Details

analyze533.0ms (9%)

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify365.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (271.0ms)

Iter	Nodes	Cost
0	5412	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

1.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.7b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite116.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64_14081`
70×	`*-un-lft-identity_binary64_14059`
51×	`times-frac_binary64_14065`
31×	`associate-l_binary64_14000`
26×	`add-cube-cbrt_binary64_14094`
22×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
9×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`associate-/l_binary64_14004` `associate-/r_binary64_14003`
4×	`pow1_binary64_14120` `associate-/r/_binary64_14005`
3×	`flip3--_binary64_14063` `flip--_binary64_14034` `associate-r_binary64_13999`
2×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `add-log-exp_binary64_14098` `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-l/_binary64_14002` `-commutative_binary64_13990` `frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058`

Counts

2 → 102

Calls

2 calls:

19.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1903 to 389 computations (79.6% saved)

series375.0ms (6.3%)

Error

0.1b

Counts

2 → 38

Calls

2 calls:

208.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
141.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1425 to 901 computations (36.8% saved)

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5386	2259

prune111.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	130	10	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	11	141

Error

Counts

141 → 11

Compiler

Compiled 2300 to 530 computations (77% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))
7.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))

rewrite149.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`add-exp-log_binary64_14097`
44×	`prod-exp_binary64_14108`
31×	`add-cbrt-cube_binary64_14095`
19×	`div-exp_binary64_14110`
18×	`cbrt-unprod_binary64_14092` `cbrt-div_binary64_14091`
15×	`add-sqr-sqrt_binary64_14081` `-un-lft-identity_binary64_14059` `associate-l*_binary64_14000` `cbrt-prod_binary64_14090`
9×	`pow1_binary64_14120` `add-cube-cbrt_binary64_14094` `cbrt-undiv_binary64_14093` `flip3--_binary64_14063` `flip--_binary64_14034`
8×	`associate-/r/_binary64_14005`
6×	`1-exp_binary64_14103` `rec-exp_binary64_14109`
5×	`associate-*r/_binary64_14001` `frac-times_binary64_14069`
4×	`add-log-exp_binary64_14098`
3×	`pow-prod-down_binary64_14130` `associate-*l/_binary64_14002` `times-frac_binary64_14065` `pow1/3_binary64_14141` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
1×	`div-inv_binary64_14056` `associate-r_binary64_13999` `*-commutative_binary64_13990`

Counts

4 → 104

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 3352 to 696 computations (79.2% saved)

series616.0ms (10.4%)

Error

Counts

4 → 52

Calls

4 calls:

248.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))
110.0ms	(cbrt.f64 (-.f64 z y))
110.0ms	(cbrt.f64 (-.f64 z y))
102.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 3511 to 2329 computations (33.7% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4950	2327
1	4950	2327

prune119.0ms (2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	156	11	167

Error

Counts

167 → 11

Compiler

Compiled 3493 to 851 computations (75.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.3b

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

rewrite54.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_14081`
21×	`associate-r_binary64_13999`
19×	`*-un-lft-identity_binary64_14059`
16×	`times-frac_binary64_14065`
11×	`add-cube-cbrt_binary64_14094`
6×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`associate-l_binary64_14000`
4×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
3×	`pow1_binary64_14120` `flip3--_binary64_14063` `flip--_binary64_14034`
2×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `frac-times_binary64_14069` `unswap-sqr_binary64_14027` `associate-*l/_binary64_14002` `associate-/r/_binary64_14005`
1×	`pow-prod-down_binary64_14130` `div-exp_binary64_14110` `add-log-exp_binary64_14098` `cbrt-undiv_binary64_14093` `associate-r/_binary64_14001` `div-inv_binary64_14056` `-commutative_binary64_13990`

Counts

1 → 46

Calls

1 calls:

14.0ms

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

Compiler

Compiled 839 to 204 computations (75.7% saved)

series220.0ms (3.7%)

Error

Counts

1 → 19

Calls

1 calls:

211.0ms

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

Compiler

Compiled 678 to 410 computations (39.5% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4975	1000
1	4975	1000

prune45.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	6	8
Picked	0	1	1
Done	1	1	2
Total	66	10	76

Error

Counts

76 → 10

Compiler

Compiled 1023 to 270 computations (73.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 t (-.f64 x y))
0.0b	(/.f64 1 (-.f64 z y))
11.0b	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))

rewrite131.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64_14081`
42×	`*-un-lft-identity_binary64_14059`
31×	`add-exp-log_binary64_14097`
30×	`times-frac_binary64_14065`
26×	`add-cube-cbrt_binary64_14094` `associate-r_binary64_13999`
19×	`add-cbrt-cube_binary64_14095`
13×	`prod-exp_binary64_14108`
11×	`pow1_binary64_14120`
8×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
7×	`cbrt-unprod_binary64_14092` `associate-*r/_binary64_14001`
6×	`div-exp_binary64_14110` `cancel-sign-sub-inv_binary64_14025`
5×	`flip3--_binary64_14063` `flip--_binary64_14034` `associate-/r*_binary64_14003`
4×	`pow-prod-down_binary64_14130` `associate-l_binary64_14000` `associate-/r/_binary64_14005` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
3×	`1-exp_binary64_14103` `rec-exp_binary64_14109` `add-log-exp_binary64_14098` `cbrt-undiv_binary64_14093` `associate-/l*_binary64_14004`
2×	`frac-times_binary64_14069` `associate-l/_binary64_14002` `div-inv_binary64_14056` `-commutative_binary64_13990` `sub-neg_binary64_14052`
1×	`un-div-inv_binary64_14057` `inv-pow_binary64_14144` `pow-flip_binary64_14133` `frac-2neg_binary64_14070` `clear-num_binary64_14058` `unswap-sqr_binary64_14027`

Counts

3 → 121

Calls

3 calls:

15.0ms	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))
7.0ms	(*.f64 t (-.f64 x y))
5.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 2262 to 844 computations (62.7% saved)

series362.0ms (6.1%)

Error

Counts

3 → 43

Calls

3 calls:

218.0ms	(.f64 (.f64 t (-.f64 x y)) (/.f64 1 (-.f64 z y)))
92.0ms	(*.f64 t (-.f64 x y))
31.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 1446 to 945 computations (34.6% saved)

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5082	1972

prune103.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	164	10	174

Error

Counts

174 → 10

Compiler

Compiled 2337 to 692 computations (70.4% saved)

regimes719.0ms (12.2%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7954 to 5181 computations (34.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms (0%)

sample1.5s (26.2%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
20.0ms	649×	body	128	invalid

Compiler

Compiled 1289 to 846 computations (34.4% saved)

Details

analyze533.0ms (9%)

sample20.0ms (0.3%)

simplify365.0ms (6.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite116.0ms (2%)

series375.0ms (6.3%)

simplify75.0ms (1.3%)

prune111.0ms (1.9%)

localize12.0ms (0.2%)

rewrite149.0ms (2.5%)

series616.0ms (10.4%)

simplify90.0ms (1.5%)

prune119.0ms (2%)

localize6.0ms (0.1%)

rewrite54.0ms (0.9%)

series220.0ms (3.7%)

simplify72.0ms (1.2%)

prune45.0ms (0.8%)

localize11.0ms (0.2%)

rewrite131.0ms (2.2%)

series362.0ms (6.1%)

simplify51.0ms (0.9%)

prune103.0ms (1.7%)

regimes719.0ms (12.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (26.2%)

Profiling