Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample84.0ms (1.7%)

Algorithm

1×

intervals

Results

51.0ms	135×	body	1024	valid
13.0ms	59×	body	512	valid
6.0ms	11×	body	2048	valid
5.0ms	40×	body	256	valid
1.0ms	11×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify326.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

59.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.7b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.7b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_2465`
52×	`add-sqr-sqrt_binary64_2487`
48×	`times-frac_binary64_2471`
30×	`log-prod_binary64_2551`
25×	`add-cube-cbrt_binary64_2500`
18×	`difference-of-squares_binary64_2434`
13×	`distribute-lft-out_binary64_2416`
9×	`distribute-lft-out--_binary64_2417`
7×	`add-exp-log_binary64_2503`
6×	`associate-/r*_binary64_2409`
4×	`add-cbrt-cube_binary64_2501` `associate-/r/_binary64_2411` `associate-/l*_binary64_2410`
3×	`pow1_binary64_2526`
2×	`add-log-exp_binary64_2504` `flip--_binary64_2440` `associate-/l/_binary64_2412` `div-exp_binary64_2516` `div-inv_binary64_2462` `flip3--_binary64_2469` `rem-log-exp_binary64_2506`
1×	`flip3-+_binary64_2468` `log-div_binary64_2552` `log-pow_binary64_2554` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476`

Counts

2 → 91

Calls

4 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series62.0ms (1.3%)

Counts

2 → 14

Calls

2 calls:

38.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
24.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 198 to 192 computations (3% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5617	1927

prune160.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 1778 to 1412 computations (20.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_2487`
15×	`associate-l_binary64_2406`
12×	`add-exp-log_binary64_2503`
10×	`associate-r_binary64_2405`
9×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
8×	`unpow-prod-down_binary64_2544`
7×	`unswap-sqr_binary64_2433`
6×	`add-cbrt-cube_binary64_2501` `prod-exp_binary64_2514`
4×	`cube-prod_binary64_2493` `sqr-pow_binary64_2437`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow1_binary64_2526` `cbrt-unprod_binary64_2498`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495`

Counts

2 → 56

Calls

4 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
0.0ms	(*.f64 2/5 (pow.f64 x 5))
0.0ms	(*.f64 (pow.f64 x 3) 2/3)

series68.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(*.f64 2/5 (pow.f64 x 5))
32.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 204 to 168 computations (17.6% saved)

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4968	592
1	4968	592

prune75.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1342 to 970 computations (27.7% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite58.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`*-un-lft-identity_binary64_2465`
106×	`add-sqr-sqrt_binary64_2487`
96×	`times-frac_binary64_2471`
66×	`log-prod_binary64_2551`
60×	`sqrt-prod_binary64_2481`
52×	`add-cube-cbrt_binary64_2500`
36×	`difference-of-squares_binary64_2434`
26×	`distribute-lft-out_binary64_2416`
18×	`distribute-lft-out--_binary64_2417`
12×	`associate-/r*_binary64_2409`
10×	`add-exp-log_binary64_2503`
8×	`add-cbrt-cube_binary64_2501` `pow1_binary64_2526` `associate-/r/_binary64_2411` `associate-/l*_binary64_2410`
6×	`log-pow_binary64_2554`
4×	`add-log-exp_binary64_2504` `flip--_binary64_2440` `associate-/l/_binary64_2412` `div-inv_binary64_2462` `flip3--_binary64_2469`
2×	`flip3-+_binary64_2468` `log-div_binary64_2552` `pow1/2_binary64_2545` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `frac-2neg_binary64_2476` `sqrt-div_binary64_2482` `sqrt-pow1_binary64_2483` `rem-log-exp_binary64_2506`

Counts

4 → 190

Calls

8 calls:

10.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
10.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series153.0ms (3.2%)

Counts

4 → 28

Calls

4 calls:

54.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
44.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
29.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
26.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 780 to 696 computations (10.8% saved)

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5401	4364

prune360.0ms (7.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	218	2	220

Error

Counts

220 → 2

Compiler

Compiled 6090 to 4908 computations (19.4% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	211	542
1	211	542

regimes111.0ms (2.3%)

Compiler: Compiled 1170 to 1005 computations (14.1% saved)

bsearch0.0ms (0%)

regimes50.0ms (1%)

Compiler: Compiled 259 to 240 computations (7.3% saved)

bsearch0.0ms (0%)

regimes40.0ms (0.8%)

Compiler: Compiled 142 to 141 computations (0.7% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.1%)

Accuracy

Total 0.2b remaining (96%)

Threshold costs 0.2b (96%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 37 to 31 computations (16.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	53
1	33	53

end0.0ms (0%)

sample3.0s (61.5%)

Algorithm

1×

intervals

Results

1.5s	4032×	body	1024	valid
444.0ms	1978×	body	512	valid
210.0ms	379×	body	2048	valid
135.0ms	1008×	body	256	valid
37.0ms	603×	body	128	valid

Compiler

Compiled 394 to 337 computations (14.5% saved)

Pareto

0.9574684357251393

Details

analyze5.0ms (0.1%)

sample84.0ms (1.7%)

simplify326.0ms (6.7%)

prune8.0ms (0.2%)

localize7.0ms (0.1%)

rewrite24.0ms (0.5%)

series62.0ms (1.3%)

simplify78.0ms (1.6%)

prune160.0ms (3.3%)

localize13.0ms (0.3%)

rewrite16.0ms (0.3%)

series68.0ms (1.4%)

simplify47.0ms (1%)

prune75.0ms (1.5%)

localize9.0ms (0.2%)

rewrite58.0ms (1.2%)

series153.0ms (3.2%)

simplify91.0ms (1.9%)

prune360.0ms (7.4%)

simplify9.0ms (0.2%)

regimes111.0ms (2.3%)

bsearch0.0ms (0%)

regimes50.0ms (1%)

bsearch0.0ms (0%)

regimes40.0ms (0.8%)

bsearch0.0ms (0%)

regimes7.0ms (0.1%)

bsearch3.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample3.0s (61.5%)

Profiling