1985 computations (43.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite49.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`associate-l_binary64` `difference-of-squares_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow1_binary64` `associate-r_binary64`
4×	`difference-of-sqr-1_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `unsub-neg_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-r/_binary64` `div-sub_binary64` `flip-+_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

21.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
10.0ms	(-.f64 (/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v) 1)
6.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
3.0ms	(+.f64 m (*.f64 m (neg.f64 m)))

series196.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
50.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
47.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
35.0ms	(-.f64 (/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v) 1)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4956	2230
1	4956	2230

prune112.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Merged error: 0b

Counts

116 → 5

Compiler

Compiled 2427 to 1376 computations (43.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite60.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
28×	`associate-r_binary64` `add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l*_binary64`
4×	`frac-times_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 125

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
13.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
9.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
7.0ms	(/.f64 (-.f64 1 m) v)

series173.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(/.f64 (-.f64 1 m) v)
47.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) (-.f64 1 m))
47.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
31.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)

simplify45.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5004	2341

prune138.0ms (4.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Merged error: 0b

Counts

142 → 5

Compiler

Compiled 2771 to 1860 computations (32.9% saved)

regimes31.0ms (1%)

Compiler: Compiled 200 to 162 computations (19% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	31
1	31	31

end0.0ms (0%)

sample743.0ms (23.3%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
172.0ms	8046×	pre	128	true
4.0ms	46×	body	128	invalid

Compiler

Compiled 142 to 112 computations (21.1% saved)

Details

analyze265.0ms (8.3%)

sample25.0ms (0.8%)

simplify263.0ms (8.2%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

rewrite63.0ms (2%)

series213.0ms (6.7%)

simplify80.0ms (2.5%)

prune136.0ms (4.3%)

localize13.0ms (0.4%)

rewrite65.0ms (2%)

series210.0ms (6.6%)

simplify58.0ms (1.8%)

prune162.0ms (5.1%)

localize9.0ms (0.3%)

rewrite49.0ms (1.5%)

series196.0ms (6.1%)

simplify63.0ms (2%)

prune112.0ms (3.5%)

localize7.0ms (0.2%)

rewrite60.0ms (1.9%)

series173.0ms (5.4%)

simplify45.0ms (1.4%)

prune138.0ms (4.3%)

regimes31.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample743.0ms (23.3%)

Profiling