Details

analyze10.0ms (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 (0.7%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 347 to 94 computations (72.9% saved)

simplify157.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5240	106

prune11.0ms (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

28.9b

Counts

2 → 2

Compiler

Compiled 315 to 160 computations (49.2% saved)

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)
0.3b	(*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)
15.5b	(.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)))))
28.4b	(/.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 (17.2%)

Algorithm

1×	rewrite-expression-head

Error

28.9b

Rules

41×	`add-sqr-sqrt_binary64_3169`
26×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
21×	`add-exp-log_binary64_3185` `associate-r_binary64_3087`
19×	`times-frac_binary64_3153`
17×	`associate-l_binary64_3088`
15×	`add-cbrt-cube_binary64_3183`
8×	`prod-exp_binary64_3196` `unswap-sqr_binary64_3115` `unpow-prod-down_binary64_3226`
6×	`pow1_binary64_3208`
4×	`add-log-exp_binary64_3186` `associate-/r/_binary64_3093` `cbrt-unprod_binary64_3180` `sqr-pow_binary64_3119`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `*-commutative_binary64_3078`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `div-inv_binary64_3144` `associate-/l/_binary64_3094` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `associate-*r/_binary64_3089`

Counts

4 → 115

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))))
30.0ms	(.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 (pow.f64 x 4) 2620859570069187/9007199254740992)
5.0ms	(*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)

Compiler

Compiled 12172 to 9510 computations (21.9% saved)

series353.0ms (5.6%)

Error

Counts

4 → 20

Calls

4 calls:

124.0ms	(.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)))))
99.0ms	(/.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))))
50.0ms	(*.f64 (pow.f64 x 6) 2502400853142105/36028797018963968)
45.0ms	(*.f64 (pow.f64 x 4) 2620859570069187/9007199254740992)

Compiler

Compiled 1666 to 1346 computations (19.2% saved)

simplify143.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4903	8910
1	4903	8910

prune840.0ms (13.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Error

Counts

137 → 3

Compiler

Compiled 11879 to 9253 computations (22.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
0.2b	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

rewrite119.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`times-frac_binary64_3153`
33×	`*-un-lft-identity_binary64_3147`
27×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
12×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175` `associate-/r*_binary64_3091`
7×	`add-exp-log_binary64_3185`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unpow3_binary64_3213` `cube-mult_binary64_3177` `sqr-pow_binary64_3119`
3×	`div-exp_binary64_3198` `associate-/l*_binary64_3092`
2×	`pow1_binary64_3208` `distribute-lft-out_binary64_3098`
1×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `sum-log_binary64_3238` `frac-add_binary64_3155` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

2 → 79

Calls

2 calls:

29.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
5.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 1361 to 1066 computations (21.7% saved)

series104.0ms (1.6%)

Error

Counts

2 → 9

Calls

2 calls:

66.0ms	(+.f64 (/.f64 1/2 x) (/.f64 1660320414109913/6603827387272392 (pow.f64 x 3)))
32.0ms	(/.f64 1660320414109913/6603827387272392 (pow.f64 x 3))

Compiler

Compiled 220 to 194 computations (11.8% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	1153
1	4977	1153

prune73.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1231 to 921 computations (25.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_3169`
12×	`associate-r_binary64_3087`
7×	`add-exp-log_binary64_3185`
6×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unpow-prod-down_binary64_3226` `unswap-sqr_binary64_3115` `cube-prod_binary64_3175`
3×	`prod-exp_binary64_3196` `associate-l_binary64_3088`
2×	`pow1_binary64_3208` `sqr-pow_binary64_3119`
1×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `cbrt-unprod_binary64_3180` `unpow3_binary64_3213` `cube-mult_binary64_3177` `*-commutative_binary64_3078` `diff-log_binary64_3239` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113`

Counts

2 → 43

Calls

2 calls:

6.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))
3.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 594 to 447 computations (24.7% saved)

series96.0ms (1.5%)

Error

Counts

2 → 9

Calls

2 calls:

59.0ms	(-.f64 x (*.f64 24015124616067039/36028797018963968 (pow.f64 x 3)))
33.0ms	(*.f64 24015124616067039/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5192	542

prune35.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 563 to 405 computations (28.1% saved)

regimes310.0ms (4.9%)

Accuracy

Total 0.0b remaining (89.2%)

Threshold costs 0.0b (89.2%)

Compiler

Compiled 4070 to 2902 computations (28.7% saved)

bsearch104.0ms (1.6%)

Steps

Iters	Range		Point
10	9.163985031880494e-09	54742759.16130861	5537.71691137344
5	-528258808.3292802	-246559224.81501204	-428647994.1310869

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	88	135
1	88	135

end0.0ms (0%)

sample2.6s (41.5%)

Algorithm

1×

intervals

Results

965.0ms

8000×

body

128

valid

Compiler

Compiled 2126 to 1524 computations (28.3% saved)

Details

analyze10.0ms (0.2%)

sample44.0ms (0.7%)

simplify157.0ms (2.5%)

prune11.0ms (0.2%)

localize41.0ms (0.6%)

rewrite1.1s (17.2%)

series353.0ms (5.6%)

simplify143.0ms (2.3%)

prune840.0ms (13.3%)

localize6.0ms (0.1%)

rewrite119.0ms (1.9%)

series104.0ms (1.6%)

simplify59.0ms (0.9%)

prune73.0ms (1.2%)

localize4.0ms (0.1%)

rewrite47.0ms (0.7%)

series96.0ms (1.5%)

simplify50.0ms (0.8%)

prune35.0ms (0.6%)

regimes310.0ms (4.9%)

bsearch104.0ms (1.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.6s (41.5%)

Profiling