Details

analyze678.0ms (8.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4862	72
1	4862	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14
86.9%	13%	0.1%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample140.0ms (1.7%)

Algorithm

2×

intervals

Results

20.0ms

512×

body

128

valid

Compiler

Compiled 3366 to 3622 computations (-7.6% saved)

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5305	18

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

2.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

0.8b

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

5.8b

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

rewrite102.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

15×	`add-sqr-sqrt_binary64_11694`
13×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
9×	`times-frac_binary64_11678`
7×	`add-cbrt-cube_binary64_11708`
6×	`add-exp-log_binary64_11710`
5×	`pow1_binary64_11733` `add-log-exp_binary64_11711`
3×	`associate-/l_binary64_11617` `associate-/r_binary64_11616` `associate-l_binary64_11613` `associate-r_binary64_11612`
2×	`flip3--_binary64_11676` `associate-/r/_binary64_11618` `flip--_binary64_11647`
1×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `diff-log_binary64_11764` `sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603`

Counts

3 → 59

Calls

3 calls:

6.0ms

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

5.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

5.0ms

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

Compiler

Compiled 1250 to 604 computations (51.7% saved)

series569.0ms (7%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

322.0ms

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

183.0ms

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

25.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

Compiler

Compiled 1672 to 1204 computations (28% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4943	1777
1	4943	1777

prune105.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	4	102

Error

Counts

102 → 4

Compiler

Compiled 1813 to 894 computations (50.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 z) 5081767996463981/4503599627370496)
0.1b	(/.f64 1 (/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y))
0.8b	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
5.7b	(/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y)

rewrite226.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`times-frac_binary64_11678`
58×	`add-sqr-sqrt_binary64_11694`
56×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
18×	`add-exp-log_binary64_11710`
16×	`associate-/r*_binary64_11616`
13×	`add-cbrt-cube_binary64_11708`
8×	`div-exp_binary64_11723`
7×	`pow1_binary64_11733`
6×	`add-log-exp_binary64_11711` `div-inv_binary64_11669` `associate-/l*_binary64_11617`
4×	`cbrt-undiv_binary64_11706`
3×	`associate-l_binary64_11613` `associate-r_binary64_11612`
2×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `1-exp_binary64_11716` `rec-exp_binary64_11722`
1×	`div-sub_binary64_11677` `diff-log_binary64_11764` `sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638` `inv-pow_binary64_11757` `pow-flip_binary64_11746` `associate-/r/_binary64_11618` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603`

Counts

4 → 136

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y))
7.0ms	(/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y)
5.0ms	(*.f64 (exp.f64 z) 5081767996463981/4503599627370496)
5.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))

Compiler

Compiled 3517 to 1911 computations (45.7% saved)

series868.0ms (10.7%)

Error

Counts

4 → 60

Calls

4 calls:

318.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y))
288.0ms	(/.f64 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)) y)
175.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
32.0ms	(*.f64 (exp.f64 z) 5081767996463981/4503599627370496)

Compiler

Compiled 2356 to 1765 computations (25.1% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5049	4093

prune225.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	196	4	200

Error

Counts

200 → 4

Compiler

Compiled 3959 to 2084 computations (47.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x)
0.0b	(/.f64 (exp.f64 z) y)
0.1b	(/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x))
0.1b	(*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y))

rewrite158.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_11694`
29×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
28×	`times-frac_binary64_11678`
13×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `associate-r_binary64_11612`
7×	`pow1_binary64_11733`
6×	`add-log-exp_binary64_11711` `associate-/l_binary64_11617` `associate-/r_binary64_11616`
4×	`div-exp_binary64_11723`
3×	`cbrt-undiv_binary64_11706` `associate-l_binary64_11613` `div-inv_binary64_11669` `cancel-sign-sub-inv_binary64_11638`
2×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `associate-/r/_binary64_11618` `flip--_binary64_11647`
1×	`pow-prod-down_binary64_11743` `associate-r/_binary64_11614` `-commutative_binary64_11603` `inv-pow_binary64_11757` `pow-flip_binary64_11746` `1-exp_binary64_11716` `rec-exp_binary64_11722` `diff-log_binary64_11764` `sub-neg_binary64_11665`

Counts

4 → 106

Calls

4 calls:

8.0ms	(/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x))
8.0ms	(*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y))
7.0ms	(-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x)
4.0ms	(/.f64 (exp.f64 z) y)

Compiler

Compiled 2149 to 1111 computations (48.3% saved)

series791.0ms (9.8%)

Error

Counts

4 → 54

Calls

4 calls:

341.0ms	(/.f64 1 (-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x))
208.0ms	(-.f64 (*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y)) x)
115.0ms	(*.f64 5081767996463981/4503599627370496 (/.f64 (exp.f64 z) y))
74.0ms	(/.f64 (exp.f64 z) y)

Compiler

Compiled 2260 to 1772 computations (21.6% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4953	2552
1	4953	2552

prune360.0ms (4.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	160	4	164

Error

Counts

164 → 4

Compiler

Compiled 2822 to 1492 computations (47.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3)
0.8b	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
5.8b	(/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
28.4b	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3))

rewrite246.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`times-frac_binary64_11678`
42×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
36×	`cbrt-prod_binary64_11703`
30×	`unpow-prod-down_binary64_11751` `cube-prod_binary64_11700`
10×	`associate-/r/_binary64_11618`
9×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
6×	`add-log-exp_binary64_11711` `flip3--_binary64_11676` `flip--_binary64_11647`
5×	`pow1_binary64_11733` `div-inv_binary64_11669`
3×	`associate-/l_binary64_11617` `associate-/r_binary64_11616` `pow-unpow_binary64_11749`
2×	`cube-div_binary64_11701` `unpow3_binary64_11738` `cube-mult_binary64_11702` `sqr-pow_binary64_11644` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `pow-exp_binary64_11740` `rem-cube-cbrt_binary64_11695`
1×	`pow1/3_binary64_11754` `cbrt-div_binary64_11704` `rem-cbrt-cube_binary64_11696` `frac-2neg_binary64_11683` `clear-num_binary64_11671` `diff-log_binary64_11764` `sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638` `pow-pow_binary64_11744` `pow-to-exp_binary64_11741`

Counts

4 → 137

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3))
8.0ms	(pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3)
7.0ms	(/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
5.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))

Compiler

Compiled 3978 to 2178 computations (45.2% saved)

series1.3s (16.3%)

Error

Counts

4 → 64

Calls

4 calls:

535.0ms	(pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3)
298.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))) 3))
234.0ms	(/.f64 y (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
183.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))

Compiler

Compiled 3374 to 2563 computations (24% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4955	5096
1	4955	5096

prune254.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	201	4	205

Error

Counts

205 → 4

Compiler

Compiled 4527 to 2479 computations (45.2% saved)

regimes371.0ms (4.6%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 3866 to 2859 computations (26% saved)

bsearch31.0ms (0.4%)

Steps

Iters	Range		Point
0	1.1283791670955126	1.1288969254307555	1.128638046263134
14	0.0	1.1279556857968724	5.693106346194812e-308

Compiler

Compiled 4 to 6 computations (-50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	59
1	53	59

end0.0ms (0%)

sample1.1s (13.9%)

Algorithm

1×

intervals

Results

323.0ms

8000×

body

128

valid

Compiler

Compiled 624 to 464 computations (25.6% saved)

Details

analyze678.0ms (8.4%)

sample140.0ms (1.7%)

simplify126.0ms (1.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite102.0ms (1.3%)

series569.0ms (7%)

simplify80.0ms (1%)

prune105.0ms (1.3%)

localize10.0ms (0.1%)

rewrite226.0ms (2.8%)

series868.0ms (10.7%)

simplify90.0ms (1.1%)

prune225.0ms (2.8%)

localize9.0ms (0.1%)

rewrite158.0ms (1.9%)

series791.0ms (9.8%)

simplify90.0ms (1.1%)

prune360.0ms (4.4%)

localize11.0ms (0.1%)

rewrite246.0ms (3%)

series1.3s (16.3%)

simplify100.0ms (1.2%)

prune254.0ms (3.1%)

regimes371.0ms (4.6%)

bsearch31.0ms (0.4%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.1s (13.9%)

Profiling