Details

analyze2.2s (10.3%)

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)

sample44.0ms (0.2%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	28×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4955	55
1	4955	55

prune5.0ms (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

31.2b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize31.0ms (0.1%)

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)
3.3b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
29.9b	(/.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))

rewrite395.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

18×	`add-sqr-sqrt_binary64_11694`
15×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
12×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
10×	`pow1_binary64_11733`
9×	`associate-l_binary64_11613` `associate-r_binary64_11612`
5×	`flip3-+_binary64_11675` `flip-+_binary64_11646`
4×	`prod-exp_binary64_11721` `add-log-exp_binary64_11711` `cbrt-unprod_binary64_11705` `associate-r/_binary64_11614` `associate-l/_binary64_11615`
3×	`times-frac_binary64_11678` `associate-/r_binary64_11616` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `-commutative_binary64_11603`
2×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `associate-/l/_binary64_11619` `associate-/r/_binary64_11618`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `associate-/l*_binary64_11617` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`

Counts

4 → 87

Calls

4 calls:

31.0ms	(/.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))
20.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 4600 to 3049 computations (33.7% saved)

series4.4s (20.3%)

Error

1.0b

Counts

4 → 87

Calls

4 calls:

2.8s	(/.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))
1.0s	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
261.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
79.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 10701 to 8254 computations (22.9% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4964	7020
1	4964	7020

prune604.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	167	7	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	7	175

Error

0.0b

Counts

175 → 7

Compiler

Compiled 8552 to 5503 computations (35.7% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 7049496828096731/2251799813685248 y))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_11711`
1×	`sum-log_binary64_11763` `pow1_binary64_11733` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `flip3-+_binary64_11675` `*-un-lft-identity_binary64_11672` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+.f64 x (*.f64 7049496828096731/2251799813685248 y))

Compiler

Compiled 136 to 99 computations (27.2% saved)

series93.0ms (0.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

86.0ms

(+.f64 x (*.f64 7049496828096731/2251799813685248 y))

Compiler

Compiled 114 to 180 computations (-57.9% saved)

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4817	193
1	4817	193

prune30.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Error

0.0b

Counts

30 → 7

Compiler

Compiled 476 to 354 computations (25.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 4503599627370496/2737158995491925 (.f64 a (*.f64 z y)))
1.2b	(+.f64 (.f64 4503599627370496/2737158995491925 (.f64 a (.f64 z y))) (.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (.f64 z 242173807688031823959482334969856/7492039366602363902472740205625))))
2.1b	(.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (*.f64 z 242173807688031823959482334969856/7492039366602363902472740205625)))
5.5b	(.f64 a (.f64 z y))

rewrite153.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_11733` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
12×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
7×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `-un-lft-identity_binary64_11672` `associate-l*_binary64_11613`
6×	`add-log-exp_binary64_11711`
5×	`associate-r_binary64_11612`
4×	`sub-neg_binary64_11665` `distribute-rgt-in_binary64_11622` `cancel-sign-sub-inv_binary64_11638` `distribute-lft-in_binary64_11621` `associate-+r+_binary64_11604`
3×	`*-commutative_binary64_11603`
2×	`associate-*r/_binary64_11614`
1×	`flip3--_binary64_11676` `flip--_binary64_11647` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (.f64 4503599627370496/2737158995491925 (.f64 a (.f64 z y))) (.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (.f64 z 242173807688031823959482334969856/7492039366602363902472740205625))))
7.0ms	(.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (*.f64 z 242173807688031823959482334969856/7492039366602363902472740205625)))
7.0ms	(.f64 4503599627370496/2737158995491925 (.f64 a (*.f64 z y)))
5.0ms	(.f64 a (.f64 z y))

Compiler

Compiled 2129 to 1093 computations (48.7% saved)

series1.3s (5.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

652.0ms	(+.f64 (.f64 4503599627370496/2737158995491925 (.f64 a (.f64 z y))) (.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (.f64 z 242173807688031823959482334969856/7492039366602363902472740205625))))
244.0ms	(.f64 (.f64 b y) (-.f64 4503599627370496/2737158995491925 (*.f64 z 242173807688031823959482334969856/7492039366602363902472740205625)))
168.0ms	(.f64 4503599627370496/2737158995491925 (.f64 a (*.f64 z y)))
135.0ms	(.f64 a (.f64 z y))

Compiler

Compiled 2701 to 2042 computations (24.4% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4964	1861
1	4964	1861

prune177.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Error

0.0b

Counts

136 → 7

Compiler

Compiled 3031 to 1685 computations (44.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))
0.1b	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
0.2b	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
28.5b	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))

rewrite392.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_11694`
24×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
21×	`associate-r_binary64_11612`
19×	`times-frac_binary64_11678`
15×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
10×	`pow1_binary64_11733`
9×	`associate-l_binary64_11613`
5×	`flip3-+_binary64_11675` `flip-+_binary64_11646` `associate-*r/_binary64_11614`
4×	`add-log-exp_binary64_11711` `associate-/r/_binary64_11618` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640`
3×	`associate-/l_binary64_11617` `associate-/r_binary64_11616` `pow-prod-down_binary64_11743` `*-commutative_binary64_11603`
2×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `div-inv_binary64_11669` `associate-/l/_binary64_11619` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671`

Counts

4 → 109

Calls

4 calls:

10.0ms	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
7.0ms	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))
6.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
6.0ms	(.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))

Compiler

Compiled 6316 to 4236 computations (32.9% saved)

series5.4s (24.9%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

2.7s	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
2.1s	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))
260.0ms	(.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))
78.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))

Compiler

Compiled 12544 to 9978 computations (20.5% saved)

simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4962	10609
1	4962	10609

prune716.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	193	7	200

Error

0.0b

Counts

200 → 7

Compiler

Compiled 10497 to 6862 computations (34.6% saved)

regimes3.3s (15%)

Accuracy

Total -0.1b remaining (-13%)

Threshold costs -0.1b (-13%)

Compiler

Compiled 28152 to 23504 computations (16.5% saved)

bsearch120.0ms (0.6%)

Steps

Iters	Range		Point
8	6.932249920175728e+39	6.675990540865383e+43	9.227591230584217e+41
10	-1.4197916960464261e+43	-2.430503572558981e+32	-3.0257316015877942e+32

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	150	130
1	150	130

end4.0ms (0%)

Compiler: Compiled 87 to 64 computations (26.4% saved)

sample1.7s (7.9%)

Algorithm

1×

intervals

Results

932.0ms	8000×	body	128	valid
79.0ms	897×	body	128	invalid

Compiler

Compiled 439 to 353 computations (19.6% saved)

Details

analyze2.2s (10.3%)

sample44.0ms (0.2%)

simplify93.0ms (0.4%)

prune5.0ms (0%)

localize31.0ms (0.1%)

rewrite395.0ms (1.8%)

series4.4s (20.3%)

simplify115.0ms (0.5%)

prune604.0ms (2.8%)

localize4.0ms (0%)

rewrite14.0ms (0.1%)

series93.0ms (0.4%)

simplify119.0ms (0.6%)

prune30.0ms (0.1%)

localize18.0ms (0.1%)

rewrite153.0ms (0.7%)

series1.3s (5.8%)

simplify94.0ms (0.4%)

prune177.0ms (0.8%)

localize30.0ms (0.1%)

rewrite392.0ms (1.8%)

series5.4s (24.9%)

simplify133.0ms (0.6%)

prune716.0ms (3.3%)

regimes3.3s (15%)

bsearch120.0ms (0.6%)

simplify6.0ms (0%)

end4.0ms (0%)

sample1.7s (7.9%)

Profiling