Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	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 11 computations (8.3% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	57×	body	512	valid
4.0ms	150×	body	128	valid
2.0ms	44×	body	256	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify170.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	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: 15.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
4.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite63.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_2143`
95×	`add-sqr-sqrt_binary64_2165`
90×	`times-frac_binary64_2149`
43×	`add-cube-cbrt_binary64_2178`
30×	`distribute-lft-out--_binary64_2095`
27×	`cancel-sign-sub-inv_binary64_2109`
23×	`difference-of-squares_binary64_2112`
11×	`associate-/r*_binary64_2087` `add-exp-log_binary64_2181`
10×	`distribute-lft-out_binary64_2094`
8×	`associate-/r/_binary64_2089`
7×	`div-inv_binary64_2140` `difference-of-sqr-1_binary64_2113` `add-cbrt-cube_binary64_2179`
6×	`associate-/l*_binary64_2088`
5×	`pow1_binary64_2204` `add-log-exp_binary64_2182`
4×	`flip--_binary64_2118` `div-exp_binary64_2194`
3×	`flip3--_binary64_2147`
2×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `1-exp_binary64_2187` `rec-exp_binary64_2193` `pow-flip_binary64_2217` `flip-+_binary64_2117` `inv-pow_binary64_2228` `frac-2neg_binary64_2154`
1×	`diff-log_binary64_2235` `sub-neg_binary64_2136` `flip3-+_binary64_2146` `frac-sub_binary64_2152`

Counts

3 → 151

Calls

3 calls:

36.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
7.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))

series112.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
18.0ms	(/.f64 1 (-.f64 x 1))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify82.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5421	2407

prune172.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	2	161

Merged error: 0.2b

Counts

161 → 2

Compiler

Compiled 2823 to 2315 computations (18% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `times-frac_binary64_2149` `*-un-lft-identity_binary64_2143`
3×	`associate-/r_binary64_2087` `associate-/l_binary64_2088` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
2×	`associate-/r/_binary64_2089`
1×	`pow1_binary64_2204` `cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `add-log-exp_binary64_2182` `div-inv_binary64_2140` `flip3-+_binary64_2146` `flip-+_binary64_2117` `div-exp_binary64_2194` `frac-2neg_binary64_2154`

Counts

1 → 29

Calls

1 calls:

5.0ms

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

series40.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5269	557

prune74.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	30	4	34

Merged error: 0.1b

Counts

34 → 4

Compiler

Compiled 1151 to 847 computations (26.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_2175`
9×	`add-sqr-sqrt_binary64_2165` `cbrt-prod_binary64_2174` `add-exp-log_binary64_2181` `add-cube-cbrt_binary64_2178` `flip3-+_binary64_2146` `flip-+_binary64_2117` `*-un-lft-identity_binary64_2143`
8×	`associate-/r/_binary64_2089`
7×	`add-cbrt-cube_binary64_2179`
4×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `frac-times_binary64_2153`
3×	`associate-/l*_binary64_2088` `times-frac_binary64_2149` `pow1/3_binary64_2225`
2×	`cbrt-undiv_binary64_2177` `associate-l/_binary64_2086` `associate-r/_binary64_2085` `div-exp_binary64_2194`
1×	`clear-num_binary64_2142` `associate-/r*_binary64_2087` `div-inv_binary64_2140` `cbrt-unprod_binary64_2176` `prod-exp_binary64_2192` `frac-2neg_binary64_2154`

Counts

4 → 68

Calls

4 calls:

11.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series404.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
95.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
91.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
83.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5033	1523

prune123.0ms (4.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.1b

Counts

84 → 4

Compiler

Compiled 2411 to 1597 computations (33.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x x))
0.2b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
21.0b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite45.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_2165`
68×	`*-un-lft-identity_binary64_2143`
61×	`times-frac_binary64_2149`
44×	`difference-of-squares_binary64_2112`
36×	`associate-l_binary64_2084`
33×	`add-cube-cbrt_binary64_2178`
14×	`unpow-prod-down_binary64_2222` `sqr-pow_binary64_2115`
10×	`associate-/r*_binary64_2087` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
7×	`distribute-lft-out--_binary64_2095`
5×	`pow1_binary64_2204` `add-log-exp_binary64_2182` `flip--_binary64_2118` `flip3--_binary64_2147`
4×	`associate-/r/_binary64_2089` `associate-r_binary64_2083`
3×	`sub-neg_binary64_2136` `associate-/l*_binary64_2088` `cancel-sign-sub-inv_binary64_2109`
2×	`cbrt-undiv_binary64_2177` `distribute-rgt-in_binary64_2093` `frac-times_binary64_2153` `div-inv_binary64_2140` `cbrt-unprod_binary64_2176` `prod-exp_binary64_2192` `associate-*r/_binary64_2085` `unswap-sqr_binary64_2111` `distribute-lft-in_binary64_2092` `div-exp_binary64_2194`
1×	`diff-log_binary64_2235` `clear-num_binary64_2142` `pow-prod-down_binary64_2214` `associate-l/_binary64_2086` `-commutative_binary64_2074` `frac-2neg_binary64_2154`

Counts

3 → 134

Calls

3 calls:

19.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
3.0ms	(-.f64 -1 (*.f64 x x))

series236.0ms (9.1%)

Counts

3 → 9

Calls

3 calls:

102.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
80.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
53.0ms	(-.f64 -1 (*.f64 x x))

simplify71.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5257	2753

prune169.0ms (6.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0.1b

Counts

147 → 4

Compiler

Compiled 3026 to 2232 computations (26.2% saved)

regimes13.0ms (0.5%)

Compiler: Compiled 59 to 45 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample587.0ms (22.7%)

Algorithm

1×

intervals

Results

157.0ms	1925×	body	512	valid
139.0ms	4639×	body	128	valid
56.0ms	1048×	body	256	valid
40.0ms	388×	body	1024	valid

Compiler

Compiled 76 to 61 computations (19.7% saved)

Details

analyze4.0ms (0.2%)

sample17.0ms (0.7%)

simplify170.0ms (6.6%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

rewrite63.0ms (2.4%)

series112.0ms (4.4%)

simplify82.0ms (3.2%)

prune172.0ms (6.7%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series40.0ms (1.6%)

simplify65.0ms (2.5%)

prune74.0ms (2.8%)

localize8.0ms (0.3%)

rewrite26.0ms (1%)

series404.0ms (15.7%)

simplify67.0ms (2.6%)

prune123.0ms (4.8%)

localize8.0ms (0.3%)

rewrite45.0ms (1.7%)

series236.0ms (9.1%)

simplify71.0ms (2.8%)

prune169.0ms (6.5%)

regimes13.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample587.0ms (22.7%)

Profiling