Details

analyze1.3s (30.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4789	143
1	4789	143
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	83×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

5.9b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`add-cube-cbrt_binary64_11025`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-r_binary64_10930`
4×	`associate-*r/_binary64_10932` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`times-frac_binary64_10996` `associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `associate-/l/_binary64_10937` `flip--_binary64_10965` `div-exp_binary64_11041` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023` `cbrt-undiv_binary64_11024`
1×	`sum-log_binary64_11081` `distribute-lft-out--_binary64_10942` `clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `associate-/l_binary64_10935` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `frac-2neg_binary64_11001` `div-inv_binary64_10987` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 65

Calls

3 calls:

13.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series143.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
56.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
30.0ms	(*.f64 y (-.f64 z t))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5397	909

prune62.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Error

0.0b

Counts

75 → 7

Compiler

Compiled 1085 to 292 computations (73.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
6.3b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_10996`
105×	`*-un-lft-identity_binary64_10990`
103×	`add-sqr-sqrt_binary64_11012`
71×	`add-cube-cbrt_binary64_11025`
26×	`associate-/r*_binary64_10934`
16×	`distribute-lft-out--_binary64_10942` `difference-of-squares_binary64_10959`
11×	`associate-/r/_binary64_10936`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`associate-/l*_binary64_10935` `div-inv_binary64_10987`
5×	`flip3--_binary64_10994` `flip--_binary64_10965` `add-log-exp_binary64_11029`
4×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
3×	`pow1_binary64_11051`
2×	`clear-num_binary64_10989` `frac-2neg_binary64_11001`
1×	`sum-log_binary64_11081` `distribute-lft-out_binary64_10941` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920`

Counts

3 → 151

Calls

3 calls:

21.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
5.0ms	(/.f64 a (-.f64 z t))

series149.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
57.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
33.0ms	(/.f64 a (-.f64 z t))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5023	3118

prune115.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	162	5	167

Error

Counts

167 → 5

Compiler

Compiled 2839 to 587 computations (79.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
6.2b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_11012`
16×	`*-un-lft-identity_binary64_10990`
14×	`add-cube-cbrt_binary64_11025`
13×	`associate-l_binary64_10931`
12×	`cancel-sign-sub-inv_binary64_10956`
10×	`times-frac_binary64_10996`
8×	`associate-+r+_binary64_10922` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
7×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate-r_binary64_10930`
4×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `sub-neg_binary64_10983`
2×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `frac-times_binary64_11000` `flip--_binary64_10965` `associate-*r/_binary64_10932` `unswap-sqr_binary64_10958` `cbrt-unprod_binary64_11023`
1×	`sum-log_binary64_11081` `distribute-lft-out--_binary64_10942` `div-exp_binary64_11041` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `div-inv_binary64_10987` `-commutative_binary64_10921` `cbrt-undiv_binary64_11024` `associate-l/_binary64_10933` `pow-prod-down_binary64_11061`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
5.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

series116.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
56.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4991	1022
1	4991	1022

prune45.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Error

Counts

76 → 5

Compiler

Compiled 1122 to 258 computations (77% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b	(/.f64 (-.f64 z t) a)
6.6b	(*.f64 y (/.f64 (-.f64 z t) a))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_11012`
37×	`*-un-lft-identity_binary64_10990`
31×	`times-frac_binary64_10996`
23×	`add-cube-cbrt_binary64_11025`
19×	`associate-r_binary64_10930`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
7×	`distribute-lft-out--_binary64_10942` `difference-of-squares_binary64_10959`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-/l*_binary64_10935`
3×	`associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`prod-exp_binary64_11039` `associate-/l/_binary64_10937` `unswap-sqr_binary64_10958` `div-exp_binary64_11041` `cbrt-unprod_binary64_11023` `div-inv_binary64_10987` `cbrt-undiv_binary64_11024`
1×	`flip3--_binary64_10994` `div-sub_binary64_10995` `sum-log_binary64_11081` `flip--_binary64_10965` `associate-r/_binary64_10932` `clear-num_binary64_10989` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `frac-2neg_binary64_11001` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 87

Calls

3 calls:

12.0ms	(*.f64 y (/.f64 (-.f64 z t) a))
6.0ms	(/.f64 (-.f64 z t) a)
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))

series138.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
56.0ms	(*.f64 y (/.f64 (-.f64 z t) a))
25.0ms	(/.f64 (-.f64 z t) a)

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	6020	1341

prune60.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	96	5	101

Error

Counts

101 → 5

Compiler

Compiled 1454 to 323 computations (77.8% saved)

regimes399.0ms (9.5%)

Accuracy

Total 1.5b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 3966 to 3004 computations (24.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	55
1	31	55

end0.0ms (0%)

sample1.1s (27.3%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
84.0ms	2600×	body	128	invalid

Compiler

Compiled 495 to 361 computations (27.1% saved)

Details

analyze1.3s (30.8%)

sample25.0ms (0.6%)

simplify55.0ms (1.3%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite29.0ms (0.7%)

series143.0ms (3.4%)

simplify62.0ms (1.5%)

prune62.0ms (1.5%)

localize7.0ms (0.2%)

rewrite55.0ms (1.3%)

series149.0ms (3.5%)

simplify76.0ms (1.8%)

prune115.0ms (2.7%)

localize7.0ms (0.2%)

rewrite19.0ms (0.5%)

series116.0ms (2.8%)

simplify60.0ms (1.4%)

prune45.0ms (1.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series138.0ms (3.3%)

simplify83.0ms (2%)

prune60.0ms (1.4%)

regimes399.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (27.3%)

Profiling