Details

analyze4.1s (23.5%)

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)

sample74.0ms (0.4%)

Algorithm

1×

intervals

Results

44.0ms	256×	body	128	valid
5.0ms	29×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify505.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (209.0ms)

Iter	Nodes	Cost
0	4971	55
1	4971	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: 29.9b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize51.0ms (0.3%)

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)
2.7b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
28.9b	(/.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))

rewrite164.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11556`
15×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
12×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
10×	`pow1_binary64_11593`
9×	`associate-l_binary64_11478` `associate-r_binary64_11477`
5×	`flip-+_binary64_11509` `flip3-+_binary64_11538`
4×	`associate-r/_binary64_11479` `associate-l/_binary64_11480` `cbrt-unprod_binary64_11565` `prod-exp_binary64_11581` `add-log-exp_binary64_11571`
3×	`unswap-sqr_binary64_11503` `times-frac_binary64_11541` `-commutative_binary64_11468` `associate-/r_binary64_11481` `pow-prod-down_binary64_11603`
2×	`cbrt-undiv_binary64_11566` `div-exp_binary64_11583` `associate-/r/_binary64_11483` `associate-/l/_binary64_11484`
1×	`div-inv_binary64_11532` `clear-num_binary64_11534` `distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487` `associate-/l*_binary64_11482` `frac-2neg_binary64_11546`

Counts

4 → 87

Calls

4 calls:

68.0ms	(/.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))
35.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
23.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
15.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series2.4s (13.8%)

Counts

4 → 12

Calls

4 calls:

1.6s	(/.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))
611.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
153.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
75.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify188.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5121	3027

prune440.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 0.5b

Counts

100 → 7

Compiler

Compiled 4831 to 3239 computations (33% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

0.0b

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

2.1b

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

rewrite67.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_11556`
15×	`*-un-lft-identity_binary64_11535`
13×	`associate-l_binary64_11478`
11×	`add-cube-cbrt_binary64_11567`
10×	`times-frac_binary64_11541`
8×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
7×	`add-log-exp_binary64_11571`
5×	`pow1_binary64_11593`
4×	`associate-r_binary64_11477` `flip-+_binary64_11509` `flip3-+_binary64_11538`
2×	`associate-*r/_binary64_11479` `unswap-sqr_binary64_11503` `distribute-lft-out_binary64_11488` `associate-+r+_binary64_11469` `+-commutative_binary64_11467` `cbrt-unprod_binary64_11565` `sum-log_binary64_11623` `distribute-lft-in_binary64_11486` `prod-exp_binary64_11581` `frac-times_binary64_11545` `distribute-rgt-in_binary64_11487`
1×	`associate-l/_binary64_11480` `div-inv_binary64_11532` `cbrt-undiv_binary64_11566` `div-exp_binary64_11583` `-commutative_binary64_11468` `pow-prod-down_binary64_11603`

Counts

3 → 64

Calls

3 calls:

27.0ms

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

16.0ms

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

12.0ms

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

series361.0ms (2%)

Counts

3 → 9

Calls

3 calls:

183.0ms

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

142.0ms

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

36.0ms

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5320	1246

prune152.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.5b

Counts

80 → 7

Compiler

Compiled 1815 to 979 computations (46.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.7b	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688) (/.f64 (cbrt.f64 y) z)))

rewrite72.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-exp-log_binary64_11570`
31×	`add-cbrt-cube_binary64_11568` `prod-exp_binary64_11581`
18×	`cbrt-unprod_binary64_11565`
17×	`div-exp_binary64_11583`
9×	`cbrt-prod_binary64_11563` `add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535` `cbrt-undiv_binary64_11566` `pow1_binary64_11593` `add-sqr-sqrt_binary64_11556` `frac-times_binary64_11545`
7×	`associate-l_binary64_11478` `associate-*r/_binary64_11479`
6×	`1-exp_binary64_11576`
5×	`associate-*l/_binary64_11480`
4×	`flip-+_binary64_11509` `add-log-exp_binary64_11571` `flip3-+_binary64_11538`
3×	`times-frac_binary64_11541` `pow1/3_binary64_11614` `pow-prod-down_binary64_11603`
1×	`div-inv_binary64_11532` `-commutative_binary64_11468` `associate-r*_binary64_11477`

Counts

4 → 86

Calls

4 calls:

43.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688) (/.f64 (cbrt.f64 y) z)))
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series1.1s (6.5%)

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt.f64 y)
287.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688) (/.f64 (cbrt.f64 y) z)))
284.0ms	(cbrt.f64 y)
280.0ms	(cbrt.f64 y)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4941	1165
1	4941	1165

prune219.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	98	7	105

Merged error: 0.5b

Counts

105 → 7

Compiler

Compiled 2565 to 1385 computations (46% saved)

localize59.0ms (0.3%)

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))
0.1b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
28.1b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

rewrite227.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_11541`
64×	`add-sqr-sqrt_binary64_11556`
60×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
18×	`associate-/r*_binary64_11481`
15×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
11×	`associate-/r/_binary64_11483`
8×	`pow1_binary64_11593` `flip-+_binary64_11509` `flip3-+_binary64_11538`
6×	`associate-l_binary64_11478` `div-inv_binary64_11532` `associate-r_binary64_11477` `associate-/l*_binary64_11482`
4×	`associate-*r/_binary64_11479` `cbrt-undiv_binary64_11566` `div-exp_binary64_11583` `add-log-exp_binary64_11571`
2×	`unswap-sqr_binary64_11503` `clear-num_binary64_11534` `cbrt-unprod_binary64_11565` `associate-/l/_binary64_11484` `*-commutative_binary64_11468` `distribute-lft-in_binary64_11486` `prod-exp_binary64_11581` `distribute-rgt-in_binary64_11487` `frac-2neg_binary64_11546` `pow-prod-down_binary64_11603`

Counts

4 → 153

Calls

4 calls:

61.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))
59.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
30.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a))
15.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series2.2s (12.5%)

Counts

4 → 12

Calls

4 calls:

1.6s	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
361.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))
142.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
119.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a))

simplify271.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4963	9894
1	4963	9894

prune859.0ms (4.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	165	7	172

Merged error: 0.5b

Counts

172 → 7

Compiler

Compiled 9450 to 6218 computations (34.2% saved)

regimes905.0ms (5.1%)

Compiler: Compiled 2652 to 2206 computations (16.8% saved)

bsearch3.0ms (0%)

Compiler: Compiled 35 to 29 computations (17.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	134
1	65	134

end0.0ms (0%)

sample2.8s (15.9%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	128	valid
153.0ms	905×	body	128	invalid

Compiler

Compiled 519 to 410 computations (21% saved)

Details

analyze4.1s (23.5%)

sample74.0ms (0.4%)

simplify505.0ms (2.9%)

prune7.0ms (0%)

localize51.0ms (0.3%)

rewrite164.0ms (0.9%)

series2.4s (13.8%)

simplify188.0ms (1.1%)

prune440.0ms (2.5%)

localize21.0ms (0.1%)

rewrite67.0ms (0.4%)

series361.0ms (2%)

simplify111.0ms (0.6%)

prune152.0ms (0.9%)

localize33.0ms (0.2%)

rewrite72.0ms (0.4%)

series1.1s (6.5%)

simplify125.0ms (0.7%)

prune219.0ms (1.2%)

localize59.0ms (0.3%)

rewrite227.0ms (1.3%)

series2.2s (12.5%)

simplify271.0ms (1.5%)

prune859.0ms (4.9%)

regimes905.0ms (5.1%)

bsearch3.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.8s (15.9%)

Profiling