Details

analyze65.0ms (2.1%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	239×	body	128	valid
3.0ms	6×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	6×	body	256	valid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify169.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	96	14
1	96	14

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_2099`
4×	`log-prod_binary64_2182` `add-log-exp_binary64_2135`
3×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `pow1_binary64_2157` `add-exp-log_binary64_2134`
2×	`distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `log-div_binary64_2183` `add-cbrt-cube_binary64_2132` `flip-+_binary64_2073`
1×	`log-pow_binary64_2185` `sum-log_binary64_2187` `+-commutative_binary64_2031` `rem-log-exp_binary64_2137`

Counts

2 → 27

Calls

2 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series80.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
10.0ms	(+.f64 1 (exp.f64 x))

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5029	373

prune32.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Merged error: 0.2b

Counts

34 → 4

Compiler

Compiled 507 to 305 computations (39.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
0.7b	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2099`
14×	`cbrt-prod_binary64_2127`
11×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
10×	`pow1_binary64_2157`
8×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
6×	`add-log-exp_binary64_2135` `add-exp-log_binary64_2134`
5×	`log-pow_binary64_2185` `add-cbrt-cube_binary64_2132`
4×	`log-prod_binary64_2182`
3×	`pow-unpow_binary64_2173`
2×	`sqr-pow_binary64_2071` `distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `log-div_binary64_2183` `unpow3_binary64_2162` `cube-mult_binary64_2126` `flip-+_binary64_2073`
1×	`pow1/3_binary64_2178` `pow-exp_binary64_2164` `pow-pow_binary64_2168` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `sum-log_binary64_2187` `+-commutative_binary64_2031` `rem-log-exp_binary64_2137` `rem-cbrt-cube_binary64_2122`

Counts

4 → 75

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))

series298.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
76.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
75.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(+.f64 1 (exp.f64 x))

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4882	1105
1	4882	1105

prune84.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Merged error: 0.2b

Counts

91 → 3

Compiler

Compiled 1430 to 920 computations (35.7% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.0b	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_2182`
16×	`exp-sum_binary64_2142`
13×	`*-un-lft-identity_binary64_2099`
11×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `pow1_binary64_2157` `cbrt-prod_binary64_2127`
8×	`distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050`
7×	`log-pow_binary64_2185`
6×	`add-log-exp_binary64_2135` `add-exp-log_binary64_2134`
4×	`add-cbrt-cube_binary64_2132`
2×	`log-div_binary64_2183` `rem-log-exp_binary64_2137`
1×	`rem-exp-log_binary64_2136` `distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `pow1/3_binary64_2178` `exp-to-pow_binary64_2158` `exp-prod_binary64_2148` `flip-+_binary64_2073`

Counts

4 → 65

Calls

4 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))
3.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
1.0ms	(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))

series457.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(log.f64 (log.f64 (+.f64 1 (exp.f64 x))))
124.0ms	(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x))))))
85.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
79.0ms	(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1 (exp.f64 x)))))))

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4900	1036
1	4900	1036

prune77.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Merged error: 0.2b

Counts

80 → 3

Compiler

Compiled 1345 to 904 computations (32.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod_binary64_2114`
30×	`pow1_binary64_2157`
29×	`add-sqr-sqrt_binary64_2120`
19×	`*-un-lft-identity_binary64_2099`
15×	`add-cube-cbrt_binary64_2131`
11×	`swap-sqr_binary64_2066`
10×	`pow1/2_binary64_2176` `sqrt-pow1_binary64_2116`
9×	`log-pow_binary64_2185`
7×	`associate-l_binary64_2042` `associate-r_binary64_2041` `add-exp-log_binary64_2134`
6×	`add-cbrt-cube_binary64_2132`
5×	`pow-prod-up_binary64_2166`
4×	`log-prod_binary64_2182` `add-log-exp_binary64_2135` `unswap-sqr_binary64_2067`
3×	`pow-prod-down_binary64_2167` `pow-sqr_binary64_2072`
2×	`log-div_binary64_2183` `rem-sqrt-square_binary64_2112`
1×	`sqrt-unprod_binary64_2118` `rem-square-sqrt_binary64_2111` `distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `rem-log-exp_binary64_2137` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129`

Counts

4 → 97

Calls

4 calls:

8.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))

series370.0ms (12%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
105.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
78.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
76.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	1304
1	4963	1304

prune104.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0.2b

Counts

112 → 3

Compiler

Compiled 1991 to 1254 computations (37% saved)

regimes25.0ms (0.8%)

Compiler: Compiled 122 to 112 computations (8.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	23
1	43	23

end0.0ms (0%)

sample860.0ms (27.9%)

Algorithm

1×

intervals

Results

366.0ms	7328×	body	128	valid
96.0ms	228×	body	1024	valid
66.0ms	288×	body	512	valid
20.0ms	156×	body	256	valid
3.0ms	45×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 109 to 96 computations (11.9% saved)

Details

analyze65.0ms (2.1%)

sample24.0ms (0.8%)

simplify169.0ms (5.5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite9.0ms (0.3%)

series80.0ms (2.6%)

simplify67.0ms (2.2%)

prune32.0ms (1%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series298.0ms (9.7%)

simplify86.0ms (2.8%)

prune84.0ms (2.7%)

localize15.0ms (0.5%)

rewrite17.0ms (0.6%)

series457.0ms (14.9%)

simplify90.0ms (2.9%)

prune77.0ms (2.5%)

localize9.0ms (0.3%)

rewrite26.0ms (0.8%)

series370.0ms (12%)

simplify71.0ms (2.3%)

prune104.0ms (3.4%)

regimes25.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample860.0ms (27.9%)

Profiling