Details

analyze628.0ms (7.7%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	76×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify151.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

6.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

6.4b	(/.f64 (*.f64 y (-.f64 z x)) t)
0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
6.4b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
10×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
9×	`add-cube-cbrt_binary64_6933`
6×	`cancel-sign-sub-inv_binary64_6864`
5×	`associate-r_binary64_6838` `pow1_binary64_6959` `add-log-exp_binary64_6937`
4×	`distribute-lft-in_binary64_6847` `associate-*r/_binary64_6840` `distribute-rgt-in_binary64_6848`
3×	`associate-/r_binary64_6842` `times-frac_binary64_6904` `associate-l*_binary64_6839`
2×	`sub-neg_binary64_6891` `prod-exp_binary64_6947` `div-exp_binary64_6949` `flip--_binary64_6873` `cbrt-undiv_binary64_6932` `cbrt-unprod_binary64_6931` `flip3--_binary64_6902` `associate-/l/_binary64_6845`
1×	`flip-+_binary64_6872` `distribute-lft-out_binary64_6849` `+-commutative_binary64_6828` `distribute-lft-out--_binary64_6850` `flip3-+_binary64_6901` `unswap-sqr_binary64_6866` `-commutative_binary64_6829` `clear-num_binary64_6897` `sum-log_binary64_6989` `pow-prod-down_binary64_6969` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `associate-/l_binary64_6843` `difference-of-squares_binary64_6867`

Counts

3 → 65

Calls

6 calls:

9.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
8.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0ms	(*.f64 y (-.f64 z x))

series605.0ms (7.4%)

Counts

3 → 57

Calls

3 calls:

300.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
205.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
100.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 940 to 797 computations (15.2% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5049	1318

prune90.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Error

Counts

123 → 7

Compiler

Compiled 1435 to 296 computations (79.4% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

5.3b	(/.f64 y (/.f64 t (-.f64 z x)))
0.0b	(/.f64 t (-.f64 z x))
0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
5.3b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_6904`
105×	`*-un-lft-identity_binary64_6898`
103×	`add-sqr-sqrt_binary64_6920`
71×	`add-cube-cbrt_binary64_6933`
26×	`associate-/r*_binary64_6842`
16×	`distribute-lft-out--_binary64_6850` `difference-of-squares_binary64_6867`
11×	`associate-/r/_binary64_6844`
10×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
6×	`div-inv_binary64_6895` `associate-/l*_binary64_6843`
5×	`add-log-exp_binary64_6937` `flip--_binary64_6873` `flip3--_binary64_6902`
4×	`div-exp_binary64_6949` `cbrt-undiv_binary64_6932`
3×	`pow1_binary64_6959`
2×	`clear-num_binary64_6897` `frac-2neg_binary64_6909`
1×	`flip-+_binary64_6872` `distribute-lft-out_binary64_6849` `+-commutative_binary64_6828` `flip3-+_binary64_6901` `sum-log_binary64_6989`

Counts

3 → 151

Calls

6 calls:

21.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
11.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
6.0ms	(/.f64 t (-.f64 z x))
0.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0ms	(/.f64 t (-.f64 z x))

series603.0ms (7.4%)

Counts

3 → 60

Calls

3 calls:

284.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
207.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
112.0ms	(/.f64 t (-.f64 z x))

Compiler

Compiled 1162 to 962 computations (17.2% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5012	3666

prune138.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	212	6	218

Error

Counts

218 → 6

Compiler

Compiled 3309 to 654 computations (80.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.8b	(*.f64 (/.f64 y t) (-.f64 z x))
0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
5.8b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_6920`
16×	`*-un-lft-identity_binary64_6898`
14×	`add-cube-cbrt_binary64_6933`
13×	`associate-l_binary64_6839`
12×	`cancel-sign-sub-inv_binary64_6864`
10×	`times-frac_binary64_6904`
8×	`associate-+r+_binary64_6830` `distribute-lft-in_binary64_6847` `distribute-rgt-in_binary64_6848`
7×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
5×	`associate-r_binary64_6838`
4×	`sub-neg_binary64_6891` `pow1_binary64_6959` `add-log-exp_binary64_6937`
2×	`prod-exp_binary64_6947` `flip--_binary64_6873` `frac-times_binary64_6908` `unswap-sqr_binary64_6866` `cbrt-unprod_binary64_6931` `associate-*r/_binary64_6840` `flip3--_binary64_6902`
1×	`flip-+_binary64_6872` `associate-l/_binary64_6841` `+-commutative_binary64_6828` `div-exp_binary64_6949` `distribute-lft-out--_binary64_6850` `flip3-+_binary64_6901` `cbrt-undiv_binary64_6932` `-commutative_binary64_6829` `sum-log_binary64_6989` `pow-prod-down_binary64_6969` `div-inv_binary64_6895` `difference-of-squares_binary64_6867`

Counts

2 → 65

Calls

4 calls:

12.0ms	(*.f64 (/.f64 y t) (-.f64 z x))
5.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
0.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
0.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series500.0ms (6.1%)

Counts

2 → 42

Calls

2 calls:

290.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
210.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

Compiler

Compiled 706 to 593 computations (16% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5163	1365

prune63.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Error

Counts

113 → 6

Compiler

Compiled 1392 to 279 computations (80% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

5.3b	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))
0.3b	(*.f64 t (/.f64 1 (-.f64 z x)))
0.0b	(/.f64 1 (-.f64 z x))
0.0b	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
0.0b	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(*.f64 t (/.f64 1 (-.f64 z x)))
5.3b	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_6920`
43×	`*-un-lft-identity_binary64_6898`
35×	`times-frac_binary64_6904`
32×	`add-exp-log_binary64_6936`
26×	`add-cube-cbrt_binary64_6933`
21×	`associate-r_binary64_6838`
20×	`add-cbrt-cube_binary64_6934`
11×	`div-exp_binary64_6949`
8×	`prod-exp_binary64_6947`
7×	`pow1_binary64_6959` `distribute-lft-out--_binary64_6850` `difference-of-squares_binary64_6867`
6×	`add-log-exp_binary64_6937` `cbrt-undiv_binary64_6932` `associate-/r/_binary64_6844` `associate-/r_binary64_6842` `associate-/l_binary64_6843`
4×	`cbrt-unprod_binary64_6931`
3×	`1-exp_binary64_6942` `rec-exp_binary64_6948` `unswap-sqr_binary64_6866` `div-inv_binary64_6895` `associate-l_binary64_6839`
2×	`un-div-inv_binary64_6896` `flip--_binary64_6873` `associate-*r/_binary64_6840` `clear-num_binary64_6897` `flip3--_binary64_6902` `frac-2neg_binary64_6909`
1×	`flip-+_binary64_6872` `pow-flip_binary64_6972` `distribute-lft-out_binary64_6849` `+-commutative_binary64_6828` `flip3-+_binary64_6901` `*-commutative_binary64_6829` `sum-log_binary64_6989` `pow-prod-down_binary64_6969` `inv-pow_binary64_6983`

Counts

4 → 124

Calls

8 calls:

13.0ms	(*.f64 t (/.f64 1 (-.f64 z x)))
10.0ms	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))
7.0ms	(/.f64 1 (-.f64 z x))
7.0ms	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
0.0ms	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))

series676.0ms (8.3%)

Counts

4 → 75

Calls

4 calls:

291.0ms	(+.f64 x (/.f64 y (*.f64 t (/.f64 1 (-.f64 z x)))))
206.0ms	(/.f64 y (*.f64 t (/.f64 1 (-.f64 z x))))
116.0ms	(*.f64 t (/.f64 1 (-.f64 z x)))
62.0ms	(/.f64 1 (-.f64 z x))

Compiler

Compiled 1546 to 1292 computations (16.4% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4969	2319
1	4969	2319

prune125.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	199	6	205

Error

Counts

205 → 6

Compiler

Compiled 2674 to 863 computations (67.7% saved)

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	1331	427
1	1331	427

regimes371.0ms (4.6%)

Compiler: Compiled 1481 to 1302 computations (12.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

regimes242.0ms (3%)

Compiler: Compiled 536 to 647 computations (-20.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

regimes147.0ms (1.8%)

Compiler: Compiled 356 to 448 computations (-25.8% saved)

bsearch30.0ms (0.4%)

Steps

Iters	Range		Point
6	2.8729179011121848e-272	1.1582342702912728e-271	1.111667110290758e-271
8	-7.067176775767917e-83	-6.173068264948729e-86	-5.026611182633652e-85

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes233.0ms (2.9%)

Compiler: Compiled 320 to 416 computations (-30% saved)

bsearch106.0ms (1.3%)

Steps

Iters	Range		Point
9	9.832840751001084e-63	7.725973691594137e-57	9.569566529871754e-62
6	6.530594739256961e-79	4.181649991045742e-78	7.565506211054061e-79
9	1.6833257641354824e-121	1.498949493133714e-116	1.2107636882196295e-116
5	-6.86215385795928e-213	-2.0833751800478786e-213	-6.699490179410647e-213
9	-2.3027959680476347e-163	-4.80489976940847e-170	-2.2726686167378452e-163
8	-3.6358296699741468e-121	-1.1985760087372004e-125	-1.2328847118512386e-125

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes213.0ms (2.6%)

Compiler: Compiled 288 to 384 computations (-33.3% saved)

bsearch65.0ms (0.8%)

Steps

Iters	Range		Point
7	5.548016433680706e-81	6.530594739256961e-79	3.711007259671276e-79
5	-6.86215385795928e-213	-2.0833751800478786e-213	-6.699490179410647e-213
9	-2.3027959680476347e-163	-4.80489976940847e-170	-9.218321964634582e-167
8	-3.6358296699741468e-121	-1.1985760087372004e-125	-4.4936408961461836e-125

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes177.0ms (2.2%)

Compiler: Compiled 260 to 352 computations (-35.4% saved)

bsearch65.0ms (0.8%)

Steps

Iters	Range		Point
7	5.548016433680706e-81	6.530594739256961e-79	5.661579578006523e-81
5	-6.86215385795928e-213	-2.0833751800478786e-213	-6.699490179410647e-213
9	-2.3027959680476347e-163	-4.80489976940847e-170	-3.2300503804616212e-164
8	-3.6358296699741468e-121	-1.1985760087372004e-125	-1.2328847118512386e-125

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes160.0ms (2%)

Compiler: Compiled 204 to 296 computations (-45.1% saved)

bsearch48.0ms (0.6%)

Steps

Iters	Range		Point
10	4.10244760934071e-152	6.437187030755078e-142	3.4193503751268194e-144
7	-5.75206020739764e-112	-2.3276451692548e-113	-3.6498297679654513e-112

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes53.0ms (0.7%)

Compiler: Compiled 92 to 184 computations (-100% saved)

bsearch0.0ms (0%)

regimes141.0ms (1.7%)

Compiler: Compiled 64 to 156 computations (-143.8% saved)

bsearch76.0ms (0.9%)

Steps

Iters	Range		Point
8	1.569570361419659e-08	0.00010323440451509003	2.783364133062069e-08
8	2.6976687715510077e-63	1.4302636393300318e-59	1.1501813924542043e-61
9	6.437187030755078e-142	5.659695034758872e-137	2.747959266083649e-137
8	-1.850056156167111e-38	-2.877009207877545e-42	-3.070535798668593e-39

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes133.0ms (1.6%)

Compiler: Compiled 44 to 132 computations (-200% saved)

bsearch79.0ms (1%)

Steps

Iters	Range		Point
8	1.569570361419659e-08	0.00010323440451509003	1.9006050264130434e-08
8	2.6976687715510077e-63	1.4302636393300318e-59	2.9806613133305926e-60
9	6.437187030755078e-142	5.659695034758872e-137	1.8867723340850387e-139
8	-1.850056156167111e-38	-2.877009207877545e-42	-4.77956212560203e-42

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes39.0ms (0.5%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes36.0ms (0.4%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

Accuracy

Total 0.9b remaining (99.5%)

Threshold costs 0.9b (99.5%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch15.0ms (0.2%)

Compiler: Compiled 408 to 223 computations (45.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	214	555
1	214	555

end0.0ms (0%)

sample1.5s (18.9%)

Algorithm

1×

intervals

Results

479.0ms	8000×	body	128	valid
67.0ms	2033×	body	128	invalid

Compiler

Compiled 690 to 493 computations (28.6% saved)

Pareto

0.44107879193040045

Details

analyze628.0ms (7.7%)

sample23.0ms (0.3%)

simplify151.0ms (1.9%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite27.0ms (0.3%)

series605.0ms (7.4%)

simplify60.0ms (0.7%)

prune90.0ms (1.1%)

localize7.0ms (0.1%)

rewrite53.0ms (0.6%)

series603.0ms (7.4%)

simplify85.0ms (1%)

prune138.0ms (1.7%)

localize7.0ms (0.1%)

rewrite22.0ms (0.3%)

series500.0ms (6.1%)

simplify60.0ms (0.7%)

prune63.0ms (0.8%)

localize9.0ms (0.1%)

rewrite49.0ms (0.6%)

series676.0ms (8.3%)

simplify87.0ms (1.1%)

prune125.0ms (1.5%)

simplify52.0ms (0.6%)

regimes371.0ms (4.6%)

bsearch1.0ms (0%)

regimes242.0ms (3%)

bsearch1.0ms (0%)

regimes147.0ms (1.8%)

bsearch30.0ms (0.4%)

regimes233.0ms (2.9%)

bsearch106.0ms (1.3%)

regimes213.0ms (2.6%)

bsearch65.0ms (0.8%)

regimes177.0ms (2.2%)

bsearch65.0ms (0.8%)

regimes160.0ms (2%)

bsearch48.0ms (0.6%)

regimes53.0ms (0.7%)

bsearch0.0ms (0%)

regimes141.0ms (1.7%)

bsearch76.0ms (0.9%)

regimes133.0ms (1.6%)

bsearch79.0ms (1%)

regimes39.0ms (0.5%)

bsearch0.0ms (0%)

regimes36.0ms (0.4%)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

bsearch15.0ms (0.2%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample1.5s (18.9%)

Profiling