Details

analyze261.0ms (7.2%)

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 (0.7%)

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)

simplify273.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4905	19
1	4905	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 (0.2%)

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

rewrite67.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

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-lft-in_binary64` `distribute-rgt-in_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` `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 → 113

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
17.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(*.f64 m (-.f64 1 m))

series208.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 m (-.f64 1 m))
61.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
46.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
31.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4978	2142
1	4978	2142

prune274.0ms (7.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	120	5	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	5	126

Merged error: 0b

Counts

126 → 5

Compiler

Compiled 4591 to 3405 computations (25.8% 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)

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
10×	`associate-l_binary64` `difference-of-squares_binary64`
9×	`cancel-sign-sub-inv_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` `distribute-lft-in_binary64` `distribute-rgt-in_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` `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 → 108

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
14.0ms	(-.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)))

series206.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(+.f64 m (*.f64 m (neg.f64 m)))
55.0ms	(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
49.0ms	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 m (neg.f64 m))) v) 1) (-.f64 1 m))
31.0ms	(-.f64 (/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v) 1)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5225	2419

prune119.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Merged error: 0b

Counts

125 → 5

Compiler

Compiled 2611 to 1485 computations (43.1% 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 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
0.0b	(/.f64 m (/.f64 v (-.f64 1 m)))

rewrite125.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 226

Calls

4 calls:

46.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
35.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
7.0ms	(/.f64 v (-.f64 1 m))

series175.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 v (-.f64 1 m))
50.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
42.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
31.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify98.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4954	5059
1	4954	5059

prune278.0ms (7.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	238	5	243

Merged error: 0b

Counts

243 → 5

Compiler

Compiled 5310 to 3297 computations (37.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.0b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
0.7b	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

rewrite69.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

20.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
17.0ms	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)
12.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
9.0ms	(*.f64 m (-.f64 1 m))

series201.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(*.f64 m (-.f64 1 m))
53.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
48.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
28.0ms	(-.f64 (.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v)) 1)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4949	2207
1	4949	2207

prune136.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Merged error: 0b

Counts

141 → 5

Compiler

Compiled 2689 to 1886 computations (29.9% saved)

regimes31.0ms (0.9%)

Compiler: Compiled 178 to 152 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms (0%)

sample754.0ms (20.8%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
166.0ms	8063×	pre	128	true
2.0ms	63×	body	128	invalid

Compiler

Compiled 123 to 102 computations (17.1% saved)

Details

analyze261.0ms (7.2%)

sample25.0ms (0.7%)

simplify273.0ms (7.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite67.0ms (1.9%)

series208.0ms (5.8%)

simplify71.0ms (2%)

prune274.0ms (7.6%)

localize9.0ms (0.3%)

rewrite52.0ms (1.4%)

series206.0ms (5.7%)

simplify71.0ms (2%)

prune119.0ms (3.3%)

localize7.0ms (0.2%)

rewrite125.0ms (3.4%)

series175.0ms (4.8%)

simplify98.0ms (2.7%)

prune278.0ms (7.7%)

localize8.0ms (0.2%)

rewrite69.0ms (1.9%)

series201.0ms (5.5%)

simplify88.0ms (2.4%)

prune136.0ms (3.7%)

regimes31.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample754.0ms (20.8%)

Profiling