Details

analyze2.8s (10%)

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)

sample52.0ms (0.2%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
3.0ms	30×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

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

30.0b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize36.0ms (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 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
2.7b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
28.5b	(/.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))

rewrite429.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

28.1b

Rules

18×	`add-sqr-sqrt_binary64_10671`
15×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
12×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
10×	`pow1_binary64_10710`
9×	`associate-l_binary64_10590` `associate-r_binary64_10589`
5×	`flip3-+_binary64_10652` `flip-+_binary64_10623`
4×	`prod-exp_binary64_10698` `add-log-exp_binary64_10688` `cbrt-unprod_binary64_10682` `associate-r/_binary64_10591` `associate-l/_binary64_10592`
3×	`times-frac_binary64_10655` `associate-/r_binary64_10593` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `-commutative_binary64_10580`
2×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `associate-/l/_binary64_10596` `associate-/r/_binary64_10595`
1×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `associate-/l*_binary64_10594` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`

Counts

4 → 87

Calls

4 calls:

35.0ms	(.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 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))
26.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
18.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

Compiler

Compiled 4728 to 3112 computations (34.2% saved)

series4.0s (14.3%)

Error

1.2b

Counts

4 → 105

Calls

4 calls:

2.3s	(/.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))
778.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
350.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
239.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

Compiler

Compiled 12118 to 9361 computations (22.8% saved)

simplify191.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4960	7500
1	4960	7500

prune620.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	183	9	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	9	193

Error

0.5b

Counts

193 → 9

Compiler

Compiled 9300 to 5979 computations (35.7% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

3×	`add-log-exp_binary64_10688`
1×	`sum-log_binary64_10740` `pow1_binary64_10710` `add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685` `add-cube-cbrt_binary64_10684` `add-sqr-sqrt_binary64_10671` `flip3-+_binary64_10652` `*-un-lft-identity_binary64_10649` `flip-+_binary64_10623` `+-commutative_binary64_10579`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

Compiler

Compiled 136 to 99 computations (27.2% saved)

series83.0ms (0.3%)

Error

0.5b

Counts

1 → 12

Calls

1 calls:

76.0ms

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

Compiler

Compiled 114 to 180 computations (-57.9% saved)

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4817	193
1	4817	193

prune35.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	22	10	32

Error

0.5b

Counts

32 → 10

Compiler

Compiled 625 to 473 computations (24.3% saved)

localize31.0ms (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 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
0.1b	(.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)))))))))
27.4b	(/.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))))))))

rewrite467.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

33×	`add-sqr-sqrt_binary64_10671`
24×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
21×	`associate-r_binary64_10589`
19×	`times-frac_binary64_10655`
15×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
10×	`pow1_binary64_10710`
9×	`associate-l_binary64_10590`
5×	`flip3-+_binary64_10652` `flip-+_binary64_10623` `associate-*r/_binary64_10591`
4×	`add-log-exp_binary64_10688` `associate-/r/_binary64_10595` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617`
3×	`associate-/l_binary64_10594` `associate-/r_binary64_10593` `pow-prod-down_binary64_10720` `*-commutative_binary64_10580`
2×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `div-inv_binary64_10646` `associate-/l/_binary64_10596` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
1×	`frac-2neg_binary64_10660` `clear-num_binary64_10648`

Counts

4 → 109

Calls

4 calls:

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

Compiler

Compiled 6444 to 4299 computations (33.3% saved)

series4.9s (17.6%)

Error

0.0b

Counts

4 → 102

Calls

4 calls:

2.3s	(.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)))))))))
1.7s	(/.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))))))))
326.0ms	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
214.0ms	(.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (*.f64 z 7049496828096731/2251799813685248)))))

Compiler

Compiled 13961 to 11087 computations (20.6% saved)

simplify175.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5088	11176

prune774.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	213	8	221

Error

0.0b

Counts

221 → 8

Compiler

Compiled 11541 to 7567 computations (34.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z))
3.6b	(.f64 y (-.f64 (+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z)))) (/.f64 23151763167026757919721122556003/633825300114114700748351602688 z)))
5.4b	(+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (.f64 z z))))
6.2b	(/.f64 t (*.f64 z z))

rewrite285.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`*-un-lft-identity_binary64_10649`
31×	`add-sqr-sqrt_binary64_10671`
26×	`cancel-sign-sub-inv_binary64_10615`
25×	`times-frac_binary64_10655`
24×	`add-cube-cbrt_binary64_10684`
16×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
15×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
9×	`add-log-exp_binary64_10688`
8×	`associate-r_binary64_10589`
6×	`pow1_binary64_10710` `associate-/l_binary64_10594` `distribute-lft-out_binary64_10600` `associate-r/_binary64_10591`
4×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `div-inv_binary64_10646` `flip3-+_binary64_10652` `frac-add_binary64_10657` `flip-+_binary64_10623` `frac-sub_binary64_10658`
3×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `sum-log_binary64_10740` `associate-l_binary64_10590` `distribute-lft-out--_binary64_10601`
2×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `associate-/r*_binary64_10593` `sub-neg_binary64_10642` `associate--l+_binary64_10586` `difference-of-squares_binary64_10618`
1×	`associate-+r+_binary64_10581` `+-commutative_binary64_10579` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `flip3--_binary64_10653` `flip--_binary64_10624` `*-commutative_binary64_10580`

Counts

4 → 118

Calls

4 calls:

46.0ms	(.f64 y (-.f64 (+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z)))) (/.f64 23151763167026757919721122556003/633825300114114700748351602688 z)))
26.0ms	(+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (.f64 z z))))
9.0ms	(/.f64 t (*.f64 z z))
5.0ms	(/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z))

Compiler

Compiled 3901 to 2023 computations (48.1% saved)

series822.0ms (3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

457.0ms	(.f64 y (-.f64 (+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z)))) (/.f64 23151763167026757919721122556003/633825300114114700748351602688 z)))
198.0ms	(+.f64 (/.f64 t (.f64 z z)) (+.f64 7049496828096731/2251799813685248 (/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (.f64 z z))))
93.0ms	(/.f64 t (*.f64 z z))
36.0ms	(/.f64 81702972970233816761127909406680643088908197035/178405961588244985132285746181186892047843328 (*.f64 z z))

Compiler

Compiled 2050 to 1773 computations (13.5% saved)

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5044	3312

prune228.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	157	8	165

Error

0.0b

Counts

165 → 8

Compiler

Compiled 4045 to 2067 computations (48.9% saved)

regimes6.0s (21.8%)

Accuracy

Total 0.9b remaining (89.3%)

Threshold costs 0.9b (89.3%)

Compiler

Compiled 35970 to 29605 computations (17.7% saved)

bsearch121.0ms (0.4%)

Steps

Iters	Range		Point
9	1.1724814468548628e+52	2.8478419480007103e+57	4.28513717524411e+52
8	-2.6214278461506204e+57	-9.251054659048898e+54	-1.972645790880855e+55

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	101	132
1	101	132

end0.0ms (0%)

sample5.2s (18.9%)

Algorithm

1×

intervals

Results

879.0ms	8000×	body	128	valid
88.0ms	851×	body	128	invalid

Compiler

Compiled 4641 to 3799 computations (18.1% saved)

Details

analyze2.8s (10%)

sample52.0ms (0.2%)

simplify116.0ms (0.4%)

prune4.0ms (0%)

localize36.0ms (0.1%)

rewrite429.0ms (1.6%)

series4.0s (14.3%)

simplify191.0ms (0.7%)

prune620.0ms (2.2%)

localize7.0ms (0%)

rewrite17.0ms (0.1%)

series83.0ms (0.3%)

simplify122.0ms (0.4%)

prune35.0ms (0.1%)

localize31.0ms (0.1%)

rewrite467.0ms (1.7%)

series4.9s (17.6%)

simplify175.0ms (0.6%)

prune774.0ms (2.8%)

localize25.0ms (0.1%)

rewrite285.0ms (1%)

series822.0ms (3%)

simplify136.0ms (0.5%)

prune228.0ms (0.8%)

regimes6.0s (21.8%)

bsearch121.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.2s (18.9%)

Profiling