Details

analyze3.8s (17%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

Compiler

Compiled 38 to 31 computations (18.4% saved)

sample72.0ms (0.3%)

Algorithm

1×

intervals

Results

42.0ms	256×	body	128	valid
5.0ms	28×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify327.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	4955	55
1	4955	55

prune7.0ms (0%)

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

Merged error: 25.5b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
0.8b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
24.6b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite156.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_9989`
15×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
12×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
10×	`pow1_binary64_10028`
9×	`associate-l_binary64_9908` `associate-r_binary64_9907`
5×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-l/_binary64_9910` `add-log-exp_binary64_10006` `associate-r/_binary64_9909`
3×	`times-frac_binary64_9973` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `associate-/r_binary64_9911` `-commutative_binary64_9898`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-/l/_binary64_9914` `associate-/r/_binary64_9913`
1×	`distribute-lft-in_binary64_9916` `associate-/l*_binary64_9912` `distribute-rgt-in_binary64_9917` `div-inv_binary64_9964` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

4 → 87

Calls

4 calls:

58.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
36.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
21.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
15.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series1.3s (5.6%)

Counts

4 → 12

Calls

4 calls:

844.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
313.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
62.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
35.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5121	3033

prune430.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.7b

Counts

100 → 8

Compiler

Compiled 4972 to 3350 computations (32.6% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a))
0.1b	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.2b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
23.0b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

rewrite186.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_9989`
24×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
21×	`associate-r_binary64_9907`
19×	`times-frac_binary64_9973`
15×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
10×	`pow1_binary64_10028`
9×	`associate-l_binary64_9908`
5×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `associate-*r/_binary64_9909`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `add-log-exp_binary64_10006` `unswap-sqr_binary64_9935` `associate-/r/_binary64_9913`
3×	`associate-/l_binary64_9912` `pow-prod-down_binary64_10038` `associate-/r_binary64_9911` `*-commutative_binary64_9898`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-/l/_binary64_9914` `distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917` `div-inv_binary64_9964`
1×	`frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

4 → 109

Calls

4 calls:

57.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
54.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
27.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a))
13.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.3s (5.6%)

Counts

4 → 12

Calls

4 calls:

845.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
284.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
70.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a))
62.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4930	5107
1	4930	5107

prune498.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 0.7b

Counts

129 → 9

Compiler

Compiled 6578 to 4436 computations (32.6% saved)

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
5.2b	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
18.6b	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
19.8b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))

rewrite280.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-sqr-sqrt_binary64_9989`
84×	`times-frac_binary64_9973`
61×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
51×	`sqrt-prod_binary64_9983`
24×	`associate-l_binary64_9908` `associate-r_binary64_9907`
20×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
12×	`associate-/r*_binary64_9911`
10×	`sqrt-div_binary64_9984`
9×	`unswap-sqr_binary64_9935`
8×	`associate-/r/_binary64_9913`
7×	`pow1_binary64_10028`
6×	`div-exp_binary64_10018` `flip3-+_binary64_9970` `cbrt-undiv_binary64_10001` `flip-+_binary64_9941` `associate-/l*_binary64_9912`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `add-log-exp_binary64_10006` `div-inv_binary64_9964`
2×	`associate-/l/_binary64_9914` `frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `pow1/2_binary64_10047` `pow-prod-down_binary64_10038` `sqrt-pow1_binary64_9985` `associate-r/_binary64_9909` `rem-sqrt-square_binary64_9980` `*-commutative_binary64_9898`

Counts

4 → 176

Calls

4 calls:

110.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
54.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
28.0ms	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
23.0ms	(sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

series1.6s (6.9%)

Counts

4 → 12

Calls

4 calls:

831.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
433.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
245.0ms	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
43.0ms	(sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

simplify262.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5008	12157

prune1.3s (6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	188	9	197

Merged error: 0.7b

Counts

197 → 9

Compiler

Compiled 14172 to 9927 computations (30% saved)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.2b	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
16.0b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
16.0b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
18.6b	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))))

rewrite318.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-exp-log_binary64_10005`
47×	`add-cbrt-cube_binary64_10003`
41×	`sqrt-prod_binary64_9983`
40×	`add-sqr-sqrt_binary64_9989`
36×	`times-frac_binary64_9973` `add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
34×	`prod-exp_binary64_10016`
26×	`div-exp_binary64_10018`
24×	`associate-l_binary64_9908`
18×	`cbrt-unprod_binary64_10000`
14×	`cbrt-undiv_binary64_10001`
13×	`pow1_binary64_10028`
12×	`sqrt-div_binary64_9984`
8×	`sqrt-pow1_binary64_9985`
6×	`associate-/r*_binary64_9911`
5×	`frac-times_binary64_9977` `associate-*r/_binary64_9909`
4×	`flip3-+_binary64_9970` `1-exp_binary64_10011` `pow1/2_binary64_10047` `rec-exp_binary64_10017` `flip-+_binary64_9941` `add-log-exp_binary64_10006` `rem-sqrt-square_binary64_9980` `associate-/r/_binary64_9913`
3×	`associate-l/_binary64_9910` `associate-/l_binary64_9912` `pow-prod-down_binary64_10038`
2×	`div-inv_binary64_9964`
1×	`associate-r_binary64_9907` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

4 → 153

Calls

4 calls:

148.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))))
32.0ms	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
28.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
28.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))

series1.3s (5.6%)

Counts

4 → 12

Calls

4 calls:

873.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))) (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))))
274.0ms	(/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
59.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
56.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))

simplify283.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4991	7546
1	4991	7546

prune1.2s (5.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	166	8	174

Merged error: 0.7b

Counts

174 → 8

Compiler

Compiled 11984 to 8565 computations (28.5% saved)

regimes2.6s (11.6%)

Compiler: Compiled 13116 to 10566 computations (19.4% saved)

bsearch158.0ms (0.7%)

Steps

Iters	Range		Point
8	8513947877296255.0	6.350400256563636e+18	4.0711639696458604e+18
10	-1.6993861828675299e+75	-9.693084429494094e+59	-1.0289473601338113e+60

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	111
1	96	111

end0.0ms (0%)

sample4.4s (19.8%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	128	valid
159.0ms	902×	body	128	invalid

Compiler

Compiled 1812 to 1444 computations (20.3% saved)

Details

analyze3.8s (17%)

sample72.0ms (0.3%)

simplify327.0ms (1.5%)

prune7.0ms (0%)

localize53.0ms (0.2%)

rewrite156.0ms (0.7%)

series1.3s (5.6%)

simplify169.0ms (0.8%)

prune430.0ms (1.9%)

localize54.0ms (0.2%)

rewrite186.0ms (0.8%)

series1.3s (5.6%)

simplify202.0ms (0.9%)

prune498.0ms (2.2%)

localize60.0ms (0.3%)

rewrite280.0ms (1.3%)

series1.6s (6.9%)

simplify262.0ms (1.2%)

prune1.3s (6%)

localize70.0ms (0.3%)

rewrite318.0ms (1.4%)

series1.3s (5.6%)

simplify283.0ms (1.3%)

prune1.2s (5.6%)

regimes2.6s (11.6%)

bsearch158.0ms (0.7%)

simplify7.0ms (0%)

end0.0ms (0%)

sample4.4s (19.8%)

Profiling