Details

analyze1.7s (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5278	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample32.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	215×	body	128	valid
2.0ms	19×	body	512	valid
2.0ms	12×	body	1024	valid
2.0ms	39×	body	128	invalid
1.0ms	8×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4936	19
1	4936	19

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

26.7b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
1.3b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
19.9b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite132.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

Rules

19×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
13×	`flip3--_binary64_16450` `flip--_binary64_16421`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
9×	`add-cube-cbrt_binary64_16481`
8×	`frac-times_binary64_16456` `associate-/l/_binary64_16393`
6×	`cancel-sign-sub-inv_binary64_16412`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `times-frac_binary64_16452` `associate-/r_binary64_16390` `associate-l_binary64_16387` `associate-r*_binary64_16386`
4×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398` `associate-l/_binary64_16389` `associate-r/_binary64_16388` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
2×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479` `associate-/r/_binary64_16392` `sub-neg_binary64_16439`
1×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `associate-/l_binary64_16391` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out_binary64_16397` `+-commutative_binary64_16376` `pow-prod-down_binary64_16517` `unswap-sqr_binary64_16414` `-commutative_binary64_16377`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
13.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series1.8s (10.3%)

Error

0.9b

Counts

3 → 90

Calls

3 calls:

947.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
578.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
201.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 6462 to 3227 computations (50.1% saved)

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5103	4354

prune156.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	167	8	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	8	176

Error

0.8b

Counts

176 → 8

Compiler

Compiled 3975 to 623 computations (84.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
2.3b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
4.5b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite474.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

330×	`times-frac_binary64_16452`
323×	`*-un-lft-identity_binary64_16446`
321×	`add-sqr-sqrt_binary64_16468`
113×	`add-cube-cbrt_binary64_16481`
104×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
36×	`associate-/r*_binary64_16390`
15×	`associate-/r/_binary64_16392`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `associate-/l*_binary64_16391`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
8×	`div-inv_binary64_16443`
5×	`add-log-exp_binary64_16485`
4×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `associate-/l/_binary64_16393`
3×	`pow1_binary64_16507` `div-sub_binary64_16451`
2×	`frac-2neg_binary64_16457` `clear-num_binary64_16445`
1×	`sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out_binary64_16397` `associate-+r-_binary64_16380` `+-commutative_binary64_16376`

Counts

3 → 274

Calls

3 calls:

66.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
31.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
13.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7392 to 1404 computations (81% saved)

series2.0s (11%)

Error

0.8b

Counts

3 → 96

Calls

3 calls:

989.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
624.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
250.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 7215 to 3762 computations (47.9% saved)

simplify208.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

370 → 370

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5900	11587

prune325.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	370	0	370
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	370	8	378

Error

0.8b

Counts

378 → 8

Compiler

Compiled 9425 to 1266 computations (86.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
2.8b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
4.7b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite166.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

78×	`add-sqr-sqrt_binary64_16468`
73×	`*-un-lft-identity_binary64_16446`
51×	`times-frac_binary64_16452`
31×	`associate-r_binary64_16386`
27×	`add-cube-cbrt_binary64_16481`
23×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-l_binary64_16387` `associate-/l_binary64_16391` `associate-/r_binary64_16390`
4×	`associate-/r/_binary64_16392`
2×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `frac-times_binary64_16456` `unswap-sqr_binary64_16414` `associate-*l/_binary64_16389` `div-inv_binary64_16443` `associate-/l/_binary64_16393`
1×	`pow-prod-down_binary64_16517` `associate-r/_binary64_16388` `-commutative_binary64_16377` `sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445`

Counts

3 → 119

Calls

3 calls:

30.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.0s (11%)

Error

0.8b

Counts

3 → 90

Calls

3 calls:

1.0s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
575.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
265.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 6654 to 3420 computations (48.6% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5423	5088

prune176.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	209	8	217

Error

0.8b

Counts

217 → 8

Compiler

Compiled 4723 to 688 computations (85.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.9b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x))
7.2b	(/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z)))
7.9b	(+.f64 x (/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z))))

rewrite214.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

28×	`add-sqr-sqrt_binary64_16468`
27×	`add-exp-log_binary64_16484`
26×	`*-un-lft-identity_binary64_16446`
19×	`add-cbrt-cube_binary64_16482`
17×	`associate-l_binary64_16387`
16×	`cbrt-div_binary64_16478`
15×	`cbrt-prod_binary64_16477`
14×	`add-cube-cbrt_binary64_16481` `times-frac_binary64_16452`
12×	`flip3--_binary64_16450` `flip--_binary64_16421`
10×	`associate-/r/_binary64_16392`
8×	`prod-exp_binary64_16495` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479` `frac-times_binary64_16456` `associate-/r*_binary64_16390`
6×	`add-log-exp_binary64_16485` `pow1_binary64_16507` `associate-*r/_binary64_16388` `cancel-sign-sub-inv_binary64_16412`
5×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398` `associate-/l/_binary64_16393` `associate-r_binary64_16386`
4×	`associate-*l/_binary64_16389` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
2×	`div-inv_binary64_16443` `unswap-sqr_binary64_16414` `sub-neg_binary64_16439`
1×	`sum-log_binary64_16537` `flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-lft-out_binary64_16397` `+-commutative_binary64_16376` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l_binary64_16391` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `pow1/3_binary64_16528`

Counts

4 → 121

Calls

4 calls:

33.0ms	(/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z)))
22.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x))
12.0ms	(+.f64 x (/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z))))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 4438 to 639 computations (85.6% saved)

series3.6s (20.5%)

Error

0.8b

Counts

4 → 105

Calls

4 calls:

1.6s	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x))
1.2s	(+.f64 x (/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z))))
628.0ms	(/.f64 (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (-.f64 t x)) (cbrt.f64 (-.f64 a z)))
116.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 10597 to 6349 computations (40.1% saved)

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4980	6784
1	4980	6784

prune230.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	4	5
Picked	1	0	1
Done	1	1	2
Total	228	6	234

Error

0.8b

Counts

234 → 6

Compiler

Compiled 6453 to 1123 computations (82.6% saved)

regimes1.3s (7.2%)

Accuracy

Total 11.4b remaining (92.7%)

Threshold costs 0b (0%)

Compiler

Compiled 9336 to 6408 computations (31.4% saved)

bsearch111.0ms (0.6%)

Steps

Iters	Range		Point
8	3.132748015242735e+197	1.2577148943184108e+200	5.2911909187746226e+197
6	4.8018342763602645e+94	2.310190186532165e+95	1.9038582755546934e+95
10	-2.2793200521325695e-215	-6.587429337260365e-232	-7.081586002361856e-216
6	-3.750393509873892e+161	-4.591922509661223e+160	-1.8535004913060756e+161

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	144	137
1	144	137

end0.0ms (0%)

sample2.6s (14.8%)

Algorithm

1×

intervals

Results

364.0ms	6689×	body	128	valid
76.0ms	500×	body	512	valid
71.0ms	390×	body	1024	valid
59.0ms	1205×	body	128	invalid
32.0ms	353×	body	256	valid
17.0ms	68×	body	2048	valid

Compiler

Compiled 1680 to 1129 computations (32.8% saved)

Details

analyze1.7s (9.5%)

sample32.0ms (0.2%)

simplify98.0ms (0.6%)

prune7.0ms (0%)

localize11.0ms (0.1%)

rewrite132.0ms (0.7%)

series1.8s (10.3%)

simplify106.0ms (0.6%)

prune156.0ms (0.9%)

localize9.0ms (0.1%)

rewrite474.0ms (2.7%)

series2.0s (11%)

simplify208.0ms (1.2%)

prune325.0ms (1.8%)

localize9.0ms (0.1%)

rewrite166.0ms (0.9%)

series2.0s (11%)

simplify119.0ms (0.7%)

prune176.0ms (1%)

localize20.0ms (0.1%)

rewrite214.0ms (1.2%)

series3.6s (20.5%)

simplify143.0ms (0.8%)

prune230.0ms (1.3%)

regimes1.3s (7.2%)

bsearch111.0ms (0.6%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.6s (14.8%)

Profiling