Details

analyze2.0s (11.6%)

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)

sample46.0ms (0.3%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	32×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify180.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4955	55
1	4955	55

prune4.0ms (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: 29.0b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize24.0ms (0.1%)

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)
3.1b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
27.5b	(/.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))

rewrite82.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_10330`
15×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
12×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
10×	`pow1_binary64_10369`
9×	`associate-r_binary64_10248` `associate-l_binary64_10249`
5×	`flip-+_binary64_10282` `flip3-+_binary64_10311`
4×	`cbrt-unprod_binary64_10341` `associate-r/_binary64_10250` `prod-exp_binary64_10357` `add-log-exp_binary64_10347` `associate-l/_binary64_10251`
3×	`associate-/r_binary64_10252` `pow-prod-down_binary64_10379` `times-frac_binary64_10314` `-commutative_binary64_10239` `unswap-sqr_binary64_10276`
2×	`associate-/l/_binary64_10255` `div-exp_binary64_10359` `associate-/r/_binary64_10254` `cbrt-undiv_binary64_10342`
1×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `associate-/l*_binary64_10253` `clear-num_binary64_10307` `div-inv_binary64_10305` `frac-2neg_binary64_10319`

Counts

4 → 87

Calls

4 calls:

33.0ms	(/.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))
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
7.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series2.7s (15.3%)

Counts

4 → 68

Calls

4 calls:

1.9s	(/.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))
687.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
103.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
28.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 6010 to 4985 computations (17.1% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5120	6527

prune410.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	9	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	9	156

Merged error: 0.9b

Counts

156 → 9

Compiler

Compiled 7828 to 5107 computations (34.8% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 y 7049496828096731/2251799813685248))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_10347`
1×	`sum-log_binary64_10399` `flip-+_binary64_10282` `+-commutative_binary64_10238` `pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `add-exp-log_binary64_10346` `flip3-+_binary64_10311` `*-un-lft-identity_binary64_10308`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+.f64 x (*.f64 y 7049496828096731/2251799813685248))

series57.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

57.0ms

(+.f64 x (*.f64 y 7049496828096731/2251799813685248))

Compiler

Compiled 92 to 170 computations (-84.8% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4818	205
1	4818	205

prune28.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	22	10	32

Merged error: 0.9b

Counts

32 → 10

Compiler

Compiled 431 to 347 computations (19.5% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
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)))
25.6b	(/.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))

rewrite95.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_10330`
24×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
21×	`associate-r_binary64_10248`
19×	`times-frac_binary64_10314`
15×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
10×	`pow1_binary64_10369`
9×	`associate-l_binary64_10249`
5×	`associate-*r/_binary64_10250` `flip-+_binary64_10282` `flip3-+_binary64_10311`
4×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `add-log-exp_binary64_10347` `associate-/r/_binary64_10254` `unswap-sqr_binary64_10276`
3×	`associate-/r_binary64_10252` `associate-/l_binary64_10253` `pow-prod-down_binary64_10379` `*-commutative_binary64_10239`
2×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `associate-/l/_binary64_10255` `div-exp_binary64_10359` `div-inv_binary64_10305` `cbrt-undiv_binary64_10342`
1×	`clear-num_binary64_10307` `frac-2neg_binary64_10319`

Counts

4 → 109

Calls

4 calls:

31.0ms	(/.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))
29.0ms	(.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)))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
7.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series3.4s (19.3%)

Counts

4 → 69

Calls

4 calls:

1.9s	(.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)))
1.4s	(/.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))
100.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
40.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

Compiler

Compiled 7393 to 6206 computations (16.1% saved)

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4950	10203
1	4950	10203

prune582.0ms (3.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	178	10	188

Merged error: 0.9b

Counts

188 → 10

Compiler

Compiled 10277 to 6863 computations (33.2% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.3b	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
17.3b	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
17.3b	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
23.9b	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (cbrt.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) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))

rewrite144.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_10330`
28×	`times-frac_binary64_10314`
25×	`add-exp-log_binary64_10346`
24×	`associate-r_binary64_10248`
22×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
20×	`cbrt-prod_binary64_10339` `cbrt-div_binary64_10340`
18×	`add-cbrt-cube_binary64_10344`
15×	`associate-l_binary64_10249`
10×	`flip-+_binary64_10282` `associate-/r/_binary64_10254` `flip3-+_binary64_10311`
8×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357`
7×	`div-exp_binary64_10359` `cbrt-undiv_binary64_10342`
6×	`pow1_binary64_10369` `unswap-sqr_binary64_10276`
5×	`frac-times_binary64_10318`
4×	`add-log-exp_binary64_10347`
3×	`associate-r/_binary64_10250` `pow1/3_binary64_10390` `associate-l/_binary64_10251`
2×	`div-inv_binary64_10305`
1×	`pow-prod-down_binary64_10379` `*-commutative_binary64_10239`

Counts

4 → 108

Calls

4 calls:

69.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (cbrt.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) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
21.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
13.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
13.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

series2.2s (12.7%)

Counts

4 → 65

Calls

4 calls:

1.9s	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)) (cbrt.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) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
101.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
100.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
98.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

Compiler

Compiled 6179 to 5108 computations (17.3% saved)

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	11987
1	4967	11987

prune875.0ms (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	173	10	183

Merged error: 0.9b

Counts

183 → 10

Compiler

Compiled 14227 to 10012 computations (29.6% saved)

regimes1.6s (9.2%)

Compiler: Compiled 13947 to 11444 computations (17.9% saved)

bsearch65.0ms (0.4%)

Steps

Iters	Range		Point
7	1.0442384995658399e+53	1.7621644114893634e+55	1.1535766513089016e+54
7	-2.9551557316579403e+66	-1.8133473806702077e+64	-3.2762353854284784e+65

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	76
1	61	76

end0.0ms (0%)

sample2.4s (13.8%)

Algorithm

1×

intervals

Results

760.0ms	8000×	body	128	valid
88.0ms	905×	body	128	invalid

Compiler

Compiled 1878 to 1527 computations (18.7% saved)

Details

analyze2.0s (11.6%)

sample46.0ms (0.3%)

simplify180.0ms (1%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite82.0ms (0.5%)

series2.7s (15.3%)

simplify99.0ms (0.6%)

prune410.0ms (2.3%)

localize4.0ms (0%)

rewrite3.0ms (0%)

series57.0ms (0.3%)

simplify124.0ms (0.7%)

prune28.0ms (0.2%)

localize24.0ms (0.1%)

rewrite95.0ms (0.5%)

series3.4s (19.3%)

simplify140.0ms (0.8%)

prune582.0ms (3.3%)

localize38.0ms (0.2%)

rewrite144.0ms (0.8%)

series2.2s (12.7%)

simplify163.0ms (0.9%)

prune875.0ms (5%)

regimes1.6s (9.2%)

bsearch65.0ms (0.4%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (13.8%)

Profiling