Details

analyze2.0s (18.9%)

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)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	26×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify290.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

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: 28.0b

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)
2.0b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
26.8b	(/.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_12485`
15×	`add-exp-log_binary64_12501` `add-cbrt-cube_binary64_12499`
12×	`*-un-lft-identity_binary64_12463` `add-cube-cbrt_binary64_12498`
10×	`pow1_binary64_12524`
9×	`associate-l_binary64_12404` `associate-r_binary64_12403`
5×	`flip3-+_binary64_12466` `flip-+_binary64_12437`
4×	`prod-exp_binary64_12512` `cbrt-unprod_binary64_12496` `associate-l/_binary64_12406` `associate-r/_binary64_12405` `add-log-exp_binary64_12502`
3×	`times-frac_binary64_12469` `unswap-sqr_binary64_12431` `-commutative_binary64_12394` `pow-prod-down_binary64_12534` `associate-/r_binary64_12407`
2×	`cbrt-undiv_binary64_12497` `associate-/r/_binary64_12409` `associate-/l/_binary64_12410` `div-exp_binary64_12514`
1×	`clear-num_binary64_12462` `distribute-rgt-in_binary64_12413` `distribute-lft-in_binary64_12412` `frac-2neg_binary64_12474` `associate-/l*_binary64_12408` `div-inv_binary64_12460`

Counts

4 → 87

Calls

4 calls:

34.0ms	(/.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))
24.0ms	(.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:

895.0ms	(/.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))
323.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
77.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
37.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5136	3033

prune462.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.2b

Counts

100 → 8

Compiler

Compiled 10254 to 7504 computations (26.8% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y b) 4503599627370496/2737158995491925))
0.4b	(.f64 (.f64 y b) 4503599627370496/2737158995491925)

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_12524` `add-exp-log_binary64_12501` `add-cbrt-cube_binary64_12499`
4×	`add-log-exp_binary64_12502`
3×	`prod-exp_binary64_12512` `-un-lft-identity_binary64_12463` `cbrt-unprod_binary64_12496` `add-cube-cbrt_binary64_12498` `pow-prod-down_binary64_12534` `add-sqr-sqrt_binary64_12485` `associate-r*_binary64_12403`
1×	`associate-l_binary64_12404` `*-commutative_binary64_12394` `+-commutative_binary64_12393` `flip3-+_binary64_12466` `sum-log_binary64_12554` `flip-+_binary64_12437`

Counts

2 → 29

Calls

2 calls:

8.0ms	(.f64 (.f64 y b) 4503599627370496/2737158995491925)
4.0ms	(+.f64 x (.f64 (.f64 y b) 4503599627370496/2737158995491925))

series94.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(+.f64 x (.f64 (.f64 y b) 4503599627370496/2737158995491925))
32.0ms	(.f64 (.f64 y b) 4503599627370496/2737158995491925)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4757	381
1	4757	381

prune185.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	34	9	43

Merged error: 0.2b

Counts

43 → 9

Compiler

Compiled 3848 to 3096 computations (19.5% 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))
0.1b	(/.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)))
26.3b	(/.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))

rewrite110.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_12469`
64×	`add-sqr-sqrt_binary64_12485`
60×	`*-un-lft-identity_binary64_12463` `add-cube-cbrt_binary64_12498`
18×	`associate-/r*_binary64_12407`
15×	`add-exp-log_binary64_12501` `add-cbrt-cube_binary64_12499`
11×	`associate-/r/_binary64_12409`
8×	`pow1_binary64_12524` `flip3-+_binary64_12466` `flip-+_binary64_12437`
6×	`associate-l_binary64_12404` `associate-/l_binary64_12408` `associate-r*_binary64_12403` `div-inv_binary64_12460`
4×	`cbrt-undiv_binary64_12497` `associate-*r/_binary64_12405` `add-log-exp_binary64_12502` `div-exp_binary64_12514`
2×	`clear-num_binary64_12462` `prod-exp_binary64_12512` `unswap-sqr_binary64_12431` `cbrt-unprod_binary64_12496` `associate-/l/_binary64_12410` `*-commutative_binary64_12394` `distribute-rgt-in_binary64_12413` `distribute-lft-in_binary64_12412` `pow-prod-down_binary64_12534` `frac-2neg_binary64_12474`

Counts

4 → 153

Calls

4 calls:

33.0ms	(/.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))
30.0ms	(/.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)))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.2s (11.6%)

Counts

4 → 12

Calls

4 calls:

873.0ms	(/.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)))
210.0ms	(/.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))
88.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
37.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4955	9759
1	4955	9759

prune577.0ms (5.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	166	8	174

Merged error: 0.2b

Counts

174 → 8

Compiler

Compiled 10916 to 7413 computations (32.1% saved)

localize30.0ms (0.3%)

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))
0.1b	(/.f64 y (.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))))
26.4b	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))

rewrite113.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_12501`
29×	`add-sqr-sqrt_binary64_12485`
22×	`add-cbrt-cube_binary64_12499`
21×	`associate-r_binary64_12403`
19×	`*-un-lft-identity_binary64_12463`
18×	`add-cube-cbrt_binary64_12498`
14×	`times-frac_binary64_12469`
10×	`prod-exp_binary64_12512` `pow1_binary64_12524`
9×	`associate-l_binary64_12404` `div-exp_binary64_12514`
8×	`associate-/r/_binary64_12409`
7×	`flip3-+_binary64_12466` `flip-+_binary64_12437`
6×	`cbrt-unprod_binary64_12496` `associate-*r/_binary64_12405`
5×	`cbrt-undiv_binary64_12497` `unswap-sqr_binary64_12431`
4×	`associate-*l/_binary64_12406` `frac-times_binary64_12473` `add-log-exp_binary64_12502`
3×	`-commutative_binary64_12394` `pow-prod-down_binary64_12534` `associate-/l_binary64_12408`
2×	`un-div-inv_binary64_12461` `rec-exp_binary64_12513` `distribute-rgt-in_binary64_12413` `distribute-lft-in_binary64_12412` `1-exp_binary64_12507` `div-inv_binary64_12460`
1×	`clear-num_binary64_12462` `frac-2neg_binary64_12474` `associate-/r*_binary64_12407`

Counts

4 → 117

Calls

4 calls:

36.0ms	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
34.0ms	(/.f64 y (.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.2s (11.2%)

Counts

4 → 12

Calls

4 calls:

858.0ms	(/.f64 y (.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))))
199.0ms	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
82.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
37.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4998	4852
1	4998	4852

prune289.0ms (2.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	129	8	137

Merged error: 0.2b

Counts

137 → 8

Compiler

Compiled 6192 to 4170 computations (32.7% saved)

regimes468.0ms (4.5%)

Compiler: Compiled 2468 to 2094 computations (15.2% saved)

bsearch44.0ms (0.4%)

Steps

Iters	Range		Point
0	1.824281583270352e+58	1.8906947144529844e+58	1.857488148861668e+58
9	-1.2109578891789907e+27	-7.748417611134064e+21	-9.95756644477991e+25

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	71	91
1	71	91

end0.0ms (0%)

sample1.5s (14%)

Algorithm

1×

intervals

Results

728.0ms	8000×	body	128	valid
78.0ms	831×	body	128	invalid

Compiler

Compiled 467 to 377 computations (19.3% saved)

Details

analyze2.0s (18.9%)

sample39.0ms (0.4%)

simplify290.0ms (2.8%)

prune4.0ms (0%)

localize25.0ms (0.2%)

rewrite90.0ms (0.9%)

series1.3s (12.7%)

simplify87.0ms (0.8%)

prune462.0ms (4.4%)

localize5.0ms (0%)

rewrite13.0ms (0.1%)

series94.0ms (0.9%)

simplify97.0ms (0.9%)

prune185.0ms (1.8%)

localize25.0ms (0.2%)

rewrite110.0ms (1.1%)

series1.2s (11.6%)

simplify137.0ms (1.3%)

prune577.0ms (5.5%)

localize30.0ms (0.3%)

rewrite113.0ms (1.1%)

series1.2s (11.2%)

simplify115.0ms (1.1%)

prune289.0ms (2.8%)

regimes468.0ms (4.5%)

bsearch44.0ms (0.4%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (14%)

Profiling