Details

analyze162.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5240	106
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
81.2%	18.7%	0%	6
100%	0%	0%	7

Compiler

Compiled 174 to 47 computations (73% saved)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

31.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5240	106

prune8.0ms (0.2%)

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: 28.9b

Counts

2 → 1

Compiler

Compiled 244 to 103 computations (57.8% saved)

localize46.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
0.1b	(.f64 1737369620307813/2251799813685248 (.f64 x x))
15.2b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
28.4b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))

rewrite246.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_2146`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
21×	`associate-l_binary64_2065` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
19×	`times-frac_binary64_2130`
16×	`pow1_binary64_2185`
8×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`pow-prod-down_binary64_2195`
5×	`associate-r_binary64_2064`
4×	`associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `add-log-exp_binary64_2163`
3×	`associate-/l_binary64_2069` `-commutative_binary64_2055` `associate-/r*_binary64_2068` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `associate-*l/_binary64_2067` `frac-2neg_binary64_2135`

Counts

4 → 103

Calls

4 calls:

100.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
74.0ms	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
17.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

series291.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
116.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (.f64 (.f64 x x) (.f64 x x)))) (.f64 8375303961237363/1152921504606846976 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 583843369866023/1152921504606846976 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 825478423409049/4611686018427387904 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1737369620307813/2251799813685248 (.f64 x x))) (.f64 2620859570069187/9007199254740992 (.f64 (.f64 x x) (.f64 x x)))) (.f64 2502400853142105/36028797018963968 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2017691060547333/144115188075855872 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 7681173503746455/9223372036854775808 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 825478423409049/4611686018427387904) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
19.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))
17.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

simplify171.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5673	8640

prune730.0ms (15.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Merged error: 0b

Counts

116 → 2

Compiler

Compiled 18190 to 7380 computations (59.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b

(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))

0.1b

(*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968)

19.8b

(-.f64 (+.f64 x (*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
15×	`associate-l_binary64_2065`
13×	`add-exp-log_binary64_2162`
10×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064` `*-un-lft-identity_binary64_2124`
8×	`unpow-prod-down_binary64_2203` `add-log-exp_binary64_2163`
7×	`unswap-sqr_binary64_2092` `add-cbrt-cube_binary64_2160`
6×	`prod-exp_binary64_2173`
4×	`sqr-pow_binary64_2096` `cube-prod_binary64_2152`
3×	`pow1_binary64_2185`
2×	`pow-exp_binary64_2192` `*-commutative_binary64_2055` `diff-log_binary64_2216` `pow-to-exp_binary64_2193` `cbrt-unprod_binary64_2157`
1×	`flip--_binary64_2099` `unpow3_binary64_2190` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `cube-mult_binary64_2154` `sum-log_binary64_2215` `associate--l+_binary64_2061` `sub-neg_binary64_2117`

Counts

3 → 70

Calls

3 calls:

6.0ms

(*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968)

6.0ms

(-.f64 (+.f64 x (*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968))

5.0ms

(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))

series84.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

30.0ms

(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))

29.0ms

(-.f64 (+.f64 x (*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968))

24.0ms

(*.f64 (pow.f64 x 3) 24015124616067039/36028797018963968)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5018	1015

prune85.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1430 to 1108 computations (22.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
0.1b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`times-frac_binary64_2130`
43×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
24×	`unpow-prod-down_binary64_2203`
19×	`associate-/r*_binary64_2068`
12×	`cube-prod_binary64_2152` `add-exp-log_binary64_2162`
8×	`sqr-pow_binary64_2096`
6×	`associate-/l*_binary64_2069` `add-cbrt-cube_binary64_2160` `div-exp_binary64_2175`
4×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `pow-exp_binary64_2192` `pow1_binary64_2185` `add-log-exp_binary64_2163` `pow-to-exp_binary64_2193` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

2 → 110

Calls

2 calls:

5.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))
5.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

series53.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
23.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	1518
1	4949	1518

prune148.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0b

Counts

118 → 2

Compiler

Compiled 2394 to 1872 computations (21.8% saved)

regimes223.0ms (4.7%)

Compiler: Compiled 3274 to 1998 computations (39% saved)

bsearch124.0ms (2.6%)

Steps

Iters	Range		Point
11	3.151360453227909e-07	6.0416263773060675e+29	1.136524166317933
10	-4892.824427936492	-2.2540639190078017e-13	-1.1504024782970308

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	55
1	61	55

end0.0ms (0%)

sample2.0s (43.1%)

Algorithm

1×

intervals

Results

981.0ms

8000×

body

128

valid

Compiler

Compiled 1674 to 1030 computations (38.5% saved)

Details

analyze162.0ms (3.4%)

sample43.0ms (0.9%)

simplify64.0ms (1.3%)

prune8.0ms (0.2%)

localize46.0ms (1%)

rewrite246.0ms (5.2%)

series291.0ms (6.1%)

simplify171.0ms (3.6%)

prune730.0ms (15.4%)

localize8.0ms (0.2%)

rewrite25.0ms (0.5%)

series84.0ms (1.8%)

simplify73.0ms (1.5%)

prune85.0ms (1.8%)

localize10.0ms (0.2%)

rewrite19.0ms (0.4%)

series53.0ms (1.1%)

simplify82.0ms (1.7%)

prune148.0ms (3.1%)

regimes223.0ms (4.7%)

bsearch124.0ms (2.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (43.1%)

Profiling