Details

analyze2.1s (7.3%)

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)

sample39.0ms (0.1%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
2.0ms	31×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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

31.2b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
2.9b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
29.3b	(/.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))

rewrite314.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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:

30.0ms	(/.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))
17.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 4664 to 3081 computations (33.9% saved)

series3.2s (11.1%)

Error

1.9b

Counts

4 → 96

Calls

4 calls:

1.9s	(/.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))
707.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
295.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
62.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 11347 to 8779 computations (22.6% saved)

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	7461
1	4953	7461

prune507.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	9	184

Error

0.9b

Counts

184 → 9

Compiler

Compiled 9095 to 5837 computations (35.8% 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

0.9b

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)

series59.0ms (0.2%)

Error

0.9b

Counts

1 → 12

Calls

1 calls:

53.0ms

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

Compiler

Compiled 114 to 180 computations (-57.9% saved)

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4817	193
1	4817	193

prune37.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	21	11	32

Error

0.9b

Counts

32 → 11

Compiler

Compiled 651 to 495 computations (24% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 7049496828096731/2251799813685248 y) x)) (cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x)))

rewrite164.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

25×	`cbrt-prod_binary64_11703`
23×	`add-sqr-sqrt_binary64_11694`
18×	`cbrt-div_binary64_11704`
15×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
11×	`pow1_binary64_11733`
9×	`pow1/3_binary64_11754` `flip3-+_binary64_11675` `flip-+_binary64_11646`
6×	`add-exp-log_binary64_11710` `swap-sqr_binary64_11639` `associate-l_binary64_11613` `associate-r_binary64_11612`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708` `frac-times_binary64_11682` `unswap-sqr_binary64_11640`
2×	`pow-prod-down_binary64_11743` `pow-prod-up_binary64_11742` `pow-sqr_binary64_11645` `associate-l/_binary64_11615` `associate-r/_binary64_11614`
1×	`pow2_binary64_11753` `pow-plus_binary64_11735` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `*-commutative_binary64_11603`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 7049496828096731/2251799813685248 y) x)) (cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))

Compiler

Compiled 2660 to 1917 computations (27.9% saved)

series668.0ms (2.3%)

Error

0.9b

Counts

4 → 54

Calls

4 calls:

208.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 7049496828096731/2251799813685248 y) x)) (cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x)))
133.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
120.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))
119.0ms	(cbrt.f64 (+.f64 (*.f64 7049496828096731/2251799813685248 y) x))

Compiler

Compiled 4516 to 4087 computations (9.5% saved)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5377	2767

prune221.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	141	11	152

Error

0.9b

Counts

152 → 11

Compiler

Compiled 4160 to 2956 computations (28.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
0.1b	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
0.1b	(/.f64 y (/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248))))))))))
29.2b	(/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))))))

rewrite530.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

90×	`times-frac_binary64_11678`
64×	`add-sqr-sqrt_binary64_11694`
60×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
18×	`associate-/r*_binary64_11616`
15×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
11×	`associate-/r/_binary64_11618`
8×	`pow1_binary64_11733` `flip3-+_binary64_11675` `flip-+_binary64_11646`
6×	`div-inv_binary64_11669` `associate-/l_binary64_11617` `associate-l_binary64_11613` `associate-r*_binary64_11612`
4×	`div-exp_binary64_11723` `add-log-exp_binary64_11711` `cbrt-undiv_binary64_11706` `associate-*r/_binary64_11614`
2×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `associate-/l/_binary64_11619` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `*-commutative_binary64_11603`

Counts

4 → 153

Calls

4 calls:

9.0ms	(/.f64 y (/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248))))))))))
7.0ms	(/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))))))
6.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
6.0ms	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))

Compiler

Compiled 9794 to 6479 computations (33.8% saved)

series9.5s (33.3%)

Error

0.6b

Counts

4 → 104

Calls

4 calls:

6.1s	(/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))))))
1.9s	(/.f64 y (/.f64 (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656))))))) (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248))))))))))
277.0ms	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
53.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))

Compiler

Compiled 37611 to 28619 computations (23.9% saved)

simplify273.0ms (1%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5086	30753

prune1.8s (6.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	255	2	257
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	257	11	268

Error

0.6b

Counts

268 → 11

Compiler

Compiled 24150 to 15208 computations (37% saved)

regimes4.1s (14.2%)

Accuracy

Total 1.5b remaining (75.1%)

Threshold costs 0b (0%)

Compiler

Compiled 40361 to 32628 computations (19.2% saved)

bsearch32.0ms (0.1%)

Steps

Iters	Range		Point
1	3.032530635198732e+20	3.332142800644281e+20	3.2572397592828936e+20
4	-1.236532211903995e+57	-8.036698385685676e+56	-9.79520177736085e+56

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	131	103
1	131	103

end0.0ms (0%)

sample4.5s (15.9%)

Algorithm

1×

intervals

Results

668.0ms	8000×	body	128	valid
76.0ms	883×	body	128	invalid

Compiler

Compiled 5161 to 4160 computations (19.4% saved)

Details

analyze2.1s (7.3%)

sample39.0ms (0.1%)

simplify102.0ms (0.4%)

prune4.0ms (0%)

localize24.0ms (0.1%)

rewrite314.0ms (1.1%)

series3.2s (11.1%)

simplify154.0ms (0.5%)

prune507.0ms (1.8%)

localize4.0ms (0%)

rewrite14.0ms (0.1%)

series59.0ms (0.2%)

simplify120.0ms (0.4%)

prune37.0ms (0.1%)

localize7.0ms (0%)

rewrite164.0ms (0.6%)

series668.0ms (2.3%)

simplify84.0ms (0.3%)

prune221.0ms (0.8%)

localize28.0ms (0.1%)

rewrite530.0ms (1.9%)

series9.5s (33.3%)

simplify273.0ms (1%)

prune1.8s (6.2%)

regimes4.1s (14.2%)

bsearch32.0ms (0.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.5s (15.9%)

Profiling