Details

analyze370.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5007	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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5574	16

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

7.9b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
7.3b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite119.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64_22584`
10×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
9×	`add-sqr-sqrt_binary64_22606`
7×	`add-cube-cbrt_binary64_22619`
5×	`pow1_binary64_22645` `add-log-exp_binary64_22623`
4×	`times-frac_binary64_22590` `distribute-lft-out_binary64_22535` `flip3-+_binary64_22587` `associate-r/_binary64_22526` `flip-+_binary64_22558` `associate-/r_binary64_22528` `associate-r_binary64_22524`
3×	`associate-l_binary64_22525`
2×	`prod-exp_binary64_22633` `div-exp_binary64_22635` `cbrt-undiv_binary64_22618` `cbrt-unprod_binary64_22617` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530`
1×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `div-inv_binary64_22581` `associate-/l_binary64_22529` `pow-prod-down_binary64_22655` `unswap-sqr_binary64_22552` `distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533` `-commutative_binary64_22515` `sum-log_binary64_22675` `+-commutative_binary64_22514`

Counts

3 → 62

Calls

3 calls:

17.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
11.0ms	(+.f64 (/.f64 x y) 1)
10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

Compiler

Compiled 1168 to 684 computations (41.4% saved)

series348.0ms (5.3%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

128.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
113.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
66.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1133 to 835 computations (26.3% saved)

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5034	1393

prune100.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Error

0.0b

Counts

105 → 5

Compiler

Compiled 1549 to 807 computations (47.9% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite301.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

158×	`*-un-lft-identity_binary64_22584`
146×	`times-frac_binary64_22590`
72×	`add-cube-cbrt_binary64_22619` `add-sqr-sqrt_binary64_22606`
43×	`distribute-lft-out_binary64_22535`
26×	`associate-/r*_binary64_22528`
11×	`associate-/r/_binary64_22530`
10×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
7×	`flip3-+_binary64_22587` `flip-+_binary64_22558` `associate-/l*_binary64_22529`
6×	`div-inv_binary64_22581`
5×	`add-log-exp_binary64_22623`
4×	`div-exp_binary64_22635` `cbrt-undiv_binary64_22618`
3×	`pow1_binary64_22645`
2×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `associate-/l/_binary64_22531`
1×	`sum-log_binary64_22675` `+-commutative_binary64_22514`

Counts

3 → 158

Calls

3 calls:

28.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
22.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
13.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 3709 to 2219 computations (40.2% saved)

series405.0ms (6.1%)

Error

0.0b

Counts

3 → 51

Calls

3 calls:

144.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
136.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
78.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1858 to 1312 computations (29.4% saved)

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4969	4974
1	4969	4974

prune225.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	209	5	214

Error

0.0b

Counts

214 → 5

Compiler

Compiled 4175 to 2325 computations (44.3% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite180.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_22615`
23×	`add-sqr-sqrt_binary64_22606`
15×	`add-cube-cbrt_binary64_22619` `*-un-lft-identity_binary64_22584`
11×	`pow1_binary64_22645`
9×	`pow1/3_binary64_22666`
6×	`add-exp-log_binary64_22622` `swap-sqr_binary64_22551` `associate-l_binary64_22525` `associate-r_binary64_22524`
4×	`add-log-exp_binary64_22623` `add-cbrt-cube_binary64_22620` `unswap-sqr_binary64_22552`
2×	`pow-prod-down_binary64_22655` `pow-prod-up_binary64_22654` `pow-sqr_binary64_22557`
1×	`pow2_binary64_22665` `pow-plus_binary64_22647` `prod-exp_binary64_22633` `cbrt-unprod_binary64_22617` `*-commutative_binary64_22515`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3568 to 1986 computations (44.3% saved)

series424.0ms (6.4%)

Error

Counts

4 → 12

Calls

4 calls:

118.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
99.0ms	(cbrt.f64 x)
95.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)

Compiler

Compiled 1671 to 1175 computations (29.7% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune220.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 3990 to 2369 computations (40.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 x))
0.0b	(+.f64 x (*.f64 x (/.f64 x y)))
0.2b	(*.f64 x (/.f64 x y))
7.3b	(.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x (.f64 x (/.f64 x y))))

rewrite200.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`*-un-lft-identity_binary64_22584`
42×	`add-sqr-sqrt_binary64_22606`
36×	`times-frac_binary64_22590`
30×	`add-cube-cbrt_binary64_22619`
22×	`add-exp-log_binary64_22622`
21×	`associate-l_binary64_22525`
16×	`add-cbrt-cube_binary64_22620` `associate-r_binary64_22524`
9×	`pow1_binary64_22645`
7×	`distribute-lft-out_binary64_22535`
6×	`prod-exp_binary64_22633` `add-log-exp_binary64_22623`
5×	`div-exp_binary64_22635` `flip3-+_binary64_22587` `flip-+_binary64_22558` `unswap-sqr_binary64_22552`
4×	`cbrt-unprod_binary64_22617` `associate-/r/_binary64_22530` `associate-/r*_binary64_22528`
3×	`cbrt-undiv_binary64_22618` `associate-r/_binary64_22526` `div-inv_binary64_22581` `associate-/l_binary64_22529`
2×	`pow-prod-down_binary64_22655` `1-exp_binary64_22628` `rec-exp_binary64_22634` `frac-times_binary64_22594` `*-commutative_binary64_22515`
1×	`distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533` `associate-*l/_binary64_22527` `sum-log_binary64_22675` `+-commutative_binary64_22514` `inv-pow_binary64_22669` `pow-flip_binary64_22658` `frac-2neg_binary64_22595` `clear-num_binary64_22583`

Counts

4 → 126

Calls

4 calls:

23.0ms	(.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x (.f64 x (/.f64 x y))))
7.0ms	(*.f64 x (/.f64 x y))
5.0ms	(/.f64 1 (+.f64 1 x))
3.0ms	(+.f64 x (*.f64 x (/.f64 x y)))

Compiler

Compiled 2704 to 1303 computations (51.8% saved)

series389.0ms (5.9%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

135.0ms	(.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x (.f64 x (/.f64 x y))))
121.0ms	(+.f64 x (*.f64 x (/.f64 x y)))
68.0ms	(*.f64 x (/.f64 x y))
27.0ms	(/.f64 1 (+.f64 1 x))

Compiler

Compiled 1561 to 1140 computations (27% saved)

simplify149.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4944	2478
1	4944	2478

prune184.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	174	5	179

Error

Counts

179 → 5

Compiler

Compiled 3018 to 1481 computations (50.9% saved)

regimes447.0ms (6.8%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 4220 to 3019 computations (28.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample2.0s (30.2%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	128	valid
10.0ms	261×	body	128	invalid

Compiler

Compiled 1390 to 998 computations (28.2% saved)

Details

analyze370.0ms (5.6%)

sample31.0ms (0.5%)

simplify128.0ms (1.9%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite119.0ms (1.8%)

series348.0ms (5.3%)

simplify105.0ms (1.6%)

prune100.0ms (1.5%)

localize14.0ms (0.2%)

rewrite301.0ms (4.6%)

series405.0ms (6.1%)

simplify109.0ms (1.7%)

prune225.0ms (3.4%)

localize28.0ms (0.4%)

rewrite180.0ms (2.7%)

series424.0ms (6.4%)

simplify92.0ms (1.4%)

prune220.0ms (3.3%)

localize16.0ms (0.2%)

rewrite200.0ms (3%)

series389.0ms (5.9%)

simplify149.0ms (2.3%)

prune184.0ms (2.8%)

regimes447.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (30.2%)

Profiling