Details

analyze887.0ms (6.7%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample29.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	719	13
1	719	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

5.9b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)
0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`add-cube-cbrt_binary64_11025`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-r_binary64_10930`
4×	`associate-*r/_binary64_10932` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`times-frac_binary64_10996` `associate-/r_binary64_10934` `associate-l*_binary64_10931`
2×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `associate-/l/_binary64_10937` `flip--_binary64_10965` `div-exp_binary64_11041` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023` `cbrt-undiv_binary64_11024`
1×	`sum-log_binary64_11081` `distribute-lft-out--_binary64_10942` `clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `associate-/l_binary64_10935` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `frac-2neg_binary64_11001` `div-inv_binary64_10987` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 65

Calls

6 calls:

9.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms	(*.f64 y (-.f64 z t))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series658.0ms (5%)

Counts

3 → 63

Calls

3 calls:

355.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
205.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
97.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1031 to 972 computations (5.7% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5038	1370

prune106.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	118	10	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	10	129

Error

Counts

129 → 10

Compiler

Compiled 1538 to 343 computations (77.7% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 a)
0.3b	(/.f64 (-.f64 z t) (cbrt.f64 a))
0.2b	(/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a)))
0.0b	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a))))
0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.6b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
5.6b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64_11012`
45×	`*-un-lft-identity_binary64_10990`
40×	`times-frac_binary64_10996` `associate-r_binary64_10930`
39×	`cbrt-prod_binary64_11021`
33×	`add-cube-cbrt_binary64_11025`
27×	`add-exp-log_binary64_11028`
18×	`add-cbrt-cube_binary64_11026`
13×	`pow1_binary64_11051` `associate-l_binary64_10931`
10×	`unswap-sqr_binary64_10958`
9×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
8×	`pow1/3_binary64_11072`
7×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
6×	`distribute-lft-out--_binary64_10942` `difference-of-squares_binary64_10959` `swap-sqr_binary64_10957`
4×	`add-log-exp_binary64_11029`
3×	`pow-prod-down_binary64_11061`
2×	`div-inv_binary64_10987` `pow-sqr_binary64_10963` `pow-prod-up_binary64_11060` `*-commutative_binary64_10921`
1×	`frac-times_binary64_11000` `associate-r/_binary64_10932` `pow-plus_binary64_11053` `pow2_binary64_11071` `associate-l/_binary64_10933`

Counts

4 → 133

Calls

8 calls:

21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
9.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
0.0ms	(+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a))))

series475.0ms (3.6%)

Counts

4 → 27

Calls

4 calls:

240.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
88.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
76.0ms	(cbrt.f64 a)
71.0ms	(cbrt.f64 a)

Compiler

Compiled 664 to 600 computations (9.6% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5050	2009

prune127.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	160	10	170

Error

Counts

170 → 10

Compiler

Compiled 3028 to 887 computations (70.7% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

6.5b	(/.f64 a (*.f64 y (-.f64 z t)))
0.5b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.0b	(+.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.0b	(*.f64 y (-.f64 z t))
0.5b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
6.5b	(/.f64 a (*.f64 y (-.f64 z t)))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_10996`
33×	`*-un-lft-identity_binary64_10990`
32×	`add-exp-log_binary64_11028` `add-sqr-sqrt_binary64_11012`
28×	`add-cube-cbrt_binary64_11025`
20×	`add-cbrt-cube_binary64_11026`
14×	`div-exp_binary64_11041`
12×	`associate-*r/_binary64_10932`
11×	`associate-/r/_binary64_10936`
10×	`associate-/r*_binary64_10934`
7×	`pow1_binary64_11051` `div-inv_binary64_10987` `cbrt-undiv_binary64_11024`
6×	`flip3--_binary64_10994` `flip--_binary64_10965` `add-log-exp_binary64_11029` `associate-/l*_binary64_10935` `cancel-sign-sub-inv_binary64_10956`
5×	`prod-exp_binary64_11039` `associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`1-exp_binary64_11034` `cbrt-unprod_binary64_11023` `rec-exp_binary64_11040` `associate-l_binary64_10931`
2×	`clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `sub-neg_binary64_10983` `frac-2neg_binary64_11001`
1×	`sum-log_binary64_11081` `distribute-lft-out--_binary64_10942` `unswap-sqr_binary64_10958` `pow-flip_binary64_11064` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `*-commutative_binary64_10921` `inv-pow_binary64_11075` `pow-prod-down_binary64_11061`

Counts

4 → 130

Calls

8 calls:

16.0ms	(+.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
9.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 a (*.f64 y (-.f64 z t)))
0.0ms	(+.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))

series855.0ms (6.5%)

Counts

4 → 81

Calls

4 calls:

365.0ms	(+.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
208.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
189.0ms	(/.f64 a (*.f64 y (-.f64 z t)))
92.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1585 to 1468 computations (7.4% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5006	2738

prune151.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	213	8	221

Error

Counts

221 → 8

Compiler

Compiled 2937 to 860 computations (70.7% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

5.5b	(/.f64 (/.f64 a y) (-.f64 z t))
0.5b	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.5b	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
5.5b	(/.f64 (/.f64 a y) (-.f64 z t))

rewrite161.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

772×	`times-frac_binary64_10996`
462×	`*-un-lft-identity_binary64_10990`
459×	`add-sqr-sqrt_binary64_11012`
327×	`add-cube-cbrt_binary64_11025`
76×	`associate-/r*_binary64_10934`
66×	`distribute-lft-out--_binary64_10942` `difference-of-squares_binary64_10959`
33×	`div-inv_binary64_10987`
29×	`add-exp-log_binary64_11028`
18×	`div-exp_binary64_11041`
17×	`add-cbrt-cube_binary64_11026`
16×	`associate-/l*_binary64_10935`
11×	`associate-/r/_binary64_10936`
9×	`cbrt-undiv_binary64_11024`
5×	`flip3--_binary64_10994` `flip--_binary64_10965` `add-log-exp_binary64_11029`
4×	`pow1_binary64_11051`
3×	`1-exp_binary64_11034` `rec-exp_binary64_11040`
2×	`clear-num_binary64_10989` `distribute-lft-out_binary64_10941` `frac-2neg_binary64_11001`
1×	`sum-log_binary64_11081` `associate-/l/_binary64_10937` `pow-flip_binary64_11064` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `inv-pow_binary64_11075`

Counts

3 → 425

Calls

6 calls:

66.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
21.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
9.0ms	(/.f64 (/.f64 a y) (-.f64 z t))
0.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))

series735.0ms (5.6%)

Counts

3 → 66

Calls

3 calls:

344.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
203.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
188.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

Compiler

Compiled 1303 to 1192 computations (8.5% saved)

simplify183.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

491 → 491

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4984	11551
1	4984	11551

prune357.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	490	1	491
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	492	7	499

Error

Counts

499 → 7

Compiler

Compiled 9798 to 2176 computations (77.8% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	1450	665
1	1450	665

regimes817.0ms (6.2%)

Compiler: Compiled 4246 to 4017 computations (5.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

regimes452.0ms (3.4%)

Compiler: Compiled 1151 to 1579 computations (-37.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

regimes423.0ms (3.2%)

Compiler: Compiled 1070 to 1498 computations (-40% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

regimes465.0ms (3.5%)

Compiler: Compiled 870 to 1276 computations (-46.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes625.0ms (4.7%)

Compiler: Compiled 789 to 1195 computations (-51.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes603.0ms (4.6%)

Compiler: Compiled 717 to 1115 computations (-55.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes608.0ms (4.6%)

Compiler: Compiled 654 to 1043 computations (-59.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes573.0ms (4.3%)

Compiler: Compiled 598 to 979 computations (-63.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes439.0ms (3.3%)

Compiler: Compiled 542 to 915 computations (-68.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes388.0ms (2.9%)

Compiler: Compiled 479 to 843 computations (-76% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes113.0ms (0.9%)

Compiler: Compiled 210 to 395 computations (-88.1% saved)

bsearch29.0ms (0.2%)

Steps

Iters	Range		Point
10	1.2364073368960873e+175	2.7637917548029828e+190	2.5645447844495938e+184

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes240.0ms (1.8%)

Compiler: Compiled 140 to 315 computations (-125% saved)

bsearch26.0ms (0.2%)

Steps

Iters	Range		Point
5	3.94559743679279e-40	1.3770240085089706e-39	7.363952084645234e-40
6	-8.639284514874064e-116	-1.7918140251290233e-116	-2.4501930820528447e-116

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes140.0ms (1.1%)

Compiler: Compiled 80 to 235 computations (-193.8% saved)

bsearch35.0ms (0.3%)

Steps

Iters	Range		Point
8	9.832491655347634e-97	2.3186680283338996e-93	3.45452832059587e-94
7	-5.663221668652921e-179	-1.4710119126798302e-180	-1.1186627941643973e-179

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes51.0ms (0.4%)

Compiler: Compiled 30 to 165 computations (-450% saved)

bsearch0.0ms (0%)

regimes45.0ms (0.3%)

Compiler: Compiled 25 to 140 computations (-460% saved)

bsearch0.0ms (0%)

regimes41.0ms (0.3%)

Accuracy

Total 0.4b remaining (99.7%)

Threshold costs 0.4b (99.7%)

Compiler

Compiled 20 to 110 computations (-450% saved)

bsearch26.0ms (0.2%)

Compiler: Compiled 1086 to 387 computations (64.4% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	219	1540
1	219	1540

end0.0ms (0%)

sample1.7s (13%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
83.0ms	2481×	body	128	invalid

Compiler

Compiled 1532 to 832 computations (45.7% saved)

Pareto

0.6114130719183339

Details

analyze887.0ms (6.7%)

sample29.0ms (0.2%)

simplify147.0ms (1.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite26.0ms (0.2%)

series658.0ms (5%)

simplify59.0ms (0.4%)

prune106.0ms (0.8%)

localize13.0ms (0.1%)

rewrite46.0ms (0.4%)

series475.0ms (3.6%)

simplify87.0ms (0.7%)

prune127.0ms (1%)

localize9.0ms (0.1%)

rewrite51.0ms (0.4%)

series855.0ms (6.5%)

simplify76.0ms (0.6%)

prune151.0ms (1.1%)

localize9.0ms (0.1%)

rewrite161.0ms (1.2%)

series735.0ms (5.6%)

simplify183.0ms (1.4%)

prune357.0ms (2.7%)

simplify67.0ms (0.5%)

regimes817.0ms (6.2%)

bsearch1.0ms (0%)

regimes452.0ms (3.4%)

bsearch1.0ms (0%)

regimes423.0ms (3.2%)

bsearch1.0ms (0%)

regimes465.0ms (3.5%)

bsearch1.0ms (0%)

regimes625.0ms (4.7%)

bsearch1.0ms (0%)

regimes603.0ms (4.6%)

bsearch1.0ms (0%)

regimes608.0ms (4.6%)

bsearch1.0ms (0%)

regimes573.0ms (4.3%)

bsearch1.0ms (0%)

regimes439.0ms (3.3%)

bsearch1.0ms (0%)

regimes388.0ms (2.9%)

bsearch1.0ms (0%)

regimes113.0ms (0.9%)

bsearch29.0ms (0.2%)

regimes240.0ms (1.8%)

bsearch26.0ms (0.2%)

regimes140.0ms (1.1%)

bsearch35.0ms (0.3%)

regimes51.0ms (0.4%)

bsearch0.0ms (0%)

regimes45.0ms (0.3%)

bsearch0.0ms (0%)

regimes41.0ms (0.3%)

bsearch26.0ms (0.2%)

simplify19.0ms (0.1%)

end0.0ms (0%)

sample1.7s (13%)

Profiling