Details

analyze288.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample37.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

4.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
4.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite142.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
13×	`add-sqr-sqrt_binary64_17150`
12×	`flip3--_binary64_17132` `flip--_binary64_17103`
11×	`*-un-lft-identity_binary64_17128`
8×	`frac-times_binary64_17138` `associate-/l/_binary64_17075`
6×	`add-cube-cbrt_binary64_17163` `cancel-sign-sub-inv_binary64_17094` `associate-l_binary64_17069`
5×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-r_binary64_17068`
4×	`pow1_binary64_17189` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
3×	`difference-of-squares_binary64_17097`
2×	`add-log-exp_binary64_17167` `sub-neg_binary64_17121` `distribute-lft-out--_binary64_17080`
1×	`frac-2neg_binary64_17139` `times-frac_binary64_17134` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `pow-prod-down_binary64_17199` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059`

Counts

2 → 68

Calls

2 calls:

13.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
11.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series293.0ms (4%)

Error

3.9b

Counts

2 → 21

Calls

2 calls:

207.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
64.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune96.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1438 to 1049 computations (27.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite251.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`add-sqr-sqrt_binary64_17150`
78×	`*-un-lft-identity_binary64_17128`
70×	`times-frac_binary64_17134`
43×	`add-cube-cbrt_binary64_17163`
22×	`associate-l_binary64_17069`
21×	`difference-of-squares_binary64_17097`
19×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `associate-r_binary64_17068`
14×	`distribute-lft-out--_binary64_17080`
11×	`associate-/l*_binary64_17073`
6×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-/r*_binary64_17072`
5×	`pow1_binary64_17189`
4×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `div-inv_binary64_17125` `associate-/l/_binary64_17075`
3×	`add-log-exp_binary64_17167`
2×	`frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `flip3--_binary64_17132` `flip--_binary64_17103`
1×	`pow-prod-down_binary64_17199` `frac-times_binary64_17138` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `*-commutative_binary64_17059`

Counts

3 → 145

Calls

3 calls:

39.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
12.0ms	(/.f64 (-.f64 1 x) y)
11.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 2857 to 2101 computations (26.5% saved)

series353.0ms (4.8%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

220.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
84.0ms	(/.f64 (-.f64 1 x) y)
32.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 807 to 657 computations (18.6% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5283	2657

prune194.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	171	6	177

Error

Counts

177 → 6

Compiler

Compiled 2956 to 2134 computations (27.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite164.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-sqr-sqrt_binary64_17150`
48×	`*-un-lft-identity_binary64_17128`
37×	`times-frac_binary64_17134`
27×	`add-cube-cbrt_binary64_17163`
25×	`associate-l_binary64_17069`
14×	`difference-of-squares_binary64_17097`
12×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
7×	`pow1_binary64_17189` `distribute-lft-out--_binary64_17080`
6×	`associate-r_binary64_17068` `associate-/l*_binary64_17073`
3×	`prod-exp_binary64_17177` `add-log-exp_binary64_17167` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `flip3--_binary64_17132` `flip--_binary64_17103` `associate-/r*_binary64_17072`
2×	`pow-prod-down_binary64_17199` `-commutative_binary64_17059` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-times_binary64_17138` `sub-neg_binary64_17121` `distribute-rgt-in_binary64_17078` `cancel-sign-sub-inv_binary64_17094` `distribute-lft-in_binary64_17077` `associate-r/_binary64_17070` `div-inv_binary64_17125` `associate-/l/_binary64_17075`
1×	`associate-*l/_binary64_17071` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127`

Counts

3 → 109

Calls

3 calls:

15.0ms	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
6.0ms	(/.f64 (-.f64 1 x) y)
4.0ms	(*.f64 x 1/3)

Compiler

Compiled 2102 to 1496 computations (28.8% saved)

series300.0ms (4.1%)

Error

Counts

3 → 24

Calls

3 calls:

175.0ms	(.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (.f64 x 1/3)))
75.0ms	(/.f64 (-.f64 1 x) y)
29.0ms	(*.f64 x 1/3)

Compiler

Compiled 757 to 617 computations (18.5% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4933	1932
1	4933	1932

prune142.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	133	6	139

Error

Counts

139 → 6

Compiler

Compiled 2234 to 1557 computations (30.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(/.f64 (-.f64 3 x) (cbrt.f64 3))
0.3b	(/.f64 (/.f64 (-.f64 1 x) y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b	(.f64 (/.f64 (/.f64 (-.f64 1 x) y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 3 x) (cbrt.f64 3)))

rewrite694.0ms (9.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

191×	`times-frac_binary64_17134`
174×	`add-sqr-sqrt_binary64_17150`
147×	`*-un-lft-identity_binary64_17128`
82×	`add-cube-cbrt_binary64_17163`
61×	`add-exp-log_binary64_17166`
43×	`add-cbrt-cube_binary64_17164`
39×	`difference-of-squares_binary64_17097`
36×	`cbrt-prod_binary64_17159`
34×	`associate-r_binary64_17068`
33×	`associate-/l*_binary64_17073`
26×	`associate-l_binary64_17069` `distribute-lft-out--_binary64_17080`
25×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
16×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
10×	`associate-/r*_binary64_17072`
9×	`unswap-sqr_binary64_17096`
8×	`div-inv_binary64_17125`
6×	`pow1_binary64_17189`
5×	`associate-/l/_binary64_17075`
4×	`add-log-exp_binary64_17167` `div-sub_binary64_17133`
3×	`frac-2neg_binary64_17139` `clear-num_binary64_17127`
2×	`flip3--_binary64_17132` `flip--_binary64_17103`
1×	`pow-prod-down_binary64_17199` `frac-times_binary64_17138` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `*-commutative_binary64_17059`

Counts

4 → 264

Calls

4 calls:

49.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 x) y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 3 x) (cbrt.f64 3)))
13.0ms	(/.f64 (/.f64 (-.f64 1 x) y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
9.0ms	(/.f64 (-.f64 1 x) y)
7.0ms	(/.f64 (-.f64 3 x) (cbrt.f64 3))

Compiler

Compiled 7428 to 6006 computations (19.1% saved)

series858.0ms (11.6%)

Error

Counts

4 → 36

Calls

4 calls:

401.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 x) y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (-.f64 3 x) (cbrt.f64 3)))
234.0ms	(/.f64 (/.f64 (-.f64 1 x) y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
87.0ms	(/.f64 (-.f64 1 x) y)
79.0ms	(/.f64 (-.f64 3 x) (cbrt.f64 3))

Compiler

Compiled 1838 to 1645 computations (10.5% saved)

simplify169.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4941	6160
1	4941	6160

prune604.0ms (8.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	300	6	306

Error

Counts

306 → 6

Compiler

Compiled 7065 to 5628 computations (20.3% saved)

regimes625.0ms (8.5%)

Accuracy

Total 0.1b remaining (100%)

Threshold costs 0.1b (100%)

Compiler

Compiled 5498 to 4796 computations (12.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms (0%)

sample1.8s (24.6%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
11.0ms	311×	body	128	invalid

Compiler

Compiled 956 to 837 computations (12.4% saved)

Details

analyze288.0ms (3.9%)

sample37.0ms (0.5%)

simplify84.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite142.0ms (1.9%)

series293.0ms (4%)

simplify69.0ms (0.9%)

prune96.0ms (1.3%)

localize15.0ms (0.2%)

rewrite251.0ms (3.4%)

series353.0ms (4.8%)

simplify84.0ms (1.1%)

prune194.0ms (2.6%)

localize7.0ms (0.1%)

rewrite164.0ms (2.2%)

series300.0ms (4.1%)

simplify75.0ms (1%)

prune142.0ms (1.9%)

localize11.0ms (0.1%)

rewrite694.0ms (9.4%)

series858.0ms (11.6%)

simplify169.0ms (2.3%)

prune604.0ms (8.2%)

regimes625.0ms (8.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (24.6%)

Profiling