Details

analyze1.8s (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)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

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

24.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.0b	(*.f64 z (-.f64 t a))
1.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
24.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite190.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

30×	`add-sqr-sqrt_binary64_20560`
26×	`*-un-lft-identity_binary64_20538`
22×	`add-cube-cbrt_binary64_20573`
18×	`cancel-sign-sub-inv_binary64_20504`
12×	`distribute-rgt-in_binary64_20488` `distribute-lft-in_binary64_20487`
10×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574` `associate-r_binary64_20478`
9×	`times-frac_binary64_20544`
8×	`pow1_binary64_20599` `associate-+r+_binary64_20470`
6×	`add-log-exp_binary64_20577` `sub-neg_binary64_20531` `associate-l_binary64_20479`
4×	`associate-*r/_binary64_20480`
3×	`flip3-+_binary64_20541` `flip-+_binary64_20512` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
2×	`associate-/l/_binary64_20485` `associate-/r/_binary64_20484` `pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513` `difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490` `*-commutative_binary64_20469`
1×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `frac-2neg_binary64_20549` `clear-num_binary64_20537` `div-inv_binary64_20535` `sum-log_binary64_20629` `+-commutative_binary64_20468`

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)

series1.8s (7.2%)

Error

1.5b

Counts

4 → 104

Calls

4 calls:

1.2s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
273.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
121.0ms	(*.f64 z (-.f64 b y))
111.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 9377 to 5320 computations (43.3% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5197	6662

prune289.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	200	14	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	14	215

Error

1.4b

Counts

215 → 14

Compiler

Compiled 6913 to 1680 computations (75.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.6b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
1.2b	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))
23.7b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))

rewrite252.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

90×	`times-frac_binary64_20544`
66×	`add-sqr-sqrt_binary64_20560`
64×	`*-un-lft-identity_binary64_20538`
62×	`add-cube-cbrt_binary64_20573`
19×	`add-exp-log_binary64_20576`
18×	`associate-/r*_binary64_20482`
13×	`add-cbrt-cube_binary64_20574`
12×	`cancel-sign-sub-inv_binary64_20504`
11×	`associate-/r/_binary64_20484`
8×	`div-exp_binary64_20589` `distribute-rgt-in_binary64_20488` `associate-+l+_binary64_20471` `distribute-lft-in_binary64_20487`
7×	`pow1_binary64_20599` `flip3-+_binary64_20541` `flip-+_binary64_20512`
6×	`add-log-exp_binary64_20577` `div-inv_binary64_20535` `associate-/l*_binary64_20483`
5×	`associate-r_binary64_20478`
4×	`cbrt-undiv_binary64_20572` `sub-neg_binary64_20531`
3×	`associate-l_binary64_20479`
2×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `associate-/l/_binary64_20485` `1-exp_binary64_20582` `rec-exp_binary64_20588` `associate-*r/_binary64_20480`
1×	`sum-log_binary64_20629` `+-commutative_binary64_20468` `inv-pow_binary64_20623` `pow-flip_binary64_20612` `pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513` `difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490` `*-commutative_binary64_20469`

Counts

4 → 164

Calls

4 calls:

17.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))
13.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
10.0ms	(*.f64 z (-.f64 t a))
8.0ms	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))

Compiler

Compiled 5705 to 1088 computations (80.9% saved)

series4.2s (16.6%)

Error

1.4b

Counts

4 → 137

Calls

4 calls:

2.1s	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x)))
1.3s	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 z (-.f64 t a)) (*.f64 y x))))
350.0ms	(+.f64 (.f64 z (-.f64 t a)) (.f64 y x))
123.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 21514 to 13124 computations (39% saved)

simplify195.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4999	16053
1	4999	16053

prune495.0ms (2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	300	15	315

Error

1.4b

Counts

315 → 15

Compiler

Compiled 13281 to 3416 computations (74.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.9b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
1.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
23.6b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite173.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

37×	`add-sqr-sqrt_binary64_20560`
29×	`*-un-lft-identity_binary64_20538`
26×	`add-cube-cbrt_binary64_20573`
20×	`times-frac_binary64_20544` `associate-r_binary64_20478`
19×	`add-exp-log_binary64_20576`
13×	`add-cbrt-cube_binary64_20574`
12×	`cancel-sign-sub-inv_binary64_20504`
9×	`pow1_binary64_20599`
8×	`distribute-rgt-in_binary64_20488` `associate-+r+_binary64_20470` `distribute-lft-in_binary64_20487`
6×	`add-log-exp_binary64_20577` `associate-l_binary64_20479`
5×	`prod-exp_binary64_20587` `flip3-+_binary64_20541` `flip-+_binary64_20512`
4×	`div-exp_binary64_20589` `unswap-sqr_binary64_20506` `associate-/r/_binary64_20484` `sub-neg_binary64_20531`
3×	`cbrt-unprod_binary64_20571` `associate-r/_binary64_20480` `associate-/l_binary64_20483` `associate-/r*_binary64_20482`
2×	`pow-prod-down_binary64_20609` `1-exp_binary64_20582` `rec-exp_binary64_20588` `cbrt-undiv_binary64_20572` `frac-times_binary64_20548` `associate-l/_binary64_20481` `div-inv_binary64_20535` `-commutative_binary64_20469`
1×	`un-div-inv_binary64_20536` `sum-log_binary64_20629` `+-commutative_binary64_20468` `inv-pow_binary64_20623` `pow-flip_binary64_20612` `frac-2neg_binary64_20549` `clear-num_binary64_20537` `flip3--_binary64_20542` `flip--_binary64_20513` `difference-of-squares_binary64_20507` `distribute-lft-out--_binary64_20490`

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)))))
7.0ms	(*.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)

series2.2s (8.8%)

Error

1.4b

Counts

4 → 115

Calls

4 calls:

1.3s	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
347.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
270.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
109.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 11421 to 6889 computations (39.7% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4987	8367
1	4987	8367

prune645.0ms (2.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	240	14	254

Error

1.4b

Counts

254 → 14

Compiler

Compiled 8459 to 2464 computations (70.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

19.1b	(cbrt.f64 (*.f64 z (-.f64 b y)))
19.1b	(cbrt.f64 (*.f64 z (-.f64 b y)))
19.1b	(cbrt.f64 (*.f64 z (-.f64 b y)))
24.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z (-.f64 b y))) (cbrt.f64 (.f64 z (-.f64 b y)))) (cbrt.f64 (*.f64 z (-.f64 b y))))))

rewrite126.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

12×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560` `*-un-lft-identity_binary64_20538`
9×	`times-frac_binary64_20544`
6×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574` `associate-*r/_binary64_20480` `cbrt-div_binary64_20570`
4×	`pow1_binary64_20599` `add-log-exp_binary64_20577`
3×	`associate-/l_binary64_20483` `associate-/r_binary64_20482` `pow1/3_binary64_20620` `flip3--_binary64_20542` `flip--_binary64_20513` `cbrt-prod_binary64_20569`
2×	`flip3-+_binary64_20541` `associate-/l/_binary64_20485` `flip-+_binary64_20512` `associate-/r/_binary64_20484`
1×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `frac-2neg_binary64_20549` `clear-num_binary64_20537` `div-inv_binary64_20535`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 3159 to 320 computations (89.9% saved)

series2.8s (11.2%)

Error

1.4b

Counts

4 → 89

Calls

4 calls:

1.6s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 (cbrt.f64 (.f64 z (-.f64 b y))) (cbrt.f64 (.f64 z (-.f64 b y)))) (cbrt.f64 (*.f64 z (-.f64 b y))))))
366.0ms	(cbrt.f64 (*.f64 z (-.f64 b y)))
320.0ms	(cbrt.f64 (*.f64 z (-.f64 b y)))
303.0ms	(cbrt.f64 (*.f64 z (-.f64 b y)))

Compiler

Compiled 13028 to 7956 computations (38.9% saved)

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5197	6827

prune227.0ms (0.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	153	14	167

Error

0.7b

Counts

167 → 14

Compiler

Compiled 6941 to 1714 computations (75.3% saved)

regimes5.4s (21.4%)

Accuracy

Total 8.0b remaining (95.5%)

Threshold costs 0b (0%)

Compiler

Compiled 31840 to 20522 computations (35.5% saved)

bsearch10.0ms (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	180	317
1	180	317

end0.0ms (0%)

sample3.8s (14.8%)

Algorithm

1×

intervals

Results

544.0ms	8000×	body	128	valid
29.0ms	470×	body	128	invalid

Compiler

Compiled 3904 to 2457 computations (37.1% saved)

Details

analyze1.8s (7.3%)

sample39.0ms (0.2%)

simplify127.0ms (0.5%)

prune2.0ms (0%)

localize12.0ms (0%)

rewrite190.0ms (0.7%)

series1.8s (7.2%)

simplify80.0ms (0.3%)

prune289.0ms (1.1%)

localize13.0ms (0.1%)

rewrite252.0ms (1%)

series4.2s (16.6%)

simplify195.0ms (0.8%)

prune495.0ms (2%)

localize17.0ms (0.1%)

rewrite173.0ms (0.7%)

series2.2s (8.8%)

simplify127.0ms (0.5%)

prune645.0ms (2.5%)

localize27.0ms (0.1%)

rewrite126.0ms (0.5%)

series2.8s (11.2%)

simplify140.0ms (0.6%)

prune227.0ms (0.9%)

regimes5.4s (21.4%)

bsearch10.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.8s (14.8%)

Profiling