Details

analyze212.0ms (2.2%)

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)

sample51.0ms (0.5%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5240	106

prune15.0ms (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

24.6b

Counts

2 → 2

Compiler

Compiled 315 to 160 computations (49.2% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
12.9b	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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)))))
24.2b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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))))

rewrite1.1s (11.4%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

29×	`add-sqr-sqrt_binary64_3851`
22×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
21×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
19×	`times-frac_binary64_3835` `associate-r_binary64_3769`
16×	`pow1_binary64_3890`
8×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
7×	`pow-prod-down_binary64_3900` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `associate-/r/_binary64_3775` `unswap-sqr_binary64_3797`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/l_binary64_3774` `associate-/r_binary64_3773` `*-commutative_binary64_3760`
2×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `div-inv_binary64_3826` `associate-/l/_binary64_3776`
1×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `associate-*r/_binary64_3771`

Counts

4 → 103

Calls

4 calls:

35.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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))))
31.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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)))))
11.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 10618 to 8271 computations (22.1% saved)

series489.0ms (5%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

190.0ms	(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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)))))
160.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 3782789308857969/36028797018963968 (.f64 x x))) (.f64 763919671262763/18014398509481984 (pow.f64 x 4))) (.f64 8375303961237363/1152921504606846976 (pow.f64 x 6))) (.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))))
56.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
52.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)

Compiler

Compiled 1382 to 1154 computations (16.5% saved)

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4945	8790
1	4945	8790

prune779.0ms (8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	125	2	127

Error

Counts

127 → 2

Compiler

Compiled 9093 to 7105 computations (21.9% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 3782789308857969/36028797018963968)
0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
12.9b	(.f64 x (/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))
24.2b	(/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))

rewrite1.4s (14.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

216×	`*-un-lft-identity_binary64_3829`
73×	`times-frac_binary64_3835`
67×	`add-sqr-sqrt_binary64_3851`
65×	`distribute-lft-out--_binary64_3781`
52×	`distribute-lft-out_binary64_3780` `associate-r_binary64_3769`
34×	`add-cube-cbrt_binary64_3864`
21×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
16×	`pow1_binary64_3890`
13×	`difference-of-squares_binary64_3798`
12×	`associate-/r/_binary64_3775`
11×	`flip3--_binary64_3833` `flip--_binary64_3804`
8×	`frac-add_binary64_3837` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
7×	`pow-prod-down_binary64_3900`
6×	`associate-/l/_binary64_3776` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
5×	`associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `flip3-+_binary64_3832` `frac-sub_binary64_3838` `flip-+_binary64_3803` `unswap-sqr_binary64_3797`
3×	`*-commutative_binary64_3760`
2×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `div-inv_binary64_3826`
1×	`frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `associate-*r/_binary64_3771`

Counts

4 → 176

Calls

4 calls:

48.0ms	(/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))
45.0ms	(.f64 x (/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))
6.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
6.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)

Compiler

Compiled 14635 to 11433 computations (21.9% saved)

series474.0ms (4.9%)

Error

Counts

4 → 22

Calls

4 calls:

184.0ms	(.f64 x (/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808)))))
154.0ms	(/.f64 (-.f64 (-.f64 -1 (+.f64 (.f64 (.f64 x x) 3782789308857969/36028797018963968) (.f64 (pow.f64 x 4) 763919671262763/18014398509481984))) (+.f64 (.f64 (pow.f64 x 6) 8375303961237363/1152921504606846976) (+.f64 (.f64 583843369866023/1152921504606846976 (pow.f64 x 8)) (.f64 825478423409049/4611686018427387904 (pow.f64 x 10))))) (+.f64 (-.f64 -1 (+.f64 (+.f64 (.f64 (.f64 x x) 1737369620307813/2251799813685248) (.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)) (+.f64 (.f64 (pow.f64 x 6) 2502400853142105/36028797018963968) (.f64 (pow.f64 x 8) 2017691060547333/144115188075855872)))) (-.f64 (.f64 (pow.f64 x 12) -825478423409049/2305843009213693952) (*.f64 (pow.f64 x 10) 7681173503746455/9223372036854775808))))
54.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
52.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)

Compiler

Compiled 1382 to 1154 computations (16.5% saved)

simplify179.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5584	17069

prune1.1s (10.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	198	2	200

Error

Counts

200 → 2

Compiler

Compiled 12264 to 9595 computations (21.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`times-frac_binary64_3835`
26×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
12×	`unpow-prod-down_binary64_3908` `cube-prod_binary64_3857` `associate-/r*_binary64_3773`
6×	`add-exp-log_binary64_3867`
4×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `sqr-pow_binary64_3801`
3×	`div-exp_binary64_3880` `add-cbrt-cube_binary64_3865` `associate-/l*_binary64_3774`
1×	`pow1_binary64_3890` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `add-log-exp_binary64_3868` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826`

Counts

1 → 65

Calls

1 calls:

6.0ms

(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 856 to 676 computations (21% saved)

series46.0ms (0.5%)

Error

Counts

1 → 3

Calls

1 calls:

45.0ms

(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4954	839
1	4954	839

prune65.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Compiler

Compiled 549 to 412 computations (25% saved)

regimes1.9s (19.9%)

Accuracy

Total 0.0b remaining (22.1%)

Threshold costs 0.0b (22.1%)

Compiler

Compiled 19164 to 14838 computations (22.6% saved)

bsearch74.0ms (0.8%)

Steps

Iters	Range		Point
5	0.0004718803377544349	20193.36518836956	11811.963660157699
2	-4.760340533834935e+19	-65051137963796.766	-1924412471488402.0

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	305	143
1	305	143

end8.0ms (0.1%)

Compiler: Compiled 95 to 74 computations (22.1% saved)

sample1.4s (14.1%)

Algorithm

1×

intervals

Results

973.0ms

8000×

body

128

valid

Compiler

Compiled 352 to 193 computations (45.2% saved)

Details

analyze212.0ms (2.2%)

sample51.0ms (0.5%)

simplify63.0ms (0.6%)

prune15.0ms (0.1%)

localize49.0ms (0.5%)

rewrite1.1s (11.4%)

series489.0ms (5%)

simplify121.0ms (1.2%)

prune779.0ms (8%)

localize45.0ms (0.5%)

rewrite1.4s (14.5%)

series474.0ms (4.9%)

simplify179.0ms (1.8%)

prune1.1s (10.8%)

localize6.0ms (0.1%)

rewrite106.0ms (1.1%)

series46.0ms (0.5%)

simplify69.0ms (0.7%)

prune65.0ms (0.7%)

regimes1.9s (19.9%)

bsearch74.0ms (0.8%)

simplify7.0ms (0.1%)

end8.0ms (0.1%)

sample1.4s (14.1%)

Profiling