Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify164.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite55.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_2099`
41×	`times-frac_binary64_2105`
40×	`add-sqr-sqrt_binary64_2120`
24×	`add-cube-cbrt_binary64_2131`
12×	`distribute-lft-out_binary64_2052`
11×	`associate-/r*_binary64_2045`
9×	`add-exp-log_binary64_2134`
8×	`difference-of-squares_binary64_2068`
7×	`add-cbrt-cube_binary64_2132`
6×	`associate-/l*_binary64_2046` `distribute-lft-out--_binary64_2053`
5×	`add-log-exp_binary64_2135`
4×	`pow1_binary64_2157` `associate-/r/_binary64_2047` `difference-of-sqr-1_binary64_2069`
3×	`div-exp_binary64_2147` `div-inv_binary64_2096`
2×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `frac-2neg_binary64_2110` `clear-num_binary64_2098` `flip-+_binary64_2073`
1×	`pow-flip_binary64_2170` `1-exp_binary64_2140` `inv-pow_binary64_2181` `rec-exp_binary64_2146` `sum-log_binary64_2187` `+-commutative_binary64_2031` `flip3--_binary64_2103` `flip--_binary64_2074` `frac-add_binary64_2107`

Counts

3 → 100

Calls

3 calls:

32.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series109.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
27.0ms	(/.f64 x (+.f64 x 1))
17.0ms	(/.f64 1 (-.f64 x 1))

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5076	1579

prune99.0ms (4.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Merged error: 0b

Counts

110 → 2

Compiler

Compiled 1880 to 1382 computations (26.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
0.0b	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

rewrite125.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`*-un-lft-identity_binary64_2099`
52×	`times-frac_binary64_2105`
44×	`distribute-lft-out_binary64_2052`
24×	`cbrt-prod_binary64_2127`
19×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
18×	`unpow-prod-down_binary64_2175` `cube-prod_binary64_2124`
10×	`distribute-lft-out--_binary64_2053`
7×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
6×	`cube-div_binary64_2125` `add-log-exp_binary64_2135` `div-inv_binary64_2096`
5×	`pow1_binary64_2157`
4×	`flip3-+_binary64_2102` `associate-/r*_binary64_2045` `flip-+_binary64_2073`
3×	`cbrt-div_binary64_2128` `pow-unpow_binary64_2173` `associate-/l*_binary64_2046` `frac-add_binary64_2107`
2×	`sqr-pow_binary64_2071` `unpow3_binary64_2162` `associate-/r/_binary64_2047` `cube-mult_binary64_2126`
1×	`cbrt-undiv_binary64_2130` `pow1/3_binary64_2178` `pow-exp_binary64_2164` `pow-pow_binary64_2168` `div-exp_binary64_2147` `rem-cube-cbrt_binary64_2121` `pow-to-exp_binary64_2165` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `clear-num_binary64_2098` `rem-cbrt-cube_binary64_2122`

Counts

4 → 125

Calls

4 calls:

37.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
34.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
34.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
6.0ms	(/.f64 x (+.f64 1 x))

series231.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
69.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
59.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
23.0ms	(/.f64 x (+.f64 1 x))

simplify87.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2810
1	4956	2810

prune148.0ms (7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0b

Counts

139 → 2

Compiler

Compiled 2721 to 2110 computations (22.5% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite117.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_2099`
36×	`times-frac_binary64_2105`
28×	`distribute-lft-out_binary64_2052`
18×	`exp-prod_binary64_2148`
16×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
10×	`log-pow_binary64_2185`
9×	`add-log-exp_binary64_2135`
6×	`add-cbrt-cube_binary64_2132` `distribute-lft-out--_binary64_2053` `add-exp-log_binary64_2134`
5×	`pow1_binary64_2157`
4×	`log-prod_binary64_2182` `associate-/r*_binary64_2045` `div-inv_binary64_2096`
3×	`associate-/l*_binary64_2046`
2×	`rem-exp-log_binary64_2136` `flip3-+_binary64_2102` `sum-log_binary64_2187` `associate-/r/_binary64_2047` `exp-sum_binary64_2142` `flip-+_binary64_2073`
1×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `rem-log-exp_binary64_2137` `clear-num_binary64_2098` `frac-add_binary64_2107`

Counts

4 → 92

Calls

4 calls:

37.0ms	(log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
34.0ms	(exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))
32.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
5.0ms	(/.f64 x (+.f64 1 x))

series269.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
84.0ms	(exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))))
60.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
26.0ms	(/.f64 x (+.f64 1 x))

simplify83.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4882	1630
1	4882	1630

prune103.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

106 → 2

Compiler

Compiled 1918 to 1450 computations (24.4% saved)

regimes8.0ms (0.4%)

Compiler: Compiled 29 to 25 computations (13.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms (0%)

sample414.0ms (19.5%)

Algorithm

1×

intervals

Results

239.0ms

8000×

body

128

valid

Compiler

Compiled 53 to 46 computations (13.2% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.6%)

simplify164.0ms (7.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite55.0ms (2.6%)

series109.0ms (5.2%)

simplify64.0ms (3%)

prune99.0ms (4.7%)

localize9.0ms (0.4%)

rewrite125.0ms (5.9%)

series231.0ms (10.9%)

simplify87.0ms (4.1%)

prune148.0ms (7%)

localize10.0ms (0.5%)

rewrite117.0ms (5.5%)

series269.0ms (12.7%)

simplify83.0ms (3.9%)

prune103.0ms (4.8%)

regimes8.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample414.0ms (19.5%)

Profiling