Details

analyze773.0ms (25.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4849	91
1	4849	91
0	4	4
1	4	4

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

3.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
3.5b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_13036` `add-sqr-sqrt_binary64_13058`
10×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
7×	`add-cube-cbrt_binary64_13071`
5×	`add-log-exp_binary64_13075` `associate-l_binary64_12977` `pow1_binary64_13097`
4×	`associate-*l/_binary64_12979`
3×	`associate-r_binary64_12976` `associate-/r*_binary64_12980` `times-frac_binary64_13042`
2×	`flip--_binary64_13011` `cbrt-undiv_binary64_13070` `flip3--_binary64_13040` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `distribute-lft-out--_binary64_12988` `flip3-+_binary64_13039` `difference-of-squares_binary64_13005` `flip-+_binary64_13010` `associate-/l_binary64_12981` `distribute-lft-out_binary64_12987` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 57

Calls

3 calls:

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

series125.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
40.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
29.0ms	(*.f64 (-.f64 y x) z)

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4990	824
1	4990	824

prune55.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Error

Counts

67 → 6

Compiler

Compiled 979 to 286 computations (70.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.0b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite44.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_13042`
88×	`*-un-lft-identity_binary64_13036`
86×	`add-sqr-sqrt_binary64_13058`
58×	`add-cube-cbrt_binary64_13071`
14×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
13×	`associate-/r*_binary64_12980`
7×	`div-inv_binary64_13033` `add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
5×	`associate-/l*_binary64_12981`
4×	`add-log-exp_binary64_13075`
3×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087`
2×	`div-sub_binary64_13041` `pow1_binary64_13097` `associate-/l/_binary64_12983`
1×	`flip--_binary64_13011` `clear-num_binary64_13035` `associate-/r/_binary64_12982` `flip3--_binary64_13040` `flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-lft-out_binary64_12987` `associate-+r-_binary64_12970` `frac-2neg_binary64_13047` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

2 → 114

Calls

2 calls:

23.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series98.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
42.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6600	2589

prune83.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 2201 to 449 computations (79.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_13058`
13×	`associate-r_binary64_12976`
12×	`*-un-lft-identity_binary64_13036`
10×	`times-frac_binary64_13042` `add-cube-cbrt_binary64_13071`
7×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
5×	`associate-l_binary64_12977`
4×	`add-log-exp_binary64_13075` `pow1_binary64_13097`
2×	`flip--_binary64_13011` `unswap-sqr_binary64_13004` `flip3--_binary64_13040` `associate-*l/_binary64_12979` `prod-exp_binary64_13085` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`
1×	`cbrt-undiv_binary64_13070` `div-inv_binary64_13033` `distribute-lft-out--_binary64_12988` `div-exp_binary64_13087` `flip3-+_binary64_13039` `difference-of-squares_binary64_13005` `flip-+_binary64_13010` `associate-r/_binary64_12978` `-commutative_binary64_12967` `pow-prod-down_binary64_13107` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series95.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
42.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5403	832

prune36.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Error

Counts

61 → 6

Compiler

Compiled 878 to 232 computations (73.6% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
3.6b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_13074`
17×	`add-cbrt-cube_binary64_13072`
16×	`associate-r_binary64_12976` `add-sqr-sqrt_binary64_13058`
14×	`*-un-lft-identity_binary64_13036`
13×	`prod-exp_binary64_13085`
12×	`add-cube-cbrt_binary64_13071`
10×	`pow1_binary64_13097`
9×	`times-frac_binary64_13042`
8×	`associate-*l/_binary64_12979`
7×	`cbrt-unprod_binary64_13069`
6×	`associate-l_binary64_12977`
5×	`add-log-exp_binary64_13075`
4×	`div-exp_binary64_13087` `pow-prod-down_binary64_13107`
3×	`flip--_binary64_13011` `flip3--_binary64_13040`
2×	`cbrt-undiv_binary64_13070` `rec-exp_binary64_13086` `*-commutative_binary64_12967` `1-exp_binary64_13080` `frac-times_binary64_13046`
1×	`unswap-sqr_binary64_13004` `div-inv_binary64_13033` `distribute-lft-out--_binary64_12988` `flip3-+_binary64_13039` `difference-of-squares_binary64_13005` `flip-+_binary64_13010` `un-div-inv_binary64_13034` `associate-*r/_binary64_12978` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

3 → 75

Calls

3 calls:

11.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
7.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))

series128.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
44.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
29.0ms	(*.f64 (-.f64 y x) z)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	6029	1081

prune56.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

Counts

90 → 6

Compiler

Compiled 1241 to 396 computations (68.1% saved)

regimes149.0ms (4.9%)

Accuracy

Total 2.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1241 to 953 computations (23.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms (0%)

sample890.0ms (29.6%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
69.0ms	2035×	body	128	invalid

Compiler

Compiled 297 to 223 computations (24.9% saved)

Details

analyze773.0ms (25.7%)

sample21.0ms (0.7%)

simplify60.0ms (2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite23.0ms (0.8%)

series125.0ms (4.2%)

simplify68.0ms (2.3%)

prune55.0ms (1.8%)

localize6.0ms (0.2%)

rewrite44.0ms (1.5%)

series98.0ms (3.2%)

simplify89.0ms (3%)

prune83.0ms (2.8%)

localize7.0ms (0.2%)

rewrite17.0ms (0.6%)

series95.0ms (3.2%)

simplify66.0ms (2.2%)

prune36.0ms (1.2%)

localize10.0ms (0.3%)

rewrite27.0ms (0.9%)

series128.0ms (4.3%)

simplify71.0ms (2.3%)

prune56.0ms (1.9%)

regimes149.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample890.0ms (29.6%)

Profiling