Details

analyze79.0ms (3.1%)

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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	26×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify161.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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: 0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2143`
12×	`times-frac_binary64_2149`
11×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178`
5×	`distribute-lft-out_binary64_2094`
4×	`add-log-exp_binary64_2182` `associate-/r*_binary64_2087` `add-cbrt-cube_binary64_2179`
3×	`associate-/l*_binary64_2088` `add-exp-log_binary64_2181`
2×	`pow1_binary64_2204` `associate-/r/_binary64_2089` `flip3-+_binary64_2146` `flip-+_binary64_2117`
1×	`cbrt-undiv_binary64_2177` `+-commutative_binary64_2073` `clear-num_binary64_2142` `div-inv_binary64_2140` `sum-log_binary64_2234` `div-exp_binary64_2194` `frac-2neg_binary64_2154`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series119.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
33.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5503	899

prune47.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0.5b

Counts

52 → 3

Compiler

Compiled 960 to 298 computations (69% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.0b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.4b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2143`
13×	`add-sqr-sqrt_binary64_2165`
9×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `add-cube-cbrt_binary64_2178`
8×	`log-prod_binary64_2229` `cancel-sign-sub-inv_binary64_2109`
7×	`exp-sum_binary64_2189`
6×	`exp-prod_binary64_2195` `log-div_binary64_2230`
5×	`add-exp-log_binary64_2181` `log-pow_binary64_2232`
4×	`associate--r-_binary64_2082` `distribute-lft-out--_binary64_2095` `associate--r+_binary64_2079` `flip3-+_binary64_2146` `flip-+_binary64_2117` `add-cbrt-cube_binary64_2179`
3×	`distribute-lft-out_binary64_2094`
2×	`diff-log_binary64_2235` `sub-neg_binary64_2136` `rem-exp-log_binary64_2183` `difference-of-squares_binary64_2112`
1×	`+-commutative_binary64_2073` `flip--_binary64_2118` `rem-log-exp_binary64_2184` `sum-log_binary64_2234` `flip3--_binary64_2147` `exp-diff_binary64_2191`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series257.0ms (10%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
72.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
63.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
35.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5765	1300

prune58.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0.5b

Counts

89 → 3

Compiler

Compiled 1226 to 340 computations (72.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
0.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite54.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_2143`
60×	`times-frac_binary64_2149`
47×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178`
42×	`cbrt-prod_binary64_2174`
36×	`unpow-prod-down_binary64_2222` `cube-prod_binary64_2171`
17×	`distribute-lft-out_binary64_2094`
10×	`associate-/r/_binary64_2089`
9×	`add-cbrt-cube_binary64_2179`
7×	`add-exp-log_binary64_2181`
6×	`add-log-exp_binary64_2182` `flip3-+_binary64_2146` `flip-+_binary64_2117`
5×	`pow1_binary64_2204` `div-inv_binary64_2140`
4×	`associate-/r*_binary64_2087`
3×	`pow-unpow_binary64_2220` `associate-/l*_binary64_2088`
2×	`cbrt-undiv_binary64_2177` `cube-mult_binary64_2173` `unpow3_binary64_2209` `sqr-pow_binary64_2115` `rem-cube-cbrt_binary64_2166` `div-exp_binary64_2194` `pow-exp_binary64_2211` `cube-div_binary64_2172`
1×	`+-commutative_binary64_2073` `clear-num_binary64_2142` `rem-cbrt-cube_binary64_2167` `pow-to-exp_binary64_2212` `sum-log_binary64_2234` `pow-pow_binary64_2215` `cbrt-div_binary64_2175` `frac-2neg_binary64_2154` `pow1/3_binary64_2225`

Counts

4 → 153

Calls

4 calls:

11.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series397.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
93.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
83.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
33.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify88.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5103	3537

prune131.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Merged error: 0.4b

Counts

168 → 3

Compiler

Compiled 2914 to 1000 computations (65.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/8 (*.f64 3/16 (-.f64 a b)))
0.0b	(*.f64 3/16 (-.f64 a b))
0.7b	(cbrt.f64 (+.f64 1/8 (*.f64 3/16 (-.f64 a b))))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2165`
12×	`cancel-sign-sub-inv_binary64_2109` `*-un-lft-identity_binary64_2143`
10×	`add-cube-cbrt_binary64_2178`
8×	`distribute-rgt-in_binary64_2093` `associate-+r+_binary64_2075` `distribute-lft-in_binary64_2092`
5×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `associate-r_binary64_2083` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
4×	`sub-neg_binary64_2136`
3×	`cbrt-prod_binary64_2174` `associate-l_binary64_2084`
2×	`associate-*r/_binary64_2085` `flip3-+_binary64_2146` `flip-+_binary64_2117` `cbrt-div_binary64_2175`
1×	`+-commutative_binary64_2073` `flip--_binary64_2118` `distribute-lft-out--_binary64_2095` `cbrt-unprod_binary64_2176` `sum-log_binary64_2234` `flip3--_binary64_2147` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `difference-of-squares_binary64_2112` `pow1/3_binary64_2225`

Counts

3 → 62

Calls

3 calls:

8.0ms	(*.f64 3/16 (-.f64 a b))
5.0ms	(+.f64 1/8 (*.f64 3/16 (-.f64 a b)))
3.0ms	(cbrt.f64 (+.f64 1/8 (*.f64 3/16 (-.f64 a b))))

series222.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(cbrt.f64 (+.f64 1/8 (*.f64 3/16 (-.f64 a b))))
40.0ms	(*.f64 3/16 (-.f64 a b))
26.0ms	(+.f64 1/8 (*.f64 3/16 (-.f64 a b)))

simplify73.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4828	871
1	4828	871

prune64.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	70	4	74

Merged error: 0.4b

Counts

74 → 4

Compiler

Compiled 1018 to 709 computations (30.4% saved)

regimes49.0ms (1.9%)

Compiler: Compiled 258 to 237 computations (8.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample539.0ms (20.9%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
18.0ms	684×	body	128	overflowed

Compiler

Compiled 72 to 66 computations (8.3% saved)

Details

analyze79.0ms (3.1%)

sample15.0ms (0.6%)

simplify161.0ms (6.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series119.0ms (4.6%)

simplify64.0ms (2.5%)

prune47.0ms (1.8%)

localize11.0ms (0.4%)

rewrite29.0ms (1.1%)

series257.0ms (10%)

simplify62.0ms (2.4%)

prune58.0ms (2.2%)

localize8.0ms (0.3%)

rewrite54.0ms (2.1%)

series397.0ms (15.4%)

simplify88.0ms (3.4%)

prune131.0ms (5.1%)

localize6.0ms (0.2%)

rewrite19.0ms (0.8%)

series222.0ms (8.6%)

simplify73.0ms (2.8%)

prune64.0ms (2.5%)

regimes49.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample539.0ms (20.9%)

Profiling