Details

analyze926.0ms (12.4%)

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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (0%)

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

5.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

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))
5.8b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite105.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
10×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
7×	`add-cube-cbrt_binary64_12389`
5×	`pow1_binary64_12415` `add-log-exp_binary64_12393` `associate-l_binary64_12295`
4×	`associate-*l/_binary64_12297`
3×	`times-frac_binary64_12360` `associate-/r_binary64_12298` `associate-r*_binary64_12294`
2×	`prod-exp_binary64_12403` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `cbrt-unprod_binary64_12387` `flip3--_binary64_12358` `associate-/l/_binary64_12301` `flip--_binary64_12329`
1×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `associate-/l_binary64_12299` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `distribute-lft-out_binary64_12305` `+-commutative_binary64_12284` `pow-prod-down_binary64_12425` `unswap-sqr_binary64_12322` `difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306` `-commutative_binary64_12285`

Counts

3 → 57

Calls

3 calls:

20.0ms	(*.f64 (-.f64 y x) z)
13.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
10.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

Compiler

Compiled 925 to 251 computations (72.9% saved)

series698.0ms (9.3%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

312.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
206.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
150.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5127	1245

prune89.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	5	115

Error

0.0b

Counts

115 → 5

Compiler

Compiled 1326 to 292 computations (78% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite161.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

119×	`times-frac_binary64_12360`
88×	`*-un-lft-identity_binary64_12354`
86×	`add-sqr-sqrt_binary64_12376`
58×	`add-cube-cbrt_binary64_12389`
14×	`difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306`
13×	`associate-/r*_binary64_12298`
7×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `div-inv_binary64_12351`
5×	`associate-/l*_binary64_12299`
4×	`add-log-exp_binary64_12393`
3×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388`
2×	`pow1_binary64_12415` `div-sub_binary64_12359` `associate-/l/_binary64_12301`
1×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `flip3--_binary64_12358` `flip--_binary64_12329` `associate-/r/_binary64_12300` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `distribute-lft-out_binary64_12305` `associate-+r-_binary64_12288` `+-commutative_binary64_12284`

Counts

2 → 114

Calls

2 calls:

28.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
13.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series578.0ms (7.7%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

329.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
228.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5116	2932

prune116.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Error

0.0b

Counts

161 → 7

Compiler

Compiled 2488 to 477 computations (80.8% saved)

localize13.0ms (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))

rewrite61.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_12376`
13×	`associate-r_binary64_12294`
12×	`*-un-lft-identity_binary64_12354`
10×	`add-cube-cbrt_binary64_12389` `times-frac_binary64_12360`
7×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
5×	`associate-l_binary64_12295`
4×	`pow1_binary64_12415` `add-log-exp_binary64_12393`
2×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `flip3--_binary64_12358` `frac-times_binary64_12364` `flip--_binary64_12329` `unswap-sqr_binary64_12322` `associate-*l/_binary64_12297`
1×	`pow-prod-down_binary64_12425` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `associate-r/_binary64_12296` `difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306` `div-inv_binary64_12351` `-commutative_binary64_12285` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `+-commutative_binary64_12284`

Counts

2 → 49

Calls

2 calls:

18.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series571.0ms (7.6%)

Error

Counts

2 → 42

Calls

2 calls:

309.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
233.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5762	1171

prune58.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Error

0.0b

Counts

98 → 7

Compiler

Compiled 1163 to 259 computations (77.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (/.f64 t z)))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
10.6b	(cbrt.f64 (/.f64 t z))
10.6b	(cbrt.f64 (/.f64 t z))
10.6b	(cbrt.f64 (/.f64 t z))

rewrite320.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

175×	`times-frac_binary64_12360`
148×	`add-sqr-sqrt_binary64_12376`
120×	`*-un-lft-identity_binary64_12354`
110×	`cbrt-prod_binary64_12385`
85×	`associate-r_binary64_12294`
84×	`add-cube-cbrt_binary64_12389`
49×	`add-exp-log_binary64_12392`
20×	`prod-exp_binary64_12403`
18×	`add-cbrt-cube_binary64_12390`
16×	`difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306`
15×	`div-exp_binary64_12405`
12×	`unswap-sqr_binary64_12322`
10×	`div-inv_binary64_12351` `associate-l_binary64_12295`
8×	`cbrt-div_binary64_12386` `cbrt-unprod_binary64_12387`
7×	`cbrt-undiv_binary64_12388`
6×	`pow1_binary64_12415`
4×	`add-log-exp_binary64_12393` `1-exp_binary64_12398` `rec-exp_binary64_12404` `associate-/r/_binary64_12300`
3×	`pow1/3_binary64_12436`
2×	`frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296`
1×	`pow-prod-down_binary64_12425` `*-commutative_binary64_12285`

Counts

4 → 205

Calls

4 calls:

60.0ms	(.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))

Compiler

Compiled 6795 to 1615 computations (76.2% saved)

series993.0ms (13.3%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

280.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 t z)) (cbrt.f64 (/.f64 t z)))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
242.0ms	(cbrt.f64 (/.f64 t z))
218.0ms	(cbrt.f64 (/.f64 t z))
215.0ms	(cbrt.f64 (/.f64 t z))

Compiler

Compiled 2130 to 1392 computations (34.6% saved)

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4978	5416
1	4978	5416

prune275.0ms (3.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	241	7	248

Error

0.0b

Counts

248 → 7

Compiler

Compiled 6457 to 1274 computations (80.3% saved)

regimes429.0ms (5.7%)

Accuracy

Total 1.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2906 to 2168 computations (25.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	55
1	30	55

end0.0ms (0%)

sample1.6s (21%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
83.0ms	2053×	body	128	invalid

Compiler

Compiled 655 to 475 computations (27.5% saved)

Details

analyze926.0ms (12.4%)

sample22.0ms (0.3%)

simplify61.0ms (0.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite105.0ms (1.4%)

series698.0ms (9.3%)

simplify69.0ms (0.9%)

prune89.0ms (1.2%)

localize7.0ms (0.1%)

rewrite161.0ms (2.2%)

series578.0ms (7.7%)

simplify90.0ms (1.2%)

prune116.0ms (1.6%)

localize13.0ms (0.2%)

rewrite61.0ms (0.8%)

series571.0ms (7.6%)

simplify82.0ms (1.1%)

prune58.0ms (0.8%)

localize12.0ms (0.2%)

rewrite320.0ms (4.3%)

series993.0ms (13.3%)

simplify158.0ms (2.1%)

prune275.0ms (3.7%)

regimes429.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21%)

Profiling