Details

analyze158.0ms (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)

sample47.0ms (0.6%)

Algorithm

1×

intervals

Results

33.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5240	106

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.9b

Counts

2 → 1

Compiler

Compiled 142 to 114 computations (19.7% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 3782789308857969/36028797018963968 (.f64 x x))
0.4b	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
14.8b	(.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)))))
28.9b	(/.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))))

rewrite1.0s (12.9%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

35×	`add-sqr-sqrt_binary64_2828`
24×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
23×	`associate-r_binary64_2746`
21×	`add-exp-log_binary64_2844`
19×	`times-frac_binary64_2812`
18×	`add-cbrt-cube_binary64_2842`
11×	`pow1_binary64_2867`
9×	`associate-l_binary64_2747`
8×	`prod-exp_binary64_2855`
6×	`cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774`
4×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752` `pow-prod-down_binary64_2877` `unpow-prod-down_binary64_2885`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `*-commutative_binary64_2737`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `associate-/l/_binary64_2753` `sqr-pow_binary64_2778`
1×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `associate-*r/_binary64_2748` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874`

Counts

4 → 109

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)))))
6.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))
6.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))

Compiler

Compiled 11687 to 9121 computations (22% saved)

series361.0ms (4.5%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

120.0ms	(.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)))))
101.0ms	(/.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))))
63.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
42.0ms	(.f64 3782789308857969/36028797018963968 (.f64 x x))

Compiler

Compiled 1706 to 1396 computations (18.2% saved)

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4909	8863
1	4909	8863

prune827.0ms (10.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 11485 to 8968 computations (21.9% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
0.1b	(.f64 (.f64 x x) 3782789308857969/36028797018963968)
0.4b	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
28.9b	(/.f64 (.f64 x (+.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))))

rewrite582.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-exp-log_binary64_2844`
21×	`add-cbrt-cube_binary64_2842`
18×	`add-sqr-sqrt_binary64_2828`
14×	`pow1_binary64_2867`
13×	`associate-r_binary64_2746`
11×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`prod-exp_binary64_2855`
8×	`cbrt-unprod_binary64_2839`
6×	`pow-prod-down_binary64_2877`
5×	`unswap-sqr_binary64_2774` `associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `unpow-prod-down_binary64_2885`
3×	`times-frac_binary64_2812` `associate-/r_binary64_2750` `-commutative_binary64_2737`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `flip3-+_binary64_2809` `associate-*r/_binary64_2748` `associate-/l/_binary64_2753` `flip-+_binary64_2780` `associate-/r/_binary64_2752` `sqr-pow_binary64_2778`
1×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/l*_binary64_2751` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874`

Counts

4 → 88

Calls

4 calls:

35.0ms	(/.f64 (.f64 x (+.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))))
6.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)
6.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
5.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))

Compiler

Compiled 7878 to 6121 computations (22.3% saved)

series296.0ms (3.7%)

Error

Counts

4 → 17

Calls

4 calls:

121.0ms	(/.f64 (.f64 x (+.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))))
61.0ms	(*.f64 825478423409049/2305843009213693952 (pow.f64 x 12))
42.0ms	(.f64 (.f64 x x) 1737369620307813/2251799813685248)
38.0ms	(.f64 (.f64 x x) 3782789308857969/36028797018963968)

Compiler

Compiled 2103 to 1717 computations (18.4% saved)

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4985	3737
1	4985	3737

prune563.0ms (7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 7998 to 6253 computations (21.8% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_2828` `associate-r_binary64_2746`
6×	`add-exp-log_binary64_2844`
5×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`unpow-prod-down_binary64_2885` `unswap-sqr_binary64_2774` `cube-prod_binary64_2834`
3×	`prod-exp_binary64_2855` `add-cbrt-cube_binary64_2842` `associate-l_binary64_2747`
2×	`sqr-pow_binary64_2778`
1×	`pow1_binary64_2867` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unpow3_binary64_2872` `cube-mult_binary64_2836` `*-commutative_binary64_2737`

Counts

1 → 31

Calls

1 calls:

7.0ms

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

Compiler

Compiled 407 to 306 computations (24.8% saved)

series36.0ms (0.4%)

Error

Counts

1 → 3

Calls

1 calls:

34.0ms

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

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4921	305
1	4921	305

prune23.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Error

Counts

37 → 3

Compiler

Compiled 371 to 260 computations (29.9% saved)

regimes383.0ms (4.7%)

Accuracy

Total 0.0b remaining (91.5%)

Threshold costs 0.0b (91.5%)

Compiler

Compiled 5324 to 3906 computations (26.6% saved)

bsearch127.0ms (1.6%)

Steps

Iters	Range		Point
10	0.02548230018355751	532115981.38096166	57429131.20708036
8	-5.3628868525317e+14	-9954545649.05339	-4366088820824.0933

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	124
1	85	124

end0.0ms (0%)

sample3.1s (38.1%)

Algorithm

1×

intervals

Results

974.0ms

8000×

body

128

valid

Compiler

Compiled 2745 to 2020 computations (26.4% saved)

Details

analyze158.0ms (2%)

sample47.0ms (0.6%)

simplify64.0ms (0.8%)

prune8.0ms (0.1%)

localize46.0ms (0.6%)

rewrite1.0s (12.9%)

series361.0ms (4.5%)

simplify148.0ms (1.8%)

prune827.0ms (10.3%)

localize41.0ms (0.5%)

rewrite582.0ms (7.2%)

series296.0ms (3.7%)

simplify91.0ms (1.1%)

prune563.0ms (7%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite35.0ms (0.4%)

series36.0ms (0.4%)

simplify91.0ms (1.1%)

prune23.0ms (0.3%)

regimes383.0ms (4.7%)

bsearch127.0ms (1.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (38.1%)

Profiling