Details

analyze605.0ms (18%)

Algorithm

1×

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)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	71×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify144.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (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

7.1b

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 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.7b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite30.0ms (0.9%)

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:

8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
8.0ms	(*.f64 (-.f64 y x) z)
6.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series125.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
43.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
28.0ms	(*.f64 (-.f64 y x) z)

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4990	824
1	4990	824

prune57.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Error

0.0b

Counts

67 → 9

Compiler

Compiled 1031 to 324 computations (68.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (1.3%)

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:

22.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series98.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
44.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify87.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	6600	2589

prune86.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	123	6	129

Error

Counts

129 → 6

Compiler

Compiled 2209 to 453 computations (79.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (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:

13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series91.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
40.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5403	832

prune37.0ms (1.1%)

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 886 to 236 computations (73.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (/.f64 t z)))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
13.1b	(cbrt.f64 (/.f64 t z))
13.1b	(cbrt.f64 (/.f64 t z))
13.1b	(cbrt.f64 (/.f64 t z))

rewrite86.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

175×	`times-frac_binary64_13042`
148×	`add-sqr-sqrt_binary64_13058`
120×	`*-un-lft-identity_binary64_13036`
110×	`cbrt-prod_binary64_13067`
85×	`associate-r_binary64_12976`
84×	`add-cube-cbrt_binary64_13071`
49×	`add-exp-log_binary64_13074`
20×	`prod-exp_binary64_13085`
18×	`add-cbrt-cube_binary64_13072`
16×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
15×	`div-exp_binary64_13087`
12×	`unswap-sqr_binary64_13004`
10×	`div-inv_binary64_13033` `associate-l_binary64_12977`
8×	`cbrt-div_binary64_13068` `cbrt-unprod_binary64_13069`
7×	`cbrt-undiv_binary64_13070`
6×	`pow1_binary64_13097`
4×	`add-log-exp_binary64_13075` `associate-/r/_binary64_12982` `rec-exp_binary64_13086` `1-exp_binary64_13080`
3×	`pow1/3_binary64_13118`
2×	`associate-l/_binary64_12979` `associate-r/_binary64_12978` `frac-times_binary64_13046`
1×	`*-commutative_binary64_12967` `pow-prod-down_binary64_13107`

Counts

4 → 205

Calls

4 calls:

52.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (/.f64 t z)))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
2.0ms	(cbrt.f64 (/.f64 t z))
2.0ms	(cbrt.f64 (/.f64 t z))
2.0ms	(cbrt.f64 (/.f64 t z))

series226.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (/.f64 t z)))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
56.0ms	(cbrt.f64 (/.f64 t z))
56.0ms	(cbrt.f64 (/.f64 t z))
53.0ms	(cbrt.f64 (/.f64 t z))

simplify98.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5038	5116

prune183.0ms (5.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	217	6	223

Error

Counts

223 → 6

Compiler

Compiled 6076 to 1187 computations (80.5% saved)

regimes210.0ms (6.2%)

Accuracy

Total 1.3b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 1681 to 1233 computations (26.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	81
1	48	81

end0.0ms (0%)

sample943.0ms (28%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
66.0ms	1994×	body	128	invalid

Compiler

Compiled 431 to 293 computations (32% saved)

Details

analyze605.0ms (18%)

sample24.0ms (0.7%)

simplify144.0ms (4.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite30.0ms (0.9%)

series125.0ms (3.7%)

simplify66.0ms (2%)

prune57.0ms (1.7%)

localize8.0ms (0.2%)

rewrite42.0ms (1.3%)

series98.0ms (2.9%)

simplify87.0ms (2.6%)

prune86.0ms (2.5%)

localize6.0ms (0.2%)

rewrite20.0ms (0.6%)

series91.0ms (2.7%)

simplify66.0ms (2%)

prune37.0ms (1.1%)

localize11.0ms (0.3%)

rewrite86.0ms (2.6%)

series226.0ms (6.7%)

simplify98.0ms (2.9%)

prune183.0ms (5.5%)

regimes210.0ms (6.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample943.0ms (28%)

Profiling