Details

analyze298.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	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 18 to 15 computations (16.7% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify212.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	4595	25
1	4595	25

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
14.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite34.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
17×	`*-un-lft-identity_binary64_2124`
15×	`add-cube-cbrt_binary64_2159`
10×	`times-frac_binary64_2130`
8×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185`
4×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`difference-of-squares_binary64_2093` `associate-/r/_binary64_2070` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `div-inv_binary64_2121` `div-exp_binary64_2175` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 81

Calls

4 calls:

11.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series112.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
28.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
25.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
21.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify106.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4821	2141
1	4821	2141

prune132.0ms (4.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	2	94

Error

Counts

94 → 2

Compiler

Compiled 2380 to 1862 computations (21.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
14.5b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite65.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`times-frac_binary64_2130`
75×	`add-sqr-sqrt_binary64_2146`
64×	`*-un-lft-identity_binary64_2124`
59×	`add-cube-cbrt_binary64_2159`
19×	`add-exp-log_binary64_2162`
18×	`associate-/r*_binary64_2068`
13×	`add-cbrt-cube_binary64_2160`
11×	`associate-/r/_binary64_2070`
8×	`div-exp_binary64_2175`
7×	`pow1_binary64_2185` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121`
6×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163`
5×	`difference-of-squares_binary64_2093`
4×	`cbrt-undiv_binary64_2158`
3×	`cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`clear-num_binary64_2123` `distribute-lft-out--_binary64_2076` `associate-*r/_binary64_2066` `1-exp_binary64_2168` `associate-/l/_binary64_2071` `frac-2neg_binary64_2135` `rec-exp_binary64_2174`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `pow-flip_binary64_2198` `inv-pow_binary64_2209` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157`

Counts

4 → 158

Calls

4 calls:

23.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
9.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series111.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
29.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))) x)
20.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
20.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

simplify110.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4901	5533
1	4901	5533

prune312.0ms (10%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	170	2	172

Error

Counts

172 → 2

Compiler

Compiled 5103 to 4102 computations (19.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
0.8b	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
2.7b	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
11.6b	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))

rewrite66.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2146`
41×	`add-cube-cbrt_binary64_2159` `cbrt-prod_binary64_2155` `*-un-lft-identity_binary64_2124`
40×	`cbrt-div_binary64_2156`
38×	`times-frac_binary64_2130`
30×	`associate-r_binary64_2064`
22×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
20×	`frac-times_binary64_2134` `add-exp-log_binary64_2162`
16×	`pow1_binary64_2185`
14×	`associate-*l/_binary64_2067`
11×	`add-cbrt-cube_binary64_2160`
7×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `pow1/3_binary64_2206` `prod-exp_binary64_2173` `associate-*r/_binary64_2066` `cbrt-unprod_binary64_2157`
6×	`associate-/l*_binary64_2069` `swap-sqr_binary64_2091`
5×	`pow-prod-down_binary64_2195`
4×	`associate-/r/_binary64_2070` `add-log-exp_binary64_2163`
3×	`cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068` `div-exp_binary64_2175`
2×	`pow-prod-up_binary64_2194` `*-commutative_binary64_2055` `pow-sqr_binary64_2097` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `pow-plus_binary64_2187` `pow2_binary64_2205` `frac-2neg_binary64_2135`

Counts

4 → 167

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))
13.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
7.0ms	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
3.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series146.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
36.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
33.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
25.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))

simplify120.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	5748
1	4951	5748

prune511.0ms (16.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 7234 to 5954 computations (17.7% saved)

regimes54.0ms (1.7%)

Accuracy

Total 0.0b remaining (90.6%)

Threshold costs 0.0b (90.6%)

Compiler

Compiled 532 to 444 computations (16.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	28
1	33	28

end0.0ms (0%)

sample680.0ms (21.7%)

Algorithm

1×

intervals

Results

309.0ms

8000×

body

128

valid

Compiler

Compiled 285 to 239 computations (16.1% saved)

Details

analyze298.0ms (9.5%)

sample15.0ms (0.5%)

simplify212.0ms (6.8%)

prune3.0ms (0.1%)

localize14.0ms (0.5%)

rewrite34.0ms (1.1%)

series112.0ms (3.6%)

simplify106.0ms (3.4%)

prune132.0ms (4.2%)

localize12.0ms (0.4%)

rewrite65.0ms (2.1%)

series111.0ms (3.5%)

simplify110.0ms (3.5%)

prune312.0ms (10%)

localize15.0ms (0.5%)

rewrite66.0ms (2.1%)

series146.0ms (4.7%)

simplify120.0ms (3.8%)

prune511.0ms (16.3%)

regimes54.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample680.0ms (21.7%)

Profiling