Details

analyze279.0ms (1.4%)

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)

sample93.0ms (0.5%)

Algorithm

1×

intervals

Results

67.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5240	106

prune17.0ms (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

Error

28.9b

Counts

2 → 1

Compiler

Compiled 244 to 103 computations (57.8% saved)

localize95.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) (*.f64 x x))
0.4b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
13.9b	(.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)))))

rewrite2.1s (10.2%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

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:

195.0ms	(/.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)))))
148.0ms	(.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 (.f64 x x) (*.f64 x x))
11.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 34482 to 8433 computations (75.5% saved)

series918.0ms (4.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

372.0ms	(.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)
305.0ms	(/.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)))))
78.0ms	(.f64 (.f64 x x) (*.f64 x x))
77.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 3722 to 1409 computations (62.1% saved)

simplify299.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5270	8805

prune1.6s (7.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	4	174

Error

Counts

174 → 4

Compiler

Compiled 25790 to 9603 computations (62.8% saved)

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.5b	(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
13.9b	(.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))) x)
15.8b	(log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
28.4b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

rewrite2.4s (11.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`log-prod_binary64_2210`
43×	`add-sqr-sqrt_binary64_2146`
37×	`times-frac_binary64_2130`
36×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
32×	`exp-sum_binary64_2170`
18×	`associate-l_binary64_2065`
10×	`add-exp-log_binary64_2162`
8×	`pow1_binary64_2185` `add-cbrt-cube_binary64_2160` `associate-/r/_binary64_2070`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`add-log-exp_binary64_2163` `div-inv_binary64_2121` `exp-prod_binary64_2176`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068` `log-div_binary64_2211` `unswap-sqr_binary64_2092` `associate-r_binary64_2064`
2×	`div-exp_binary64_2175` `associate-/l/_binary64_2071` `log-pow_binary64_2213` `rem-log-exp_binary64_2165` `exp-diff_binary64_2172`
1×	`cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l/_binary64_2067` `-commutative_binary64_2055` `rem-exp-log_binary64_2164`

Counts

4 → 121

Calls

4 calls:

69.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))
58.0ms	(.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))) x)
50.0ms	(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
46.0ms	(log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))

Compiler

Compiled 15910 to 12543 computations (21.2% saved)

series1.2s (5.9%)

Error

Counts

4 → 33

Calls

4 calls:

322.0ms	(.f64 (exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))) x)
280.0ms	(log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12)))))
278.0ms	(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))))
260.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 3782789308857969/36028797018963968)) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984)) (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976)) (.f64 583843369866023/1152921504606846976 (pow.f64 x 8))) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 1737369620307813/2251799813685248)) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)) (*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))))

Compiler

Compiled 1456 to 1260 computations (13.5% saved)

simplify352.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5008	16213

prune1.7s (8.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	154	4	158

Error

Counts

158 → 4

Compiler

Compiled 14278 to 11182 computations (21.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))
0.1b	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
0.1b	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
24.1b	(-.f64 (+.f64 x (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (+.f64 (.f64 24015124616067039/36028797018963968 (pow.f64 x 3)) (*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))))

rewrite703.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_2146`
26×	`associate-r_binary64_2064`
19×	`add-exp-log_binary64_2162`
17×	`*-un-lft-identity_binary64_2124`
16×	`add-log-exp_binary64_2163`
15×	`add-cube-cbrt_binary64_2159`
12×	`unpow-prod-down_binary64_2203`
10×	`add-cbrt-cube_binary64_2160` `unswap-sqr_binary64_2092`
9×	`prod-exp_binary64_2173` `associate-l_binary64_2065`
6×	`sqr-pow_binary64_2096`
4×	`sum-log_binary64_2215` `diff-log_binary64_2216` `pow1_binary64_2185` `flip3-+_binary64_2127` `frac-sub_binary64_2133` `flip-+_binary64_2098` `cube-prod_binary64_2152`
3×	`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_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--l+_binary64_2061` `associate--r+_binary64_2060` `unpow3_binary64_2190` `cube-mult_binary64_2154`

Counts

4 → 106

Calls

4 calls:

21.0ms	(-.f64 (+.f64 x (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (+.f64 (.f64 24015124616067039/36028797018963968 (pow.f64 x 3)) (*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))))
12.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
11.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
10.0ms	(*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))

Compiler

Compiled 3201 to 2555 computations (20.2% saved)

series320.0ms (1.6%)

Error

Counts

4 → 17

Calls

4 calls:

92.0ms	(-.f64 (+.f64 x (.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))) (+.f64 (.f64 24015124616067039/36028797018963968 (pow.f64 x 3)) (*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))))
78.0ms	(*.f64 13381696904687368689364031282950903209503661831/182687704666362864775460604089535377456991567872 (pow.f64 x 7))
68.0ms	(*.f64 21556931916393198394382988102651/81129638414606681695789005144064 (pow.f64 x 5))
55.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 691 to 574 computations (16.9% saved)

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5541	2200

prune319.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 3103 to 2455 computations (20.9% saved)

localize19.0ms (0.1%)

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)))
0.0b	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))))
0.1b	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
0.3b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite602.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
45×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
24×	`unpow-prod-down_binary64_2203`
19×	`associate-/r*_binary64_2068`
14×	`add-exp-log_binary64_2162`
12×	`cube-prod_binary64_2152`
11×	`add-log-exp_binary64_2163`
8×	`add-cbrt-cube_binary64_2160` `sqr-pow_binary64_2096`
7×	`distribute-lft-out_binary64_2075`
6×	`div-exp_binary64_2175` `associate-/l*_binary64_2069`
5×	`frac-add_binary64_2132`
4×	`pow1_binary64_2185` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sum-log_binary64_2215`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`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` `+-commutative_binary64_2054`
1×	`associate-+r+_binary64_2056`

Counts

4 → 143

Calls

4 calls:

105.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))))
94.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))
10.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))
8.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))

Compiler

Compiled 3504 to 2822 computations (19.5% saved)

series454.0ms (2.2%)

Error

Counts

4 → 19

Calls

4 calls:

154.0ms	(+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5)))
143.0ms	(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)) (/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))))
69.0ms	(/.f64 370645858300289935006419108089/2422807564493828181570755855648 (pow.f64 x 5))
60.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 710 to 615 computations (13.4% saved)

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4939	2621
1	4939	2621

prune354.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	162	4	166

Error

Counts

166 → 4

Compiler

Compiled 3348 to 2641 computations (21.1% saved)

regimes950.0ms (4.7%)

Accuracy

Total 0.0b remaining (89.9%)

Threshold costs 0.0b (89.9%)

Compiler

Compiled 10852 to 3299 computations (69.6% saved)

bsearch290.0ms (1.4%)

Steps

Iters	Range		Point
7	3.913107782886212	905.6337805166429	702.5149662773027
9	-7.872059390405897e+19	-35937437799.68307	-11576975555055.83

Compiler

Compiled 1 to 1 computations (0% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	188	517
1	188	517

end0.0ms (0%)

sample4.8s (23.6%)

Algorithm

1×

intervals

Results

1.8s

8000×

body

128

valid

Compiler

Compiled 5163 to 1597 computations (69.1% saved)

Details

analyze279.0ms (1.4%)

sample93.0ms (0.5%)

simplify113.0ms (0.6%)

prune17.0ms (0.1%)

localize95.0ms (0.5%)

rewrite2.1s (10.2%)

series918.0ms (4.5%)

simplify299.0ms (1.5%)

prune1.6s (7.8%)

localize77.0ms (0.4%)

rewrite2.4s (11.9%)

series1.2s (5.9%)

simplify352.0ms (1.7%)

prune1.7s (8.3%)

localize28.0ms (0.1%)

rewrite703.0ms (3.4%)

series320.0ms (1.6%)

simplify128.0ms (0.6%)

prune319.0ms (1.6%)

localize19.0ms (0.1%)

rewrite602.0ms (2.9%)

series454.0ms (2.2%)

simplify162.0ms (0.8%)

prune354.0ms (1.7%)

regimes950.0ms (4.7%)

bsearch290.0ms (1.4%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample4.8s (23.6%)

Profiling