Details

analyze1.4s (6.5%)

Algorithm

1×

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)

sample28.0ms (0.1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify189.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

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

24.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_20901`
26×	`*-un-lft-identity_binary64_20879`
22×	`add-cube-cbrt_binary64_20914`
18×	`cancel-sign-sub-inv_binary64_20845`
12×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917` `associate-r_binary64_20819`
9×	`times-frac_binary64_20885`
8×	`associate-+r+_binary64_20811` `pow1_binary64_20940`
6×	`associate-l_binary64_20820` `sub-neg_binary64_20872` `add-log-exp_binary64_20918`
4×	`associate-*r/_binary64_20821`
3×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `flip3-+_binary64_20882` `flip-+_binary64_20853`
2×	`flip3--_binary64_20883` `flip--_binary64_20854` `pow-prod-down_binary64_20950` `associate-/l/_binary64_20826` `associate-/r/_binary64_20825` `distribute-lft-out--_binary64_20831` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `difference-of-squares_binary64_20848` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `div-inv_binary64_20876` `clear-num_binary64_20878`

Counts

4 → 110

Calls

8 calls:

9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
7.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

series1.5s (7.2%)

Counts

4 → 104

Calls

4 calls:

1.1s	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
256.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
102.0ms	(*.f64 z (-.f64 t a))
96.0ms	(*.f64 z (-.f64 b y))

Compiler

Compiled 5435 to 3806 computations (30% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5197	6662

prune331.0ms (1.6%)

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 6910 to 1660 computations (76% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite55.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_20885`
66×	`add-sqr-sqrt_binary64_20901`
64×	`*-un-lft-identity_binary64_20879`
62×	`add-cube-cbrt_binary64_20914`
19×	`add-exp-log_binary64_20917`
18×	`associate-/r*_binary64_20823`
13×	`add-cbrt-cube_binary64_20915`
12×	`cancel-sign-sub-inv_binary64_20845`
11×	`associate-/r/_binary64_20825`
8×	`div-exp_binary64_20930` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-+r+_binary64_20811`
7×	`flip3-+_binary64_20882` `flip-+_binary64_20853` `pow1_binary64_20940`
6×	`associate-/l*_binary64_20824` `div-inv_binary64_20876` `add-log-exp_binary64_20918`
5×	`associate-r_binary64_20819`
4×	`cbrt-undiv_binary64_20913` `sub-neg_binary64_20872`
3×	`associate-l_binary64_20820`
2×	`associate-/l/_binary64_20826` `rec-exp_binary64_20929` `frac-2neg_binary64_20890` `1-exp_binary64_20923` `clear-num_binary64_20878` `associate-*r/_binary64_20821`
1×	`flip3--_binary64_20883` `inv-pow_binary64_20964` `flip--_binary64_20854` `pow-prod-down_binary64_20950` `+-commutative_binary64_20809` `sum-log_binary64_20970` `distribute-lft-out--_binary64_20831` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `pow-flip_binary64_20953` `difference-of-squares_binary64_20848` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`

Counts

4 → 164

Calls

8 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
8.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

series3.3s (15.4%)

Counts

4 → 137

Calls

4 calls:

1.8s	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
1.1s	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
254.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
102.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 13529 to 9240 computations (31.7% saved)

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5025	16065

prune428.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	298	3	301
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	301	14	315

Error

1.4b

Counts

315 → 14

Compiler

Compiled 13341 to 3450 computations (74.1% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_20901`
29×	`*-un-lft-identity_binary64_20879`
26×	`add-cube-cbrt_binary64_20914`
20×	`times-frac_binary64_20885` `associate-r_binary64_20819`
19×	`add-exp-log_binary64_20917`
13×	`add-cbrt-cube_binary64_20915`
12×	`cancel-sign-sub-inv_binary64_20845`
9×	`pow1_binary64_20940`
8×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-+r+_binary64_20811`
6×	`associate-l_binary64_20820` `add-log-exp_binary64_20918`
5×	`flip3-+_binary64_20882` `flip-+_binary64_20853` `prod-exp_binary64_20928`
4×	`div-exp_binary64_20930` `associate-/r/_binary64_20825` `sub-neg_binary64_20872` `unswap-sqr_binary64_20847`
3×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `cbrt-unprod_binary64_20912` `associate-*r/_binary64_20821`
2×	`pow-prod-down_binary64_20950` `rec-exp_binary64_20929` `cbrt-undiv_binary64_20913` `1-exp_binary64_20923` `div-inv_binary64_20876` `-commutative_binary64_20810` `associate-l/_binary64_20822` `frac-times_binary64_20889`
1×	`flip3--_binary64_20883` `inv-pow_binary64_20964` `flip--_binary64_20854` `un-div-inv_binary64_20877` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `distribute-lft-out--_binary64_20831` `pow-flip_binary64_20953` `clear-num_binary64_20878` `difference-of-squares_binary64_20848`

Counts

4 → 124

Calls

8 calls:

13.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
10.0ms	(*.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))))
0.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

series1.7s (7.9%)

Counts

4 → 115

Calls

4 calls:

1.1s	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
258.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
232.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
109.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 6514 to 4666 computations (28.4% saved)

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4987	8367
1	4987	8367

prune275.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	240	13	253

Error

1.4b

Counts

253 → 13

Compiler

Compiled 8466 to 2447 computations (71.1% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 y (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))) (/.f64 (.f64 z b) (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))) (/.f64 (.f64 y z) (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
0.0b	(*.f64 z (-.f64 t a))
0.0b	(*.f64 z (-.f64 t a))
0.0b	(*.f64 z (-.f64 t a))
1.2b	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
11.8b	(/.f64 y (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
16.5b	(/.f64 (.f64 z b) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))
19.6b	(/.f64 (.f64 y z) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))

rewrite42.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_20901` `add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
16×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
15×	`times-frac_binary64_20885`
9×	`associate-/r*_binary64_20823`
8×	`associate-+r+_binary64_20811`
6×	`associate-/r/_binary64_20825` `cancel-sign-sub-inv_binary64_20845` `add-log-exp_binary64_20918`
5×	`associate-/l*_binary64_20824` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
4×	`distribute-rgt-in_binary64_20829` `flip3-+_binary64_20882` `distribute-lft-in_binary64_20828` `flip-+_binary64_20853` `pow1_binary64_20940`
3×	`frac-2neg_binary64_20890` `div-inv_binary64_20876` `clear-num_binary64_20878`
2×	`sub-neg_binary64_20872` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`+-commutative_binary64_20809` `sum-log_binary64_20970`

Counts

4 → 94

Calls

8 calls:

9.0ms	(/.f64 (.f64 y z) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))
7.0ms	(/.f64 (.f64 z b) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))
6.0ms	(/.f64 y (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
6.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
0.0ms	(*.f64 z (-.f64 t a))

series1.8s (8.2%)

Counts

4 → 129

Calls

4 calls:

578.0ms	(/.f64 (.f64 z b) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))
522.0ms	(/.f64 y (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
378.0ms	(/.f64 (.f64 y z) (+.f64 (.f64 y x) (*.f64 z (-.f64 t a))))
277.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

Compiler

Compiled 11714 to 7082 computations (39.5% saved)

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5008	5521

prune264.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	223	13	236

Error

1.2b

Counts

236 → 13

Compiler

Compiled 10769 to 1433 computations (86.7% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5021	3286

regimes2.5s (11.6%)

Compiler: Compiled 17763 to 10947 computations (38.4% saved)

bsearch5.0ms (0%)

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

regimes1.2s (5.4%)

Compiler: Compiled 5746 to 4617 computations (19.6% saved)

bsearch2.0ms (0%)

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

regimes1.0s (4.8%)

Compiler: Compiled 2026 to 2314 computations (-14.2% saved)

bsearch42.0ms (0.2%)

Steps

Iters	Range		Point
10	4.2689552823985014e-98	1.9891361092251266e-88	1.9694237423089422e-88
4	-1755312367252797.8	-1078700819016832.6	-1090010360205297.6

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes812.0ms (3.8%)

Compiler: Compiled 1635 to 1961 computations (-19.9% saved)

bsearch61.0ms (0.3%)

Steps

Iters	Range		Point
10	4.2689552823985014e-98	1.9891361092251266e-88	1.2187309501441571e-89
10	-1078700819016832.6	-0.0425741571642451	-0.04340658185522825

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes615.0ms (2.9%)

Compiler: Compiled 998 to 1311 computations (-31.4% saved)

bsearch78.0ms (0.4%)

Steps

Iters	Range		Point
10	28274632842.873096	1.9342429878317875e+20	24471426565494.156
8	2.357695567168304e-131	1.5849793021698734e-128	3.0137540752741964e-130
10	-1078700819016832.6	-0.0425741571642451	-3245.394753813225

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes514.0ms (2.4%)

Compiler: Compiled 816 to 1136 computations (-39.2% saved)

bsearch41.0ms (0.2%)

Steps

Iters	Range		Point
5	1.0418383488508377e-100	3.60004254131357e-100	3.5374700614535805e-100
10	-1078700819016832.6	-0.0425741571642451	-1.2903271998760588

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes68.0ms (0.3%)

Compiler: Compiled 66 to 288 computations (-336.4% saved)

bsearch0.0ms (0%)

regimes63.0ms (0.3%)

Compiler: Compiled 36 to 234 computations (-550% saved)

bsearch0.0ms (0%)

regimes58.0ms (0.3%)

Accuracy

Total 7.9b remaining (89.7%)

Threshold costs 0b (0%)

Compiler

Compiled 30 to 198 computations (-560% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 447 to 179 computations (60% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	158	584
1	158	584

end0.0ms (0%)

sample2.3s (10.8%)

Algorithm

1×

intervals

Results

440.0ms	8000×	body	128	valid
25.0ms	470×	body	128	invalid

Compiler

Compiled 2630 to 1563 computations (40.6% saved)

Pareto

0.6289878791964284

Details

analyze1.4s (6.5%)

sample28.0ms (0.1%)

simplify189.0ms (0.9%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite38.0ms (0.2%)

series1.5s (7.2%)

simplify79.0ms (0.4%)

prune331.0ms (1.6%)

localize15.0ms (0.1%)

rewrite55.0ms (0.3%)

series3.3s (15.4%)

simplify152.0ms (0.7%)

prune428.0ms (2%)

localize14.0ms (0.1%)

rewrite45.0ms (0.2%)

series1.7s (7.9%)

simplify112.0ms (0.5%)

prune275.0ms (1.3%)

localize19.0ms (0.1%)

rewrite42.0ms (0.2%)

series1.8s (8.2%)

simplify100.0ms (0.5%)

prune264.0ms (1.2%)

simplify145.0ms (0.7%)

regimes2.5s (11.6%)

bsearch5.0ms (0%)

regimes1.2s (5.4%)

bsearch2.0ms (0%)

regimes1.0s (4.8%)

bsearch42.0ms (0.2%)

regimes812.0ms (3.8%)

bsearch61.0ms (0.3%)

regimes615.0ms (2.9%)

bsearch78.0ms (0.4%)

regimes514.0ms (2.4%)

bsearch41.0ms (0.2%)

regimes68.0ms (0.3%)

bsearch0.0ms (0%)

regimes63.0ms (0.3%)

bsearch0.0ms (0%)

regimes58.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample2.3s (10.8%)

Profiling