Details

analyze2.1s (33.1%)

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 (0.6%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	80	valid
2.0ms	25×	body	80	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify135.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4912	55
1	4912	55

prune8.0ms (0.1%)

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: 30.7b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize27.0ms (0.4%)

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)
2.4b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
29.0b	(/.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))

rewrite71.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

32.0ms	(/.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))
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series227.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(/.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))
55.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
6.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
6.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4949	3033
1	4949	3033

prune189.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

Compiler

Compiled 4785 to 3208 computations (33% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))
0.0b	(+.f64 x (+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))))
0.0b	(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)
1.5b	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`add-log-exp_binary64` `associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `sum-log_binary64`
4×	`associate-r_binary64`
3×	`distribute-lft-out_binary64` `+-commutative_binary64` `associate-+r+_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

12.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))
7.0ms	(+.f64 x (+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))))
7.0ms	(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)
6.0ms	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

series47.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 x (+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))))
12.0ms	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))
11.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))
3.0ms	(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5020	1711

prune91.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Merged error: 0b

Counts

96 → 8

Compiler

Compiled 2186 to 1175 computations (46.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4924	179
1	4924	179

prune42.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	21	8	29

Merged error: 0b

Counts

29 → 8

Compiler

Compiled 451 to 323 computations (28.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)))
4.3b	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
7.4b	(/.f64 t (*.f64 z z))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

10.0ms	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
5.0ms	(/.f64 t (*.f64 z z))
4.0ms	(+.f64 x (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)))

series37.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 x (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)))
14.0ms	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
6.0ms	(/.f64 t (*.f64 z z))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5176	942

prune42.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	66	8	74

Merged error: 0b

Counts

74 → 8

Compiler

Compiled 1051 to 469 computations (55.4% saved)

regimes683.0ms (10.5%)

Compiler: Compiled 1590 to 1416 computations (10.9% saved)

bsearch49.0ms (0.8%)

Steps

Iters	Range		Point
8	1.696732481463478e+41	1.5470276733367035e+44	9.502591006598237e+43
5	-5.2040425676198624e+38	-1.6275734504117142e+38	-5.118114503488741e+38

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	91
1	70	91

end0.0ms (0%)

sample2.2s (34%)

Algorithm

1×

intervals

Results

691.0ms	8000×	body	80	valid
80.0ms	902×	body	80	invalid

Compiler

Compiled 441 to 363 computations (17.7% saved)

Details

analyze2.1s (33.1%)

sample39.0ms (0.6%)

simplify135.0ms (2.1%)

prune8.0ms (0.1%)

localize27.0ms (0.4%)

rewrite71.0ms (1.1%)

series227.0ms (3.5%)

simplify110.0ms (1.7%)

prune189.0ms (2.9%)

localize12.0ms (0.2%)

rewrite34.0ms (0.5%)

series47.0ms (0.7%)

simplify61.0ms (0.9%)

prune91.0ms (1.4%)

localize5.0ms (0.1%)

rewrite6.0ms (0.1%)

series4.0ms (0.1%)

simplify97.0ms (1.5%)

prune42.0ms (0.7%)

localize8.0ms (0.1%)

rewrite21.0ms (0.3%)

series37.0ms (0.6%)

simplify90.0ms (1.4%)

prune42.0ms (0.6%)

regimes683.0ms (10.5%)

bsearch49.0ms (0.8%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (34%)

Profiling