Details

analyze1.5s (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4900	400
1	4900	400
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
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample27.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune3.0ms (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

22.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.0b	(*.f64 z (-.f64 t a))
0.3b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
22.1b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite169.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

22.6b

Rules

30×	`add-sqr-sqrt_binary64_19196`
26×	`*-un-lft-identity_binary64_19174`
22×	`add-cube-cbrt_binary64_19209`
18×	`cancel-sign-sub-inv_binary64_19140`
12×	`distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123`
10×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `associate-r_binary64_19114`
9×	`times-frac_binary64_19180`
8×	`pow1_binary64_19235` `associate-+r+_binary64_19106`
6×	`add-log-exp_binary64_19213` `sub-neg_binary64_19167` `associate-l_binary64_19115`
4×	`associate-*r/_binary64_19116`
3×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-/l_binary64_19119` `associate-/r_binary64_19118`
2×	`associate-/l/_binary64_19121` `associate-/r/_binary64_19120` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126` `*-commutative_binary64_19105`
1×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `sum-log_binary64_19265` `+-commutative_binary64_19104`

Counts

4 → 110

Calls

4 calls:

8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 b y))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

Compiler

Compiled 2937 to 511 computations (82.6% saved)

series1.6s (8%)

Error

1.4b

Counts

4 → 106

Calls

4 calls:

1.0s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
263.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
106.0ms	(*.f64 z (-.f64 t a))
99.0ms	(*.f64 z (-.f64 b y))

Compiler

Compiled 8573 to 4637 computations (45.9% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5109	5821

prune222.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	203	13	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	204	13	217

Error

0.9b

Counts

217 → 13

Compiler

Compiled 6235 to 1329 computations (78.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y)))))
0.3b	(-.f64 (.f64 y x) (.f64 z a))
12.5b	(/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y))))
20.1b	(/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite122.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

16×	`*-un-lft-identity_binary64_19174`
14×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
12×	`times-frac_binary64_19180`
11×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
8×	`add-log-exp_binary64_19213` `associate-/r/_binary64_19120`
6×	`associate-/r*_binary64_19118`
5×	`flip3-+_binary64_19177` `flip-+_binary64_19148`
4×	`pow1_binary64_19235` `div-inv_binary64_19171` `associate-/l*_binary64_19119`
3×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `distribute-rgt-out_binary64_19127`
2×	`frac-2neg_binary64_19185` `div-sub_binary64_19179` `clear-num_binary64_19173` `flip3--_binary64_19178` `associate-/l/_binary64_19121` `flip--_binary64_19149`
1×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `sum-log_binary64_19265` `frac-add_binary64_19182` `distribute-lft-out_binary64_19125` `associate-+r-_binary64_19108` `+-commutative_binary64_19104`

Counts

4 → 84

Calls

4 calls:

18.0ms	(+.f64 (/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y)))))
7.0ms	(/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y))))
6.0ms	(/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y))))
4.0ms	(-.f64 (.f64 y x) (.f64 z a))

Compiler

Compiled 3471 to 370 computations (89.3% saved)

series2.7s (13.3%)

Error

0.5b

Counts

4 → 124

Calls

4 calls:

1.5s	(+.f64 (/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y)))))
691.0ms	(/.f64 (-.f64 (.f64 y x) (.f64 z a)) (+.f64 y (*.f64 z (-.f64 b y))))
225.0ms	(/.f64 (.f64 t z) (+.f64 y (.f64 z (-.f64 b y))))
155.0ms	(-.f64 (.f64 y x) (.f64 z a))

Compiler

Compiled 13421 to 6874 computations (48.8% saved)

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4969	8358
1	4969	8358

prune224.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	209	12	221

Error

0.0b

Counts

221 → 12

Compiler

Compiled 8550 to 1687 computations (80.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.3b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
0.3b	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))
22.0b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))

rewrite219.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64_19180`
66×	`add-sqr-sqrt_binary64_19196`
64×	`*-un-lft-identity_binary64_19174`
62×	`add-cube-cbrt_binary64_19209`
19×	`add-exp-log_binary64_19212`
18×	`associate-/r*_binary64_19118`
13×	`add-cbrt-cube_binary64_19210`
12×	`cancel-sign-sub-inv_binary64_19140`
11×	`associate-/r/_binary64_19120`
8×	`div-exp_binary64_19225` `distribute-rgt-in_binary64_19124` `associate-+l+_binary64_19107` `distribute-lft-in_binary64_19123`
7×	`pow1_binary64_19235` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`add-log-exp_binary64_19213` `div-inv_binary64_19171` `associate-/l*_binary64_19119`
5×	`associate-r_binary64_19114`
4×	`cbrt-undiv_binary64_19208` `sub-neg_binary64_19167`
3×	`associate-l_binary64_19115`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/l/_binary64_19121` `1-exp_binary64_19218` `rec-exp_binary64_19224` `associate-*r/_binary64_19116`
1×	`sum-log_binary64_19265` `+-commutative_binary64_19104` `inv-pow_binary64_19259` `pow-flip_binary64_19248` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126` `*-commutative_binary64_19105`

Counts

4 → 164

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
11.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))
8.0ms	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))
7.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 5705 to 1088 computations (80.9% saved)

series2.8s (13.9%)

Error

0.0b

Counts

4 → 133

Calls

4 calls:

1.3s	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))
1.0s	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
244.0ms	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))
108.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 16837 to 9688 computations (42.5% saved)

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5334	12752

prune318.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	295	2	297
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	298	11	309

Error

0.0b

Counts

309 → 11

Compiler

Compiled 10777 to 2322 computations (78.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.3b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.9b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
21.6b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite157.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_19196`
29×	`*-un-lft-identity_binary64_19174`
26×	`add-cube-cbrt_binary64_19209`
20×	`times-frac_binary64_19180` `associate-r_binary64_19114`
19×	`add-exp-log_binary64_19212`
13×	`add-cbrt-cube_binary64_19210`
12×	`cancel-sign-sub-inv_binary64_19140`
9×	`pow1_binary64_19235`
8×	`distribute-rgt-in_binary64_19124` `associate-+r+_binary64_19106` `distribute-lft-in_binary64_19123`
6×	`add-log-exp_binary64_19213` `associate-l_binary64_19115`
5×	`prod-exp_binary64_19223` `flip3-+_binary64_19177` `flip-+_binary64_19148`
4×	`div-exp_binary64_19225` `unswap-sqr_binary64_19142` `associate-/r/_binary64_19120` `sub-neg_binary64_19167`
3×	`cbrt-unprod_binary64_19207` `associate-r/_binary64_19116` `associate-/l_binary64_19119` `associate-/r*_binary64_19118`
2×	`pow-prod-down_binary64_19245` `1-exp_binary64_19218` `rec-exp_binary64_19224` `cbrt-undiv_binary64_19208` `frac-times_binary64_19184` `associate-l/_binary64_19117` `div-inv_binary64_19171` `-commutative_binary64_19105`
1×	`un-div-inv_binary64_19172` `inv-pow_binary64_19259` `pow-flip_binary64_19248` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `sum-log_binary64_19265` `+-commutative_binary64_19104` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`

Counts

4 → 124

Calls

4 calls:

13.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
8.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))

Compiler

Compiled 3675 to 864 computations (76.5% saved)

series1.8s (8.8%)

Error

0.0b

Counts

4 → 114

Calls

4 calls:

1.0s	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
285.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
183.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
133.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 9926 to 5697 computations (42.6% saved)

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5343	7089

prune424.0ms (2.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	238	11	249

Error

0.0b

Counts

249 → 11

Compiler

Compiled 7127 to 1786 computations (74.9% saved)

regimes4.4s (21.4%)

Accuracy

Total 8.6b remaining (97.9%)

Threshold costs 0b (0%)

Compiler

Compiled 32615 to 20936 computations (35.8% saved)

bsearch8.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	171	342
1	171	342

end0.0ms (0%)

sample3.1s (15.4%)

Algorithm

1×

intervals

Results

402.0ms	8000×	body	128	valid
29.0ms	412×	body	128	invalid

Compiler

Compiled 4046 to 2530 computations (37.5% saved)

Details

analyze1.5s (7.3%)

sample27.0ms (0.1%)

simplify92.0ms (0.5%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite169.0ms (0.8%)

series1.6s (8%)

simplify66.0ms (0.3%)

prune222.0ms (1.1%)

localize14.0ms (0.1%)

rewrite122.0ms (0.6%)

series2.7s (13.3%)

simplify98.0ms (0.5%)

prune224.0ms (1.1%)

localize13.0ms (0.1%)

rewrite219.0ms (1.1%)

series2.8s (13.9%)

simplify117.0ms (0.6%)

prune318.0ms (1.6%)

localize13.0ms (0.1%)

rewrite157.0ms (0.8%)

series1.8s (8.8%)

simplify83.0ms (0.4%)

prune424.0ms (2.1%)

regimes4.4s (21.4%)

bsearch8.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.1s (15.4%)

Profiling