Details

analyze161.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample90.0ms (1.7%)

Algorithm

1×

intervals

Results

55.0ms	90×	body	1024	valid
12.0ms	44×	body	512	valid
5.0ms	98×	body	128	valid
5.0ms	6×	body	2048	valid
3.0ms	18×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune4.0ms (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

38.7b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.4b	(log.f64 (+.f64 1 x))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `log-div_binary64_2211` `add-exp-log_binary64_2162`
1×	`rem-log-exp_binary64_2165` `log-pow_binary64_2213` `distribute-lft-out_binary64_2075` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log.f64 (+.f64 1 x))

series60.0ms (1.1%)

Counts

1 → 8

Calls

1 calls:

60.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 112 to 99 computations (11.6% saved)

simplify143.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4905	240
1	4905	240

prune48.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Error

0.0b

Counts

24 → 4

Compiler

Compiled 216 to 159 computations (26.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1/2 (*.f64 x 1/3))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2146`
10×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
9×	`associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`add-log-exp_binary64_2163`
4×	`associate-*r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
2×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 73

Calls

4 calls:

11.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
10.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
10.0ms	(+.f64 -1/2 (*.f64 x 1/3))
8.0ms	(*.f64 x 1/3)

series237.0ms (4.5%)

Counts

4 → 20

Calls

4 calls:

85.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
61.0ms	(+.f64 -1/2 (*.f64 x 1/3))
58.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
32.0ms	(*.f64 x 1/3)

Compiler

Compiled 326 to 275 computations (15.6% saved)

simplify158.0ms (3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5111	1070

prune144.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

0.0b

Counts

97 → 4

Compiler

Compiled 1419 to 1057 computations (25.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 x x) 1/2))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2163`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `pow1_binary64_2185` `diff-log_binary64_2216` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `sub-neg_binary64_2117` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`

Counts

1 → 12

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 (*.f64 x x) 1/2))

series84.0ms (1.6%)

Counts

1 → 6

Calls

1 calls:

84.0ms

(-.f64 x (*.f64 (*.f64 x x) 1/2))

Compiler

Compiled 53 to 47 computations (11.3% saved)

simplify131.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4896	225
1	4896	225

prune23.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	18	4	22

Error

0.0b

Counts

22 → 4

Compiler

Compiled 195 to 117 computations (40% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
2.3b	(log.f64 (-.f64 1 (*.f64 x x)))
3.4b	(log.f64 (-.f64 1 x))

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
20×	`add-sqr-sqrt_binary64_2146`
11×	`difference-of-squares_binary64_2093` `pow1_binary64_2185`
9×	`add-cube-cbrt_binary64_2159`
8×	`log-div_binary64_2211`
7×	`log-pow_binary64_2213`
6×	`flip--_binary64_2099` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162`
5×	`cancel-sign-sub-inv_binary64_2090` `associate--l+_binary64_2061`
4×	`add-cbrt-cube_binary64_2160`
2×	`rem-log-exp_binary64_2165` `associate--l-_binary64_2062` `diff-log_binary64_2216` `associate--r-_binary64_2063` `sub-neg_binary64_2117`

Counts

4 → 82

Calls

4 calls:

19.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
6.0ms	(log.f64 (-.f64 1 x))
6.0ms	(-.f64 1 (*.f64 x x))
5.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series277.0ms (5.3%)

Counts

4 → 27

Calls

4 calls:

93.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
70.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
61.0ms	(-.f64 1 (*.f64 x x))
52.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 506 to 441 computations (12.8% saved)

simplify175.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5281	1508

prune172.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 1671 to 1129 computations (32.4% saved)

regimes182.0ms (3.5%)

Accuracy

Total 0.2b remaining (80.5%)

Threshold costs 0.2b (80.5%)

Compiler

Compiled 467 to 409 computations (12.4% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample3.0s (56.8%)

Algorithm

1×

intervals

Results

1.5s	2654×	body	1024	valid
373.0ms	1347×	body	512	valid
194.0ms	248×	body	2048	valid
160.0ms	3070×	body	128	valid
96.0ms	681×	body	256	valid

Compiler

Compiled 168 to 143 computations (14.9% saved)

Details

analyze161.0ms (3.1%)

sample90.0ms (1.7%)

simplify14.0ms (0.3%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite9.0ms (0.2%)

series60.0ms (1.1%)

simplify143.0ms (2.7%)

prune48.0ms (0.9%)

localize15.0ms (0.3%)

rewrite46.0ms (0.9%)

series237.0ms (4.5%)

simplify158.0ms (3%)

prune144.0ms (2.8%)

localize8.0ms (0.2%)

rewrite7.0ms (0.1%)

series84.0ms (1.6%)

simplify131.0ms (2.5%)

prune23.0ms (0.4%)

localize15.0ms (0.3%)

rewrite46.0ms (0.9%)

series277.0ms (5.3%)

simplify175.0ms (3.3%)

prune172.0ms (3.3%)

regimes182.0ms (3.5%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.0s (56.8%)

Profiling