Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	71×	body	1024	valid
4.0ms	139×	body	128	valid
3.0ms	29×	body	512	valid
1.0ms	5×	body	2048	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify173.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune2.0ms (0.1%)

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

28.0b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.9b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_2465`
24×	`add-sqr-sqrt_binary64_2487`
15×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
7×	`add-log-exp_binary64_2504`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416`
4×	`difference-of-squares_binary64_2434` `associate-/r*_binary64_2409`
3×	`cancel-sign-sub-inv_binary64_2431` `pow1_binary64_2526` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `difference-of-sqr-1_binary64_2435` `flip-+_binary64_2439` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `flip--_binary64_2440` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `distribute-lft-out--_binary64_2417` `sub-neg_binary64_2458` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `frac-2neg_binary64_2476` `flip3--_binary64_2469`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series122.0ms (2.9%)

Counts

3 → 18

Calls

3 calls:

62.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
43.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
16.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 254 to 268 computations (-5.5% saved)

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4896	1469
1	4896	1469

prune95.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Error

0.0b

Counts

85 → 2

Compiler

Compiled 1357 to 1223 computations (9.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.9b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite72.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64_2465`
42×	`times-frac_binary64_2471`
37×	`add-sqr-sqrt_binary64_2487`
25×	`add-cube-cbrt_binary64_2500`
18×	`distribute-lft-out_binary64_2416`
12×	`difference-of-sqr--1_binary64_2436`
9×	`associate-/l*_binary64_2410`
8×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`pow1_binary64_2526` `associate-/r/_binary64_2411`
2×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `associate-/l/_binary64_2412` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

4 → 109

Calls

4 calls:

26.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
15.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
12.0ms	(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series373.0ms (8.9%)

Counts

4 → 24

Calls

4 calls:

189.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
83.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
53.0ms	(+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
48.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Compiler

Compiled 774 to 746 computations (3.6% saved)

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5205	4601

prune322.0ms (7.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	133	2	135

Error

Counts

135 → 2

Compiler

Compiled 4935 to 4430 computations (10.2% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
0.9b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
0.9b	(+.f64 -2 (/.f64 4 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64_2465`
37×	`times-frac_binary64_2471`
32×	`add-sqr-sqrt_binary64_2487`
30×	`add-cube-cbrt_binary64_2500`
18×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
12×	`distribute-lft-out_binary64_2416`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504`
6×	`associate-/r/_binary64_2411`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526`
4×	`associate-/r*_binary64_2409`
3×	`div-inv_binary64_2462` `pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`rem-cube-cbrt_binary64_2488` `+-commutative_binary64_2395` `sum-log_binary64_2556` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `difference-of-sqr--1_binary64_2436` `div-exp_binary64_2516`
1×	`unpow3_binary64_2531` `clear-num_binary64_2464` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `cube-div_binary64_2494`

Counts

4 → 115

Calls

4 calls:

15.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
10.0ms	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
10.0ms	(+.f64 -2 (/.f64 4 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series299.0ms (7.1%)

Counts

4 → 24

Calls

4 calls:

91.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
81.0ms	(pow.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)
75.0ms	(+.f64 -2 (/.f64 4 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
52.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Compiler

Compiled 1568 to 1464 computations (6.6% saved)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5090	2758

prune599.0ms (14.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	139	2	141

Error

Counts

141 → 2

Compiler

Compiled 7694 to 6926 computations (10% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes398.0ms (9.5%)

Accuracy

Total 0.3b remaining (83.8%)

Threshold costs 0.3b (83.8%)

Compiler

Compiled 3286 to 3285 computations (0% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	135
1	50	135

end0.0ms (0%)

sample1.3s (31.6%)

Algorithm

1×

intervals

Results

389.0ms	2057×	body	1024	valid
140.0ms	4302×	body	128	valid
109.0ms	947×	body	512	valid
43.0ms	199×	body	2048	valid
38.0ms	495×	body	256	valid

Compiler

Compiled 422 to 414 computations (1.9% saved)

Details

analyze2.0ms (0%)

sample30.0ms (0.7%)

simplify173.0ms (4.1%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series122.0ms (2.9%)

simplify64.0ms (1.5%)

prune95.0ms (2.3%)

localize12.0ms (0.3%)

rewrite72.0ms (1.7%)

series373.0ms (8.9%)

simplify100.0ms (2.4%)

prune322.0ms (7.7%)

localize18.0ms (0.4%)

rewrite58.0ms (1.4%)

series299.0ms (7.1%)

simplify78.0ms (1.9%)

prune599.0ms (14.3%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

regimes398.0ms (9.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (31.6%)

Profiling