Details

analyze1.9s (18.5%)

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)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	19×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify276.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4971	55
1	4971	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: 27.7b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize25.0ms (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)
3.1b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
26.3b	(/.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))

rewrite90.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_13578`
15×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
12×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
10×	`pow1_binary64_13615`
9×	`associate-l_binary64_13500` `associate-r_binary64_13499`
5×	`flip3-+_binary64_13560` `flip-+_binary64_13531`
4×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `associate-r/_binary64_13501` `add-log-exp_binary64_13593` `associate-l/_binary64_13502`
3×	`times-frac_binary64_13563` `-commutative_binary64_13490` `associate-/r_binary64_13503` `unswap-sqr_binary64_13525` `pow-prod-down_binary64_13625`
2×	`cbrt-undiv_binary64_13588` `associate-/l/_binary64_13506` `div-exp_binary64_13605` `associate-/r/_binary64_13505`
1×	`clear-num_binary64_13556` `distribute-lft-in_binary64_13508` `distribute-rgt-in_binary64_13509` `div-inv_binary64_13554` `frac-2neg_binary64_13568` `associate-/l*_binary64_13504`

Counts

4 → 87

Calls

4 calls:

35.0ms	(/.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))
23.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series1.3s (12.7%)

Counts

4 → 12

Calls

4 calls:

881.0ms	(/.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))
317.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
75.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
39.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5121	3027

prune245.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.9b

Counts

100 → 9

Compiler

Compiled 4945 to 3332 computations (32.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 y b) 4503599627370496/2737158995491925)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_13615` `add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
3×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `pow-prod-down_binary64_13625` `associate-r_binary64_13499`
2×	`add-sqr-sqrt_binary64_13578` `add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
1×	`-commutative_binary64_13490` `add-log-exp_binary64_13593` `associate-l*_binary64_13500`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 y b) 4503599627370496/2737158995491925)

series30.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

30.0ms

(*.f64 (*.f64 y b) 4503599627370496/2737158995491925)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4922	179
1	4922	179

prune36.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	21	9	30

Merged error: 0.9b

Counts

30 → 9

Compiler

Compiled 601 to 435 computations (27.6% saved)

localize25.0ms (0.2%)

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))
0.4b	(.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)))
25.3b	(/.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))

rewrite108.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_13578`
24×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
21×	`associate-r_binary64_13499`
19×	`times-frac_binary64_13563`
15×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
10×	`pow1_binary64_13615`
9×	`associate-l_binary64_13500`
5×	`associate-*r/_binary64_13501` `flip3-+_binary64_13560` `flip-+_binary64_13531`
4×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `unswap-sqr_binary64_13525` `add-log-exp_binary64_13593` `associate-/r/_binary64_13505`
3×	`-commutative_binary64_13490` `associate-/r_binary64_13503` `pow-prod-down_binary64_13625` `associate-/l*_binary64_13504`
2×	`cbrt-undiv_binary64_13588` `associate-/l/_binary64_13506` `distribute-lft-in_binary64_13508` `div-exp_binary64_13605` `distribute-rgt-in_binary64_13509` `div-inv_binary64_13554`
1×	`clear-num_binary64_13556` `frac-2neg_binary64_13568`

Counts

4 → 109

Calls

4 calls:

37.0ms	(.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)))
33.0ms	(/.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))
13.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.3s (12.5%)

Counts

4 → 12

Calls

4 calls:

864.0ms	(.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)))
297.0ms	(/.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))
86.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
34.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5029	4972

prune311.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	120	10	130

Merged error: 0.9b

Counts

130 → 10

Compiler

Compiled 6563 to 4435 computations (32.4% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)
0.4b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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)))
6.0b	(/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
25.3b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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))

rewrite124.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_13578`
24×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
22×	`times-frac_binary64_13563`
18×	`add-cbrt-cube_binary64_13590` `associate-r_binary64_13499` `add-exp-log_binary64_13592`
8×	`pow1_binary64_13615`
6×	`associate-/r_binary64_13503` `associate-l*_binary64_13500` `associate-/r/_binary64_13505`
4×	`cbrt-undiv_binary64_13588` `prod-exp_binary64_13603` `associate-/l/_binary64_13506` `cbrt-unprod_binary64_13587` `div-exp_binary64_13605` `flip3-+_binary64_13560` `flip-+_binary64_13531` `associate-/l*_binary64_13504` `add-log-exp_binary64_13593`
3×	`associate-*r/_binary64_13501` `div-inv_binary64_13554` `unswap-sqr_binary64_13525`
2×	`clear-num_binary64_13556` `*-commutative_binary64_13490` `pow-prod-down_binary64_13625` `frac-2neg_binary64_13568`
1×	`flip3--_binary64_13561` `flip--_binary64_13532`

Counts

4 → 108

Calls

4 calls:

45.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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)))
40.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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))
15.0ms	(/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
4.0ms	(*.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)

series1.8s (17%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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)))
386.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.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))
185.0ms	(/.f64 (.f64 z (+.f64 (.f64 z (.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)) -9879466463107735906625591658289/79228162514264337593543950336)) (-.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
25.0ms	(*.f64 49695405529345871339347892886361/5070602400912917605986812821504 z)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6516	5868

prune362.0ms (3.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	120	10	130

Merged error: 0.9b

Counts

130 → 10

Compiler

Compiled 7212 to 4928 computations (31.7% saved)

regimes389.0ms (3.8%)

Compiler: Compiled 2562 to 2142 computations (16.4% saved)

bsearch62.0ms (0.6%)

Steps

Iters	Range		Point
10	0.005720327952393748	179114214902.26746	176105132395.4339
2	-1.2066434330207161e+33	-1.0829475380800582e+33	-1.1911814461531339e+33

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	112	123
1	112	123

end0.0ms (0%)

sample1.5s (14.5%)

Algorithm

1×

intervals

Results

705.0ms	8000×	body	128	valid
73.0ms	837×	body	128	invalid

Compiler

Compiled 625 to 498 computations (20.3% saved)

Details

analyze1.9s (18.5%)

sample37.0ms (0.4%)

simplify276.0ms (2.7%)

prune4.0ms (0%)

localize25.0ms (0.2%)

rewrite90.0ms (0.9%)

series1.3s (12.7%)

simplify100.0ms (1%)

prune245.0ms (2.4%)

localize5.0ms (0.1%)

rewrite7.0ms (0.1%)

series30.0ms (0.3%)

simplify58.0ms (0.6%)

prune36.0ms (0.3%)

localize25.0ms (0.2%)

rewrite108.0ms (1.1%)

series1.3s (12.5%)

simplify120.0ms (1.2%)

prune311.0ms (3%)

localize30.0ms (0.3%)

rewrite124.0ms (1.2%)

series1.8s (17%)

simplify103.0ms (1%)

prune362.0ms (3.5%)

regimes389.0ms (3.8%)

bsearch62.0ms (0.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.5s (14.5%)

Profiling