Details

analyze36.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify385.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite78.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`*-un-lft-identity_binary64_18151`
40×	`add-sqr-sqrt_binary64_18173`
30×	`times-frac_binary64_18157`
19×	`distribute-lft-out--_binary64_18103`
14×	`add-cube-cbrt_binary64_18186`
13×	`difference-of-squares_binary64_18120`
6×	`distribute-lft-out_binary64_18102` `associate-/r*_binary64_18095`
5×	`associate-/l*_binary64_18096`
3×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
2×	`flip3--_binary64_18155` `associate-/l/_binary64_18098` `flip--_binary64_18126` `associate-/r/_binary64_18097`
1×	`pow1_binary64_18212` `div-exp_binary64_18202` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `clear-num_binary64_18150` `div-inv_binary64_18148`

Counts

1 → 58

Calls

1 calls:

11.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1117 to 472 computations (57.7% saved)

series282.0ms (4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

234.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1564 to 1239 computations (20.8% saved)

simplify102.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5129	2264

prune105.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Error

Counts

83 → 5

Compiler

Compiled 1734 to 852 computations (50.9% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))

rewrite398.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

292×	`*-un-lft-identity_binary64_18151`
258×	`times-frac_binary64_18157`
214×	`add-sqr-sqrt_binary64_18173`
100×	`add-cube-cbrt_binary64_18186`
83×	`distribute-lft-out--_binary64_18103`
57×	`difference-of-squares_binary64_18120`
41×	`associate-/r*_binary64_18095`
26×	`distribute-lft-out_binary64_18102`
15×	`add-exp-log_binary64_18189`
11×	`associate-/r/_binary64_18097`
9×	`add-cbrt-cube_binary64_18187` `associate-/l*_binary64_18096`
8×	`div-exp_binary64_18202`
6×	`div-inv_binary64_18148` `flip3--_binary64_18155` `flip--_binary64_18126`
4×	`cbrt-undiv_binary64_18185`
3×	`pow1_binary64_18212`
2×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `add-log-exp_binary64_18190` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/l/_binary64_18098`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `div-sub_binary64_18156`

Counts

2 → 226

Calls

2 calls:

22.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
14.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))

Compiler

Compiled 5434 to 2774 computations (49% saved)

series409.0ms (5.8%)

Error

Counts

2 → 48

Calls

2 calls:

200.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
139.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))

Compiler

Compiled 2944 to 2365 computations (19.7% saved)

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5118	7801

prune303.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	275	4	279

Error

Counts

279 → 4

Compiler

Compiled 6086 to 2912 computations (52.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))))
0.1b	(exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
1.0b	(log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))

rewrite732.0ms (10.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

401×	`*-un-lft-identity_binary64_18151`
330×	`times-frac_binary64_18157`
293×	`add-sqr-sqrt_binary64_18173`
216×	`exp-prod_binary64_18203`
185×	`log-pow_binary64_18240`
135×	`add-cube-cbrt_binary64_18186`
115×	`distribute-lft-out--_binary64_18103`
79×	`difference-of-squares_binary64_18120`
45×	`associate-/r*_binary64_18095`
36×	`distribute-lft-out_binary64_18102`
14×	`associate-/r/_binary64_18097`
10×	`pow1_binary64_18212` `add-exp-log_binary64_18189`
9×	`associate-/l*_binary64_18096`
8×	`div-inv_binary64_18148` `flip3--_binary64_18155` `flip--_binary64_18126` `add-cbrt-cube_binary64_18187`
5×	`add-log-exp_binary64_18190`
3×	`div-sub_binary64_18156` `log-prod_binary64_18237` `div-exp_binary64_18202`
2×	`exp-diff_binary64_18199` `cbrt-undiv_binary64_18185` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/l/_binary64_18098`
1×	`log-div_binary64_18238` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `inv-pow_binary64_18236` `pow-flip_binary64_18225` `1-exp_binary64_18195` `rec-exp_binary64_18201`

Counts

4 → 331

Calls

4 calls:

45.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))))
18.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
16.0ms	(exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
14.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))

Compiler

Compiled 8524 to 4617 computations (45.8% saved)

series1.6s (23.3%)

Error

Counts

4 → 84

Calls

4 calls:

851.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))))
257.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))))
199.0ms	(exp.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
125.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

Compiler

Compiled 7505 to 6207 computations (17.3% saved)

simplify228.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

415 → 415

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5161	11953

prune611.0ms (8.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	415	4	419

Error

Counts

419 → 4

Compiler

Compiled 10271 to 5346 computations (48% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 2 y))
0.0b	(-.f64 (+.f64 1 (/.f64 2 y)) (*.f64 2 (/.f64 x y)))

rewrite62.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_18190`
4×	`*-un-lft-identity_binary64_18151`
2×	`sum-log_binary64_18242` `diff-log_binary64_18243` `pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187` `add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `associate-*r/_binary64_18093` `flip3-+_binary64_18154` `frac-sub_binary64_18160` `flip-+_binary64_18125`
1×	`flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `cancel-sign-sub-inv_binary64_18117` `associate--l+_binary64_18088` `distribute-lft-out_binary64_18102` `+-commutative_binary64_18081`

Counts

2 → 28

Calls

2 calls:

17.0ms	(-.f64 (+.f64 1 (/.f64 2 y)) (*.f64 2 (/.f64 x y)))
7.0ms	(+.f64 1 (/.f64 2 y))

Compiler

Compiled 600 to 432 computations (28% saved)

series219.0ms (3.1%)

Error

Counts

2 → 18

Calls

2 calls:

175.0ms	(-.f64 (+.f64 1 (/.f64 2 y)) (*.f64 2 (/.f64 x y)))
34.0ms	(+.f64 1 (/.f64 2 y))

Compiler

Compiled 449 to 383 computations (14.7% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4961	622
1	4961	622

prune51.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	46	4	50

Error

Counts

50 → 4

Compiler

Compiled 614 to 446 computations (27.4% saved)

regimes138.0ms (1.9%)

Accuracy

Total 0.0b remaining (85.3%)

Threshold costs 0.0b (85.3%)

Compiler

Compiled 1168 to 877 computations (24.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample995.0ms (14%)

Algorithm

1×

intervals

Results

248.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 416 to 312 computations (25% saved)

Details

analyze36.0ms (0.5%)

sample32.0ms (0.4%)

simplify385.0ms (5.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite78.0ms (1.1%)

series282.0ms (4%)

simplify102.0ms (1.4%)

prune105.0ms (1.5%)

localize14.0ms (0.2%)

rewrite398.0ms (5.6%)

series409.0ms (5.8%)

simplify149.0ms (2.1%)

prune303.0ms (4.3%)

localize10.0ms (0.1%)

rewrite732.0ms (10.3%)

series1.6s (23.3%)

simplify228.0ms (3.2%)

prune611.0ms (8.6%)

localize14.0ms (0.2%)

rewrite62.0ms (0.9%)

series219.0ms (3.1%)

simplify70.0ms (1%)

prune51.0ms (0.7%)

regimes138.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample995.0ms (14%)

Profiling