Details

analyze2.1s (24.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5057	880
0	6	6
1	6	6

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
3.0ms	30×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

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

Error

32.0b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize24.0ms (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)
2.2b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
30.3b	(/.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))

rewrite86.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_8284`
15×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
12×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
10×	`pow1_binary64_8323`
9×	`associate-l_binary64_8203` `associate-r_binary64_8202`
5×	`flip-+_binary64_8236` `flip3-+_binary64_8265`
4×	`associate-r/_binary64_8204` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `associate-l/_binary64_8205` `add-log-exp_binary64_8301`
3×	`times-frac_binary64_8268` `associate-/r_binary64_8206` `unswap-sqr_binary64_8230` `pow-prod-down_binary64_8333` `-commutative_binary64_8193`
2×	`associate-/l/_binary64_8209` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313` `associate-/r/_binary64_8208`
1×	`distribute-rgt-in_binary64_8212` `associate-/l*_binary64_8207` `frac-2neg_binary64_8273` `div-inv_binary64_8259` `distribute-lft-in_binary64_8211` `clear-num_binary64_8261`

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))
19.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series721.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

494.0ms	(/.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))
169.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
35.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
22.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5121	3033

prune236.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Error

0.5b

Counts

100 → 8

Compiler

Compiled 4862 to 3268 computations (32.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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)
0.0b	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))
1.3b	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_8262`
17×	`add-sqr-sqrt_binary64_8284`
13×	`associate-l_binary64_8203` `add-log-exp_binary64_8301`
12×	`add-cube-cbrt_binary64_8297`
10×	`times-frac_binary64_8268`
9×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
6×	`pow1_binary64_8323`
5×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `sum-log_binary64_8353`
4×	`associate-r_binary64_8202`
3×	`+-commutative_binary64_8192` `distribute-lft-out_binary64_8213` `associate-+r+_binary64_8194`
2×	`distribute-rgt-in_binary64_8212` `associate-*r/_binary64_8204` `prod-exp_binary64_8311` `unswap-sqr_binary64_8230` `frac-times_binary64_8272` `cbrt-unprod_binary64_8295` `distribute-lft-in_binary64_8211`
1×	`div-inv_binary64_8259` `pow-prod-down_binary64_8333` `associate-l/_binary64_8205` `-commutative_binary64_8193` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313`

Counts

4 → 78

Calls

4 calls:

14.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))
8.0ms	(+.f64 x (+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))))
8.0ms	(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)
6.0ms	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

series166.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(+.f64 x (+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))))
44.0ms	(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))
38.0ms	(+.f64 (.f64 y 7049496828096731/2251799813685248) (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))
11.0ms	(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5002	1711

prune103.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Error

0.2b

Counts

98 → 9

Compiler

Compiled 2279 to 1233 computations (45.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 t (*.f64 z z)) 7049496828096731/2251799813685248)
0.0b	(+.f64 (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)) x)
2.6b	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
6.4b	(/.f64 t (*.f64 z z))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_8262`
11×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
10×	`add-sqr-sqrt_binary64_8284`
8×	`add-log-exp_binary64_8301` `add-cube-cbrt_binary64_8297`
6×	`pow1_binary64_8323`
4×	`associate-r_binary64_8202`
3×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `associate-/l_binary64_8207` `times-frac_binary64_8268` `associate-l*_binary64_8203`
2×	`distribute-rgt-in_binary64_8212` `associate-*r/_binary64_8204` `prod-exp_binary64_8311` `+-commutative_binary64_8192` `distribute-lft-out_binary64_8213` `cbrt-unprod_binary64_8295` `distribute-lft-in_binary64_8211` `sum-log_binary64_8353` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313` `associate-+l+_binary64_8195`
1×	`frac-2neg_binary64_8273` `associate-/r_binary64_8206` `div-inv_binary64_8259` `unswap-sqr_binary64_8230` `pow-prod-down_binary64_8333` `-commutative_binary64_8193` `clear-num_binary64_8261`

Counts

4 → 69

Calls

4 calls:

11.0ms	(+.f64 (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)) x)
10.0ms	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
7.0ms	(+.f64 (/.f64 t (*.f64 z z)) 7049496828096731/2251799813685248)
5.0ms	(/.f64 t (*.f64 z z))

series131.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+.f64 (.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248)) x)
44.0ms	(.f64 y (+.f64 (/.f64 t (.f64 z z)) 7049496828096731/2251799813685248))
21.0ms	(+.f64 (/.f64 t (*.f64 z z)) 7049496828096731/2251799813685248)
18.0ms	(/.f64 t (*.f64 z z))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	1157
1	4964	1157

prune77.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	81	9	90

Error

0.2b

Counts

90 → 9

Compiler

Compiled 1634 to 823 computations (49.6% saved)

localize25.0ms (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 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
29.0b	(/.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))

rewrite106.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_8268`
64×	`add-sqr-sqrt_binary64_8284`
60×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
18×	`associate-/r*_binary64_8206`
15×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
11×	`associate-/r/_binary64_8208`
8×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `pow1_binary64_8323`
6×	`associate-/l_binary64_8207` `div-inv_binary64_8259` `associate-l_binary64_8203` `associate-r*_binary64_8202`
4×	`associate-*r/_binary64_8204` `add-log-exp_binary64_8301` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313`
2×	`distribute-rgt-in_binary64_8212` `prod-exp_binary64_8311` `frac-2neg_binary64_8273` `associate-/l/_binary64_8209` `unswap-sqr_binary64_8230` `cbrt-unprod_binary64_8295` `distribute-lft-in_binary64_8211` `pow-prod-down_binary64_8333` `*-commutative_binary64_8193` `clear-num_binary64_8261`

Counts

4 → 153

Calls

4 calls:

30.0ms	(/.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))
29.0ms	(/.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)))
11.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
11.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series661.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

479.0ms	(/.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)))
119.0ms	(/.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))
39.0ms	(.f64 z (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
23.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify168.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4933	9759
1	4933	9759

prune504.0ms (5.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	165	9	174

Error

0.2b

Counts

174 → 9

Compiler

Compiled 9420 to 6204 computations (34.1% saved)

regimes1.2s (13.1%)

Accuracy

Total 0.6b remaining (58.3%)

Threshold costs 0.6b (58.3%)

Compiler

Compiled 8940 to 7238 computations (19% saved)

bsearch84.0ms (0.9%)

Steps

Iters	Range		Point
10	1.8585393860521568e+39	2.9933375331672517e+54	5.0233474971167534e+42
9	-4.420835013575527e+37	-6.828692433609601e+28	-1.9229251561691995e+37

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	75	105
1	75	105

end0.0ms (0%)

sample2.0s (22.5%)

Algorithm

1×

intervals

Results

723.0ms	8000×	body	128	valid
82.0ms	919×	body	128	invalid

Compiler

Compiled 1286 to 1025 computations (20.3% saved)

Details

analyze2.1s (24.1%)

sample39.0ms (0.4%)

simplify97.0ms (1.1%)

prune4.0ms (0%)

localize24.0ms (0.3%)

rewrite86.0ms (1%)

series721.0ms (8.1%)

simplify95.0ms (1.1%)

prune236.0ms (2.7%)

localize12.0ms (0.1%)

rewrite42.0ms (0.5%)

series166.0ms (1.9%)

simplify67.0ms (0.8%)

prune103.0ms (1.2%)

localize8.0ms (0.1%)

rewrite38.0ms (0.4%)

series131.0ms (1.5%)

simplify74.0ms (0.8%)

prune77.0ms (0.9%)

localize25.0ms (0.3%)

rewrite106.0ms (1.2%)

series661.0ms (7.4%)

simplify168.0ms (1.9%)

prune504.0ms (5.7%)

regimes1.2s (13.1%)

bsearch84.0ms (0.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (22.5%)

Profiling