Details

analyze262.0ms (6.5%)

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 (0.6%)

Algorithm

1×

intervals

Results

9.0ms	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)

simplify335.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4809	16
1	4809	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)

rewrite61.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_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` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 96

Calls

4 calls:

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

series206.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
57.0ms	(*.f64 m (-.f64 1 m))
57.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
30.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5178	1466

prune331.0ms (8.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

Compiler

Compiled 6188 to 4526 computations (26.9% saved)

localize9.0ms (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 (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64`
175×	`add-sqr-sqrt_binary64`
141×	`*-un-lft-identity_binary64`
83×	`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` `cancel-sign-sub-inv_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 → 209

Calls

4 calls:

39.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
38.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
6.0ms	(/.f64 v (-.f64 1 m))

series197.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(/.f64 v (-.f64 1 m))
51.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
50.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
31.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5012	4351

prune271.0ms (6.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	219	2	221
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	221	9	230

Merged error: 0.0b

Counts

230 → 9

Compiler

Compiled 5501 to 3432 computations (37.6% saved)

localize7.0ms (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)

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-l_binary64`
15×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-r_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_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` `difference-of-squares_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 89

Calls

3 calls:

13.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
12.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
11.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

series136.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
50.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
30.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4992	1413
1	4992	1413

prune111.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

Compiler

Compiled 2298 to 1394 computations (39.3% saved)

localize17.0ms (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)))))

rewrite141.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64`
41×	`associate-r_binary64`
40×	`*-un-lft-identity_binary64`
26×	`difference-of-squares_binary64`
24×	`cancel-sign-sub-inv_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-cube-cbrt_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
13×	`associate-l_binary64`
12×	`sqr-pow_binary64`
10×	`pow1_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` `cube-mult_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `associate-/r/_binary64` `flip-+_binary64` `unpow3_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`

Counts

4 → 149

Calls

4 calls:

59.0ms	(.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)
29.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
26.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (*.f64 m m)))))
9.0ms	(.f64 v (+.f64 1 (+.f64 m (.f64 m m))))

series402.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(*.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3)))
113.0ms	(/.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))))

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5129	2510

prune220.0ms (5.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	163	7	170

Merged error: 0.0b

Counts

170 → 7

Compiler

Compiled 4550 to 2720 computations (40.2% saved)

regimes43.0ms (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 (19.2%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
172.0ms	8046×	pre	128	true
2.0ms	46×	body	128	invalid

Compiler

Compiled 190 to 147 computations (22.6% saved)

Details

analyze262.0ms (6.5%)

sample24.0ms (0.6%)

simplify335.0ms (8.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite61.0ms (1.5%)

series206.0ms (5.1%)

simplify68.0ms (1.7%)

prune331.0ms (8.2%)

localize9.0ms (0.2%)

rewrite118.0ms (2.9%)

series197.0ms (4.9%)

simplify83.0ms (2.1%)

prune271.0ms (6.7%)

localize7.0ms (0.2%)

rewrite47.0ms (1.2%)

series136.0ms (3.4%)

simplify68.0ms (1.7%)

prune111.0ms (2.7%)

localize17.0ms (0.4%)

rewrite141.0ms (3.5%)

series402.0ms (9.9%)

simplify91.0ms (2.3%)

prune220.0ms (5.4%)

regimes43.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample777.0ms (19.2%)

Profiling