Details

analyze1.2s (16.9%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify265.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5059	19

prune11.0ms (0.2%)

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

3.6b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.8b	(/.f64 (.f64 y t) (.f64 2 z))
4.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
4.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.8b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_11748` `*-un-lft-identity_binary64_11726`
16×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762` `times-frac_binary64_11732`
12×	`add-cube-cbrt_binary64_11761`
6×	`associate-/r*_binary64_11670`
5×	`cbrt-undiv_binary64_11760` `div-exp_binary64_11777`
4×	`distribute-lft-out--_binary64_11678` `associate-/l*_binary64_11671` `prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `difference-of-squares_binary64_11695`
2×	`clear-num_binary64_11725` `add-log-exp_binary64_11765` `div-inv_binary64_11723` `frac-2neg_binary64_11737` `pow1_binary64_11787` `associate-/r/_binary64_11672`
1×	`flip3--_binary64_11730` `flip--_binary64_11701`

Counts

2 → 58

Calls

4 calls:

11.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
10.0ms	(/.f64 (.f64 y t) (.f64 2 z))
0.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
0.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series323.0ms (4.7%)

Counts

2 → 18

Calls

2 calls:

192.0ms	(/.f64 (.f64 y t) (.f64 2 z))
131.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

Compiler

Compiled 457 to 412 computations (9.8% saved)

simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5009	1350

prune131.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 1397 to 689 computations (50.7% saved)

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

4.3b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
4.2b	(/.f64 y (/.f64 2 (/.f64 t z)))
0.9b	(/.f64 2 (/.f64 t z))
0.9b	(/.f64 2 (/.f64 t z))
4.2b	(/.f64 y (/.f64 2 (/.f64 t z)))
4.3b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite218.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

519×	`times-frac_binary64_11732`
299×	`add-sqr-sqrt_binary64_11748`
251×	`*-un-lft-identity_binary64_11726`
243×	`add-cube-cbrt_binary64_11761`
65×	`associate-/r*_binary64_11670`
23×	`div-inv_binary64_11723`
19×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762`
16×	`difference-of-squares_binary64_11695`
10×	`cbrt-undiv_binary64_11760` `div-exp_binary64_11777`
9×	`associate-/l*_binary64_11671`
8×	`associate-/r/_binary64_11672`
4×	`distribute-lft-out--_binary64_11678`
3×	`clear-num_binary64_11725` `add-log-exp_binary64_11765` `frac-2neg_binary64_11737` `pow1_binary64_11787`
1×	`flip3--_binary64_11730` `flip--_binary64_11701`

Counts

3 → 315

Calls

6 calls:

86.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
27.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
12.0ms	(/.f64 2 (/.f64 t z))
0.0ms	(/.f64 2 (/.f64 t z))
0.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

series426.0ms (6.3%)

Counts

3 → 24

Calls

3 calls:

212.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
121.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
93.0ms	(/.f64 2 (/.f64 t z))

Compiler

Compiled 613 to 544 computations (11.3% saved)

simplify224.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4968	7805
1	4968	7805

prune610.0ms (9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	339	2	341

Error

Counts

341 → 2

Compiler

Compiled 7798 to 3528 computations (54.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 -2 (/.f64 z t))
0.0b	(-.f64 x (*.f64 -2 (/.f64 z t)))
0.0b	(*.f64 -2 (/.f64 z t))
0.0b	(-.f64 x (*.f64 -2 (/.f64 z t)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_11748`
13×	`associate-r_binary64_11666`
10×	`add-cube-cbrt_binary64_11761` `times-frac_binary64_11732` `*-un-lft-identity_binary64_11726`
7×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762`
4×	`add-log-exp_binary64_11765` `pow1_binary64_11787`
3×	`associate-l_binary64_11667`
2×	`prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `unswap-sqr_binary64_11694`
1×	`-commutative_binary64_11657` `pow-prod-down_binary64_11797` `associate-r/_binary64_11668` `flip3--_binary64_11730` `cbrt-undiv_binary64_11760` `div-inv_binary64_11723` `div-exp_binary64_11777` `flip--_binary64_11701` `diff-log_binary64_11818` `cancel-sign-sub-inv_binary64_11692` `sub-neg_binary64_11719`

Counts

2 → 44

Calls

4 calls:

12.0ms	(*.f64 -2 (/.f64 z t))
5.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
0.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
0.0ms	(*.f64 -2 (/.f64 z t))

series272.0ms (4%)

Counts

2 → 24

Calls

2 calls:

200.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
72.0ms	(*.f64 -2 (/.f64 z t))

Compiler

Compiled 235 to 288 computations (-22.6% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5062	687

prune52.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Compiler

Compiled 682 to 338 computations (50.4% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	361	255
1	361	255

regimes171.0ms (2.5%)

Accuracy

Total 1.1b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 704 to 680 computations (3.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms (0%)

sample2.6s (38.3%)

Algorithm

1×

intervals

Results

680.0ms

8000×

body

128

valid

Compiler

Compiled 553 to 517 computations (6.5% saved)

Pareto

0.7810284148547356

Details

analyze1.2s (16.9%)

sample23.0ms (0.3%)

simplify265.0ms (3.9%)

prune11.0ms (0.2%)

localize19.0ms (0.3%)

rewrite31.0ms (0.5%)

series323.0ms (4.7%)

simplify107.0ms (1.6%)

prune131.0ms (1.9%)

localize17.0ms (0.3%)

rewrite218.0ms (3.2%)

series426.0ms (6.3%)

simplify224.0ms (3.3%)

prune610.0ms (9%)

localize11.0ms (0.2%)

rewrite23.0ms (0.3%)

series272.0ms (4%)

simplify98.0ms (1.4%)

prune52.0ms (0.8%)

simplify18.0ms (0.3%)

regimes171.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (38.3%)

Profiling