Details

analyze620.0ms (3.5%)

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
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample21.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	84×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify350.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_760`
7×	`add-sqr-sqrt_binary64_782`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705` `times-frac_binary64_766`
4×	`distribute-lft-out--_binary64_712`
3×	`add-cube-cbrt_binary64_795`
2×	`cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `associate-/l/_binary64_707` `difference-of-squares_binary64_729` `div-exp_binary64_811`
1×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `div-inv_binary64_757` `div-sub_binary64_765` `cbrt-unprod_binary64_793` `pow1_binary64_821` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series56.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

56.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5087	513

prune52.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Error

0.0b

Counts

34 → 4

Compiler

Compiled 503 to 223 computations (55.7% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
0.3b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

rewrite129.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

831×	`times-frac_binary64_766`
589×	`*-un-lft-identity_binary64_760`
445×	`add-sqr-sqrt_binary64_782`
349×	`add-cube-cbrt_binary64_795`
96×	`distribute-lft-out--_binary64_712`
93×	`associate-/r*_binary64_704`
48×	`distribute-lft-out_binary64_711` `difference-of-squares_binary64_729`
28×	`add-exp-log_binary64_798`
22×	`div-inv_binary64_757`
18×	`div-exp_binary64_811`
16×	`add-cbrt-cube_binary64_796`
9×	`cbrt-undiv_binary64_794`
6×	`associate-/r/_binary64_706` `associate-/l*_binary64_705`
3×	`rec-exp_binary64_810` `pow1_binary64_821` `1-exp_binary64_804`
2×	`frac-2neg_binary64_771` `add-log-exp_binary64_799` `clear-num_binary64_759`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834`

Counts

2 → 418

Calls

2 calls:

27.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))
11.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))

series143.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

92.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
51.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

simplify219.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5095	12305

prune518.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	422	2	424
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	423	5	428

Error

Counts

428 → 5

Compiler

Compiled 9583 to 4237 computations (55.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 (+.f64 x y) z))
0.3b	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
0.3b	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))

rewrite92.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_760`
46×	`add-sqr-sqrt_binary64_782`
40×	`times-frac_binary64_766`
31×	`add-exp-log_binary64_798`
27×	`add-cube-cbrt_binary64_795`
24×	`associate-r_binary64_700`
19×	`add-cbrt-cube_binary64_796`
14×	`distribute-lft-out--_binary64_712`
11×	`div-exp_binary64_811`
8×	`prod-exp_binary64_809` `pow1_binary64_821`
7×	`distribute-lft-out_binary64_711` `associate-/r*_binary64_704` `difference-of-squares_binary64_729`
6×	`cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
5×	`associate-/r/_binary64_706`
4×	`cbrt-unprod_binary64_793`
3×	`add-log-exp_binary64_799` `div-inv_binary64_757` `associate-l_binary64_701` `rec-exp_binary64_810` `1-exp_binary64_804`
2×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `associate-*r/_binary64_702` `clear-num_binary64_759` `pow-prod-down_binary64_831` `flip--_binary64_735` `pow-flip_binary64_834` `flip3--_binary64_764`
1×	`inv-pow_binary64_845` `*-commutative_binary64_691`

Counts

3 → 117

Calls

3 calls:

28.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
24.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))
20.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))

series203.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))
72.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
57.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4988	1862
1	4988	1862

prune146.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	126	5	131

Error

Counts

131 → 5

Compiler

Compiled 2066 to 977 computations (52.7% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2)))
0.2b	(/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (sqrt.f64 t))) (/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))))
0.3b	(*.f64 (sqrt.f64 2) (sqrt.f64 t))
0.5b	(/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))

rewrite888.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

6629×	`times-frac_binary64_766`
3981×	`*-un-lft-identity_binary64_760`
2978×	`add-sqr-sqrt_binary64_782`
2296×	`add-cube-cbrt_binary64_795`
2104×	`sqrt-prod_binary64_776`
674×	`distribute-lft-out--_binary64_712`
337×	`distribute-lft-out_binary64_711` `difference-of-squares_binary64_729`
312×	`div-inv_binary64_757`
291×	`associate-/r*_binary64_704`
91×	`add-exp-log_binary64_798`
58×	`div-exp_binary64_811`
49×	`add-cbrt-cube_binary64_796`
28×	`cbrt-undiv_binary64_794`
19×	`associate-/l*_binary64_705`
10×	`prod-exp_binary64_809` `associate-/r/_binary64_706`
8×	`pow1_binary64_821`
6×	`associate-r_binary64_700` `associate-l_binary64_701` `rec-exp_binary64_810` `1-exp_binary64_804`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793`
3×	`frac-2neg_binary64_771` `associate-/l/_binary64_707` `clear-num_binary64_759` `pow-prod-down_binary64_831`
2×	`sqrt-pow1_binary64_778` `pow1/2_binary64_840`
1×	`sqrt-unprod_binary64_780` `div-sub_binary64_765` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 2403

Calls

4 calls:

106.0ms	(/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (sqrt.f64 t))) (/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))))
37.0ms	(/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2)))
21.0ms	(/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))
7.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 t))

series470.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

228.0ms	(/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) (sqrt.f64 t))) (/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))))
136.0ms	(/.f64 (sqrt.f64 t) (/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2)))
67.0ms	(/.f64 (-.f64 (+.f64 x y) z) (sqrt.f64 2))
38.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 t))

simplify1.6s (8.9%)

Algorithm

1×	egg-herbie

Counts

2415 → 2415

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5227	126028

prune10.5s (59%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	2415	0	2415
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	2415	5	2420

Error

Counts

2420 → 5

Compiler

Compiled 87104 to 45307 computations (48% saved)

regimes234.0ms (1.3%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 1864 to 1588 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.3s (7.4%)

Algorithm

1×

intervals

Results

394.0ms	8000×	body	128	valid
129.0ms	2770×	body	128	invalid

Compiler

Compiled 246 to 211 computations (14.2% saved)

Details

analyze620.0ms (3.5%)

sample21.0ms (0.1%)

simplify350.0ms (2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite12.0ms (0.1%)

series56.0ms (0.3%)

simplify58.0ms (0.3%)

prune52.0ms (0.3%)

localize18.0ms (0.1%)

rewrite129.0ms (0.7%)

series143.0ms (0.8%)

simplify219.0ms (1.2%)

prune518.0ms (2.9%)

localize17.0ms (0.1%)

rewrite92.0ms (0.5%)

series203.0ms (1.1%)

simplify106.0ms (0.6%)

prune146.0ms (0.8%)

localize26.0ms (0.1%)

rewrite888.0ms (5%)

series470.0ms (2.6%)

simplify1.6s (8.9%)

prune10.5s (59%)

regimes234.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.3s (7.4%)

Profiling