Details

analyze1.3s (16%)

Algorithm

2×	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%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14
43.9%	50.4%	5.8%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample975.0ms (11.7%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
8.0ms	163×	body	128	invalid

Compiler

Compiled 3599 to 4675 computations (-29.9% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune3.0ms (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

7.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

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)
7.8b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite78.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
7×	`add-cube-cbrt_binary64_14094`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `associate-l_binary64_14000`
4×	`associate-*l/_binary64_14002`
3×	`times-frac_binary64_14065` `associate-/r_binary64_14003` `associate-r*_binary64_13999`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `cbrt-unprod_binary64_14092` `flip3--_binary64_14063` `associate-/l/_binary64_14006` `flip--_binary64_14034`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `div-inv_binary64_14056` `associate-/l_binary64_14004` `pow-prod-down_binary64_14130` `unswap-sqr_binary64_14027` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `-commutative_binary64_13990` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `+-commutative_binary64_13989`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
6.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

Compiler

Compiled 925 to 251 computations (72.9% saved)

series906.0ms (10.9%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

441.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
287.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
142.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5127	1245

prune85.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Error

Counts

115 → 6

Compiler

Compiled 1334 to 292 computations (78.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.0b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite147.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_14065`
88×	`*-un-lft-identity_binary64_14059`
86×	`add-sqr-sqrt_binary64_14081`
58×	`add-cube-cbrt_binary64_14094`
14×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
13×	`associate-/r*_binary64_14003`
7×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `div-inv_binary64_14056`
5×	`associate-/l*_binary64_14004`
4×	`add-log-exp_binary64_14098`
3×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
2×	`pow1_binary64_14120` `div-sub_binary64_14064` `associate-/l/_binary64_14006`
1×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `flip3--_binary64_14063` `flip--_binary64_14034` `associate-/r/_binary64_14005` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `associate-+r-_binary64_13993` `+-commutative_binary64_13989`

Counts

2 → 114

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series769.0ms (9.2%)

Error

Counts

2 → 42

Calls

2 calls:

432.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
315.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5116	2932

prune120.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	156	6	162

Error

Counts

162 → 6

Compiler

Compiled 2463 to 454 computations (81.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.8b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_14081`
13×	`associate-r_binary64_13999`
12×	`*-un-lft-identity_binary64_14059`
10×	`add-cube-cbrt_binary64_14094` `times-frac_binary64_14065`
7×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`associate-l_binary64_14000`
4×	`pow1_binary64_14120` `add-log-exp_binary64_14098`
2×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `flip3--_binary64_14063` `frac-times_binary64_14069` `flip--_binary64_14034` `unswap-sqr_binary64_14027` `associate-*l/_binary64_14002`
1×	`pow-prod-down_binary64_14130` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `associate-r/_binary64_14001` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011` `div-inv_binary64_14056` `-commutative_binary64_13990` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series739.0ms (8.9%)

Error

Counts

2 → 42

Calls

2 calls:

407.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
311.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5762	1171

prune59.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Error

Counts

97 → 6

Compiler

Compiled 1138 to 236 computations (79.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
0.0b	(/.f64 (-.f64 y x) t)
7.1b	(*.f64 z (/.f64 (-.f64 y x) t))

rewrite93.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_14081`
37×	`*-un-lft-identity_binary64_14059`
31×	`times-frac_binary64_14065`
23×	`add-cube-cbrt_binary64_14094`
19×	`associate-r_binary64_13999`
10×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
7×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
5×	`pow1_binary64_14120` `add-log-exp_binary64_14098` `associate-/l*_binary64_14004`
3×	`associate-l_binary64_14000` `associate-/r*_binary64_14003`
2×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `div-inv_binary64_14056` `associate-/l/_binary64_14006`
1×	`pow-prod-down_binary64_14130` `associate-r/_binary64_14001` `-commutative_binary64_13990` `frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058` `flip3--_binary64_14063` `flip--_binary64_14034` `sum-log_binary64_14150` `flip3-+_binary64_14062` `flip-+_binary64_14033` `+-commutative_binary64_13989`

Counts

3 → 87

Calls

3 calls:

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

Compiler

Compiled 1505 to 390 computations (74.1% saved)

series915.0ms (11%)

Error

Counts

3 → 57

Calls

3 calls:

412.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
302.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
173.0ms	(/.f64 (-.f64 y x) t)

Compiler

Compiled 1499 to 877 computations (41.5% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4994	1752
1	4994	1752

prune95.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	144	6	150

Error

Counts

150 → 6

Compiler

Compiled 1820 to 334 computations (81.6% saved)

regimes335.0ms (4%)

Accuracy

Total 1.9b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2656 to 2118 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms (0%)

sample1.3s (15%)

Algorithm

1×

intervals

Results

256.0ms	8000×	body	128	valid
89.0ms	2552×	body	128	invalid

Compiler

Compiled 580 to 456 computations (21.4% saved)

Details

analyze1.3s (16%)

sample975.0ms (11.7%)

simplify55.0ms (0.7%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite78.0ms (0.9%)

series906.0ms (10.9%)

simplify58.0ms (0.7%)

prune85.0ms (1%)

localize6.0ms (0.1%)

rewrite147.0ms (1.8%)

series769.0ms (9.2%)

simplify76.0ms (0.9%)

prune120.0ms (1.4%)

localize6.0ms (0.1%)

rewrite55.0ms (0.7%)

series739.0ms (8.9%)

simplify77.0ms (0.9%)

prune59.0ms (0.7%)

localize6.0ms (0.1%)

rewrite93.0ms (1.1%)

series915.0ms (11%)

simplify77.0ms (0.9%)

prune95.0ms (1.1%)

regimes335.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (15%)

Profiling