Details

analyze15.0ms (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
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)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify155.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5240	106

prune12.0ms (0.2%)

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

25.1b

Counts

2 → 2

Compiler

Compiled 315 to 160 computations (49.2% saved)

localize44.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) (*.f64 x x))
0.2b	(.f64 1737369620307813/2251799813685248 (.f64 x x))
11.6b	(.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)
24.7b	(/.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)))))

rewrite1.2s (16.7%)

Algorithm

1×	rewrite-expression-head

Error

25.1b

Rules

122×	`pow1_binary64_2185`
36×	`pow-prod-up_binary64_2194`
28×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
27×	`add-sqr-sqrt_binary64_2146` `pow-prod-down_binary64_2195`
22×	`pow-sqr_binary64_2097`
21×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`times-frac_binary64_2130` `associate-l_binary64_2065`
18×	`pow-plus_binary64_2187`
13×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `pow2_binary64_2205`
5×	`associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `associate-/r/_binary64_2070` `unswap-sqr_binary64_2092`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `*-commutative_binary64_2055`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-*l/_binary64_2067` `swap-sqr_binary64_2091`

Counts

4 → 147

Calls

4 calls:

91.0ms	(/.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)))))
76.0ms	(.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)
10.0ms	(.f64 (.f64 x x) (*.f64 x x))
8.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))

Compiler

Compiled 34482 to 8433 computations (75.5% saved)

series532.0ms (7.2%)

Error

Counts

4 → 28

Calls

4 calls:

214.0ms	(.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)
184.0ms	(/.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)))))
42.0ms	(.f64 1737369620307813/2251799813685248 (.f64 x x))
40.0ms	(.f64 (.f64 x x) (*.f64 x x))

Compiler

Compiled 3806 to 1483 computations (61% saved)

simplify207.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4907	8879
1	4907	8879

prune1.0s (13.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	175	2	177

Error

Counts

177 → 2

Compiler

Compiled 25769 to 9584 computations (62.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
0.1b	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
16.5b	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))

rewrite121.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_2146`
19×	`associate-r_binary64_2064`
14×	`add-exp-log_binary64_2162`
11×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
8×	`add-cbrt-cube_binary64_2160` `unpow-prod-down_binary64_2203`
7×	`unswap-sqr_binary64_2092`
6×	`prod-exp_binary64_2173` `associate-l_binary64_2065`
4×	`pow1_binary64_2185` `cube-prod_binary64_2152` `sqr-pow_binary64_2096`
2×	`diff-log_binary64_2216` `sum-log_binary64_2215` `sub-neg_binary64_2117` `associate-+r+_binary64_2056` `cancel-sign-sub-inv_binary64_2090` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r-_binary64_2058` `+-commutative_binary64_2054` `unpow3_binary64_2190` `cube-mult_binary64_2154` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 83

Calls

4 calls:

7.0ms	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))
6.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
5.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
3.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series181.0ms (2.5%)

Error

Counts

4 → 17

Calls

4 calls:

58.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
43.0ms	(+.f64 (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5)) (-.f64 x (.f64 24015124616067039/36028797018963968 (pow.f64 x 3))))
39.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
29.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4953	1222
1	4953	1222

prune105.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Error

Counts

102 → 2

Compiler

Compiled 1726 to 1336 computations (22.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))
0.1b	(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))
0.3b	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
0.5b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite421.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

80×	`times-frac_binary64_2130`
67×	`*-un-lft-identity_binary64_2124`
61×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
36×	`unpow-prod-down_binary64_2203`
26×	`associate-/r*_binary64_2068`
19×	`add-exp-log_binary64_2162`
12×	`cube-prod_binary64_2152` `sqr-pow_binary64_2096`
10×	`add-cbrt-cube_binary64_2160`
9×	`div-exp_binary64_2175` `associate-/l*_binary64_2069`
6×	`add-log-exp_binary64_2163`
4×	`pow1_binary64_2185` `unpow3_binary64_2190` `cube-mult_binary64_2154`
3×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
2×	`distribute-lft-out_binary64_2075`
1×	`sum-log_binary64_2215` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 169

Calls

4 calls:

50.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))
6.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))
5.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
4.0ms	(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))

Compiler

Compiled 4941 to 4006 computations (18.9% saved)

series232.0ms (3.1%)

Error

Counts

4 → 15

Calls

4 calls:

94.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))
52.0ms	(/.f64 90075934112096643708144967800859671858474104609/7999901474247532368018484521926651180403835008 (pow.f64 x 7))
37.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
34.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 882 to 748 computations (15.2% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5158	2562

prune332.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	184	2	186

Error

Counts

186 → 2

Compiler

Compiled 4900 to 3924 computations (19.9% saved)

regimes337.0ms (4.6%)

Accuracy

Total 0.2b remaining (98.5%)

Threshold costs 0.2b (98.5%)

Compiler

Compiled 6200 to 1990 computations (67.9% saved)

bsearch117.0ms (1.6%)

Steps

Iters	Range		Point
9	1.0181114343269376e-07	284.68815201752824	1.475749683895564
9	-254.7653992443285	-0.0003747293649081619	-1.4855617468713835

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	76
1	76	76

end0.0ms (0%)

sample2.1s (28.6%)

Algorithm

1×

intervals

Results

969.0ms

8000×

body

128

valid

Compiler

Compiled 3151 to 1039 computations (67% saved)

Details

analyze15.0ms (0.2%)

sample44.0ms (0.6%)

simplify155.0ms (2.1%)

prune12.0ms (0.2%)

localize44.0ms (0.6%)

rewrite1.2s (16.7%)

series532.0ms (7.2%)

simplify207.0ms (2.8%)

prune1.0s (13.9%)

localize8.0ms (0.1%)

rewrite121.0ms (1.6%)

series181.0ms (2.5%)

simplify57.0ms (0.8%)

prune105.0ms (1.4%)

localize13.0ms (0.2%)

rewrite421.0ms (5.7%)

series232.0ms (3.1%)

simplify73.0ms (1%)

prune332.0ms (4.5%)

regimes337.0ms (4.6%)

bsearch117.0ms (1.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (28.6%)

Profiling