Details

analyze1.2s (16.3%)

Algorithm

1×

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	222×	body	128	valid
8.0ms	11×	body	1024	valid
3.0ms	16×	body	512	valid
1.0ms	24×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify247.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune2.0ms (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

Merged error: 18.5b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
2.5b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.9b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_17810`
21×	`add-sqr-sqrt_binary64_17832`
11×	`cancel-sign-sub-inv_binary64_17776`
10×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `times-frac_binary64_17816`
9×	`add-cube-cbrt_binary64_17845`
8×	`add-log-exp_binary64_17849`
6×	`distribute-lft-out--_binary64_17762`
5×	`associate-/r_binary64_17754` `flip3--_binary64_17814` `flip--_binary64_17785` `difference-of-squares_binary64_17779` `associate-l*_binary64_17751` `pow1_binary64_17871`
4×	`associate-/r/_binary64_17756` `associate-*l/_binary64_17753`
3×	`associate-r_binary64_17750`
2×	`cbrt-unprod_binary64_17843` `prod-exp_binary64_17859` `div-inv_binary64_17807` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `diff-log_binary64_17902` `frac-sub_binary64_17819` `associate-/l/_binary64_17757`
1×	`unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `sum-log_binary64_17901` `clear-num_binary64_17809` `-commutative_binary64_17741` `associate-/l_binary64_17755` `flip-+_binary64_17784` `flip3-+_binary64_17813` `distribute-lft-out_binary64_17761` `associate--l+_binary64_17747` `frac-2neg_binary64_17821` `sub-neg_binary64_17803`

Counts

3 → 80

Calls

3 calls:

15.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
7.0ms	(*.f64 (-.f64 z t) y)

series302.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

182.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
80.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
40.0ms	(*.f64 (-.f64 z t) y)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5407	1513

prune117.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 2.3b

Counts

90 → 10

Compiler

Compiled 1801 to 440 computations (75.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
2.5b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
10.3b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite113.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

373×	`times-frac_binary64_17816`
313×	`add-sqr-sqrt_binary64_17832`
309×	`*-un-lft-identity_binary64_17810`
152×	`add-cube-cbrt_binary64_17845`
100×	`cancel-sign-sub-inv_binary64_17776`
79×	`difference-of-squares_binary64_17779`
78×	`distribute-lft-out--_binary64_17762`
22×	`associate-/r*_binary64_17754`
14×	`div-inv_binary64_17807`
10×	`associate-/l*_binary64_17755` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
8×	`add-log-exp_binary64_17849`
4×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `associate-/l/_binary64_17757`
3×	`flip3--_binary64_17814` `flip--_binary64_17785` `div-sub_binary64_17815` `pow1_binary64_17871`
2×	`associate-/r/_binary64_17756` `clear-num_binary64_17809` `diff-log_binary64_17902` `frac-sub_binary64_17819` `frac-2neg_binary64_17821`
1×	`sum-log_binary64_17901` `flip-+_binary64_17784` `flip3-+_binary64_17813` `distribute-lft-out_binary64_17761` `associate--l+_binary64_17747` `sub-neg_binary64_17803` `associate--r-_binary64_17749`

Counts

3 → 296

Calls

3 calls:

49.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
19.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
6.0ms	(/.f64 (-.f64 a t) y)

series373.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

207.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
135.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
31.0ms	(/.f64 (-.f64 a t) y)

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4994	8689
1	4994	8689

prune262.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	299	6	305
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	305	10	315

Merged error: 1.8b

Counts

315 → 10

Compiler

Compiled 7499 to 979 computations (86.9% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
3.9b	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
10.3b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite120.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

373×	`times-frac_binary64_17816`
313×	`add-sqr-sqrt_binary64_17832`
307×	`*-un-lft-identity_binary64_17810`
152×	`add-cube-cbrt_binary64_17845`
100×	`cancel-sign-sub-inv_binary64_17776`
79×	`difference-of-squares_binary64_17779`
77×	`distribute-lft-out--_binary64_17762`
22×	`associate-/r*_binary64_17754`
14×	`div-inv_binary64_17807`
10×	`associate-/l*_binary64_17755` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
5×	`add-log-exp_binary64_17849`
4×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `associate-/l/_binary64_17757`
3×	`associate-/r/_binary64_17756` `flip3--_binary64_17814` `flip--_binary64_17785` `div-sub_binary64_17815` `pow1_binary64_17871`
2×	`clear-num_binary64_17809` `frac-2neg_binary64_17821`
1×	`diff-log_binary64_17902` `sub-neg_binary64_17803` `associate--r-_binary64_17749` `distribute-rgt-out--_binary64_17764`

Counts

3 → 292

Calls

3 calls:

47.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
12.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
12.0ms	(/.f64 (-.f64 a t) y)

series307.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

141.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))
130.0ms	(-.f64 y (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
36.0ms	(/.f64 (-.f64 a t) y)

simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5944	7771

prune287.0ms (3.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	299	2	301
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	301	10	311

Merged error: 1.8b

Counts

311 → 10

Compiler

Compiled 6950 to 1095 computations (84.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (-.f64 z t) (-.f64 a t))
0.8b	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
3.5b	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite104.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`add-sqr-sqrt_binary64_17832`
142×	`*-un-lft-identity_binary64_17810`
104×	`times-frac_binary64_17816`
93×	`cancel-sign-sub-inv_binary64_17776`
50×	`add-cube-cbrt_binary64_17845` `difference-of-squares_binary64_17779`
44×	`distribute-lft-out--_binary64_17762`
33×	`distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759`
8×	`associate-/r/_binary64_17756` `associate-r_binary64_17750`
7×	`flip3--_binary64_17814` `flip--_binary64_17785` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
5×	`associate-/r_binary64_17754` `associate-/l_binary64_17755` `add-log-exp_binary64_17849` `pow1_binary64_17871`
4×	`div-inv_binary64_17807` `div-sub_binary64_17815`
3×	`associate-l_binary64_17751` `sub-neg_binary64_17803` `associate--r-_binary64_17749`
2×	`associate-*r/_binary64_17752` `associate-/l/_binary64_17757`
1×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `clear-num_binary64_17809` `*-commutative_binary64_17741` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `diff-log_binary64_17902` `frac-2neg_binary64_17821`

Counts

3 → 191

Calls

3 calls:

30.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))
24.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series314.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

172.0ms	(*.f64 y (-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t))))
91.0ms	(-.f64 1 (/.f64 (-.f64 z t) (-.f64 a t)))
51.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5662	4119

prune181.0ms (2.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	199	11	210

Merged error: 1.8b

Counts

210 → 11

Compiler

Compiled 3923 to 966 computations (75.4% saved)

regimes780.0ms (10.7%)

Compiler: Compiled 7116 to 4662 computations (34.5% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	339	96
1	339	96

end0.0ms (0%)

sample2.0s (27.8%)

Algorithm

1×

intervals

Results

353.0ms	6759×	body	128	valid
74.0ms	359×	body	1024	valid
65.0ms	468×	body	512	valid
39.0ms	355×	body	256	valid
39.0ms	780×	body	128	invalid
14.0ms	59×	body	2048	valid

Compiler

Compiled 1334 to 844 computations (36.7% saved)

Details

analyze1.2s (16.3%)

sample39.0ms (0.5%)

simplify247.0ms (3.4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite42.0ms (0.6%)

series302.0ms (4.2%)

simplify55.0ms (0.8%)

prune117.0ms (1.6%)

localize9.0ms (0.1%)

rewrite113.0ms (1.6%)

series373.0ms (5.1%)

simplify132.0ms (1.8%)

prune262.0ms (3.6%)

localize13.0ms (0.2%)

rewrite120.0ms (1.7%)

series307.0ms (4.2%)

simplify126.0ms (1.7%)

prune287.0ms (3.9%)

localize9.0ms (0.1%)

rewrite104.0ms (1.4%)

series314.0ms (4.3%)

simplify104.0ms (1.4%)

prune181.0ms (2.5%)

regimes780.0ms (10.7%)

bsearch5.0ms (0.1%)

simplify17.0ms (0.2%)

end0.0ms (0%)

sample2.0s (27.8%)

Profiling