Details

analyze266.0ms (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 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)

simplify228.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	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 (0.3%)

Local error

Found 3 expressions with local error:

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)

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

15.0ms	(*.f64 m (-.f64 1 m))
13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

series92.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
33.0ms	(*.f64 m (-.f64 1 m))
24.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify104.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5031	1100

prune96.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

Compiler

Compiled 1529 to 991 computations (35.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
53×	`times-frac_binary64`
51×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
18×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`difference-of-squares_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`associate-/r_binary64` `associate-l*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`neg-mul-1_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `difference-of-sqr-1_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 123

Calls

3 calls:

25.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)
8.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
4.0ms	(-.f64 (*.f64 m m) m)

series86.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
29.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)
26.0ms	(-.f64 (*.f64 m m) m)

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5511	2533

prune105.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

Compiler

Compiled 2681 to 906 computations (66.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
30×	`add-cube-cbrt_binary64`
22×	`add-cbrt-cube_binary64`
17×	`associate-l_binary64`
14×	`div-exp_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`difference-of-squares_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip--_binary64`
6×	`cancel-sign-sub-inv_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`1-exp_binary64` `difference-of-sqr-1_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 149

Calls

4 calls:

23.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
10.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
9.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
7.0ms	(*.f64 m (-.f64 1 m))

series128.0ms (4%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
30.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
28.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
27.0ms	(*.f64 m (-.f64 1 m))

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5001	2389

prune165.0ms (5.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	160	9	169

Merged error: 0b

Counts

169 → 9

Compiler

Compiled 3055 to 2070 computations (32.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
0.2b	(*.f64 (/.f64 m v) m)
9.5b	(/.f64 (pow.f64 m 3) v)

rewrite53.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

18.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
12.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
6.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

series69.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
18.0ms	(/.f64 (pow.f64 m 3) v)
16.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
14.0ms	(*.f64 (/.f64 m v) m)

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5171	1923

prune108.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	142	7	149

Merged error: 0b

Counts

149 → 7

Compiler

Compiled 2582 to 929 computations (64% saved)

regimes168.0ms (5.2%)

Compiler: Compiled 1832 to 1367 computations (25.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end0.0ms (0%)

sample1.1s (35%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
166.0ms	8069×	pre	128	true
2.0ms	69×	body	128	invalid

Compiler

Compiled 634 to 472 computations (25.6% saved)

Details

analyze266.0ms (8.3%)

sample24.0ms (0.7%)

simplify228.0ms (7.1%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

rewrite48.0ms (1.5%)

series92.0ms (2.9%)

simplify104.0ms (3.2%)

prune96.0ms (3%)

localize8.0ms (0.3%)

rewrite48.0ms (1.5%)

series86.0ms (2.7%)

simplify74.0ms (2.3%)

prune105.0ms (3.3%)

localize8.0ms (0.3%)

rewrite61.0ms (1.9%)

series128.0ms (4%)

simplify74.0ms (2.3%)

prune165.0ms (5.1%)

localize9.0ms (0.3%)

rewrite53.0ms (1.6%)

series69.0ms (2.2%)

simplify52.0ms (1.6%)

prune108.0ms (3.4%)

regimes168.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35%)

Profiling