Details

analyze225.0ms (4.6%)

Algorithm

1×

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify218.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5305	18

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

1.5b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

7.6b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
7.6b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_12354`
11×	`add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
9×	`times-frac_binary64_12360`
7×	`add-log-exp_binary64_12393`
5×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
3×	`associate-/r_binary64_12298` `associate-/l_binary64_12299` `pow1_binary64_12415`
2×	`flip--_binary64_12329` `associate-/r/_binary64_12300` `flip3--_binary64_12358`
1×	`clear-num_binary64_12353` `distribute-lft-out_binary64_12305` `diff-log_binary64_12446` `div-inv_binary64_12351` `frac-2neg_binary64_12365` `cbrt-undiv_binary64_12388` `cancel-sign-sub-inv_binary64_12320` `sum-log_binary64_12445` `flip-+_binary64_12328` `div-exp_binary64_12405` `sub-neg_binary64_12347` `+-commutative_binary64_12284` `flip3-+_binary64_12357`

Counts

3 → 53

Calls

6 calls:

10.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
0.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

series558.0ms (11.3%)

Counts

3 → 56

Calls

3 calls:

236.0ms

(+.f64 x (/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))))

205.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

117.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

Compiler

Compiled 1471 to 1204 computations (18.2% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5133	2365

prune118.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

Counts

110 → 4

Compiler

Compiled 2020 to 979 computations (51.5% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))))
0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
2.7b	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
5.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_12376`
40×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
38×	`cbrt-prod_binary64_12385` `times-frac_binary64_12360`
30×	`associate-r_binary64_12294`
20×	`add-exp-log_binary64_12392`
16×	`pow1_binary64_12415`
11×	`add-cbrt-cube_binary64_12390`
7×	`cbrt-unprod_binary64_12387` `associate-l_binary64_12295` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322`
6×	`associate-/l*_binary64_12299` `pow1/3_binary64_12436` `add-log-exp_binary64_12393` `swap-sqr_binary64_12321`
5×	`pow-prod-down_binary64_12425`
4×	`associate-/r/_binary64_12300`
3×	`flip--_binary64_12329` `associate-/r*_binary64_12298` `cbrt-undiv_binary64_12388` `flip3--_binary64_12358` `div-exp_binary64_12405`
2×	`pow-prod-up_binary64_12424` `div-inv_binary64_12351` `pow-sqr_binary64_12327` `*-commutative_binary64_12285`
1×	`clear-num_binary64_12353` `diff-log_binary64_12446` `frac-2neg_binary64_12365` `cancel-sign-sub-inv_binary64_12320` `associate-*r/_binary64_12296` `pow2_binary64_12435` `sub-neg_binary64_12347` `pow-plus_binary64_12417`

Counts

4 → 140

Calls

8 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))
8.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
0.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))))

series785.0ms (15.9%)

Counts

4 → 55

Calls

4 calls:

347.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
226.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))
120.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
91.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))

Compiler

Compiled 2167 to 1691 computations (22% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4962	4067
1	4962	4067

prune205.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Error

Counts

199 → 4

Compiler

Compiled 4866 to 2080 computations (57.3% saved)

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

2.7b	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
0.6b	(cbrt.f64 y)
0.0b	(+.f64 x (.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))))
0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
2.7b	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
5.1b	(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))
29.2b	(cbrt.f64 (*.f64 y y))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_12376`
40×	`times-frac_binary64_12360`
33×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
28×	`cbrt-prod_binary64_12385`
24×	`associate-r_binary64_12294`
11×	`add-exp-log_binary64_12392`
7×	`add-cbrt-cube_binary64_12390`
6×	`associate-/l*_binary64_12299` `add-log-exp_binary64_12393` `pow1_binary64_12415` `unswap-sqr_binary64_12322`
4×	`associate-l_binary64_12295` `associate-/r/_binary64_12300`
3×	`flip--_binary64_12329` `associate-/r*_binary64_12298` `flip3--_binary64_12358`
2×	`cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `prod-exp_binary64_12403` `div-exp_binary64_12405`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `diff-log_binary64_12446` `frac-2neg_binary64_12365` `pow1/3_binary64_12436` `cancel-sign-sub-inv_binary64_12320` `associate-r/_binary64_12296` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

4 → 110

Calls

8 calls:

16.0ms	(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))
7.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
2.0ms	(cbrt.f64 (*.f64 y y))
0.0ms	(+.f64 x (.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))))

series754.0ms (15.3%)

Counts

4 → 55

Calls

4 calls:

345.0ms	(/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
208.0ms	(.f64 (cbrt.f64 (.f64 y y)) (/.f64 (cbrt.f64 y) (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))))
123.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
77.0ms	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 2094 to 1695 computations (19.1% saved)

simplify111.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4953	4143
1	4953	4143

prune175.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	165	4	169

Error

Counts

169 → 4

Compiler

Compiled 4289 to 1763 computations (58.9% saved)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	142	460
1	142	460

regimes258.0ms (5.2%)

Compiler: Compiled 1893 to 1564 computations (17.4% saved)

bsearch36.0ms (0.7%)

Steps

Iters	Range		Point
7	3677416999216.4077	470262124096873.25	3737532892318.573
10	-19817106.2146639	-3.996115098967217e-05	-215.97089423619695

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes75.0ms (1.5%)

Compiler: Compiled 33 to 81 computations (-145.5% saved)

bsearch12.0ms (0.2%)

Steps

Iters	Range		Point
6	-4.9803787981077295e-116	-7.798121914065776e-117	-2.866757434221824e-116

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.6%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.5%)

Accuracy

Total 0.4b remaining (99.2%)

Threshold costs 0.4b (99.2%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 36 to 37 computations (-2.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	50
1	51	50

end0.0ms (0%)

sample926.0ms (18.8%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 363 to 306 computations (15.7% saved)

Pareto

0.3167677837861914

Details

analyze225.0ms (4.6%)

sample19.0ms (0.4%)

simplify218.0ms (4.4%)

prune2.0ms (0%)

localize13.0ms (0.3%)

rewrite25.0ms (0.5%)

series558.0ms (11.3%)

simplify78.0ms (1.6%)

prune118.0ms (2.4%)

localize17.0ms (0.3%)

rewrite51.0ms (1%)

series785.0ms (15.9%)

simplify100.0ms (2%)

prune205.0ms (4.2%)

localize17.0ms (0.4%)

rewrite42.0ms (0.9%)

series754.0ms (15.3%)

simplify111.0ms (2.3%)

prune175.0ms (3.5%)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune0.0ms (0%)

simplify9.0ms (0.2%)

regimes258.0ms (5.2%)

bsearch36.0ms (0.7%)

regimes75.0ms (1.5%)

bsearch12.0ms (0.2%)

regimes29.0ms (0.6%)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

bsearch0.0ms (0%)

regimes25.0ms (0.5%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample926.0ms (18.8%)

Profiling