Details

analyze946.0ms (12.8%)

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
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify272.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 13.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 a z))
0.0b	(-.f64 x (*.f64 y z))
13.3b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
9×	`times-frac_binary64_19521`
7×	`add-log-exp_binary64_19554`
5×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
4×	`flip3--_binary64_19519` `flip--_binary64_19490`
3×	`associate-/r_binary64_19459` `pow1_binary64_19576` `associate-/l_binary64_19460`
2×	`cancel-sign-sub-inv_binary64_19481` `diff-log_binary64_19607` `associate-/l/_binary64_19462` `associate-/r/_binary64_19461` `sub-neg_binary64_19508`
1×	`div-inv_binary64_19512` `div-exp_binary64_19566` `clear-num_binary64_19514` `div-sub_binary64_19520` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526`

Counts

3 → 56

Calls

3 calls:

8.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 a z))

series480.0ms (6.5%)

Counts

3 → 63

Calls

3 calls:

324.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
78.0ms	(-.f64 t (*.f64 a z))
78.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 1470 to 1241 computations (15.6% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5104	1819

prune110.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	104	15	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	15	120

Merged error: 2.8b

Counts

120 → 15

Compiler

Compiled 1991 to 493 computations (75.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 y z) (-.f64 t (*.f64 z a))))
3.9b	(/.f64 x (-.f64 t (*.f64 z a)))
13.8b	(/.f64 (.f64 y z) (-.f64 t (.f64 z a)))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_19537`
18×	`*-un-lft-identity_binary64_19515`
16×	`add-cube-cbrt_binary64_19550` `times-frac_binary64_19521`
11×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
10×	`cancel-sign-sub-inv_binary64_19481` `associate-/r/_binary64_19461`
8×	`add-log-exp_binary64_19554`
7×	`flip3--_binary64_19519` `flip--_binary64_19490`
6×	`associate-/r*_binary64_19459`
5×	`div-inv_binary64_19512`
4×	`pow1_binary64_19576` `associate-/l*_binary64_19460`
3×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `distribute-rgt-out--_binary64_19469`
2×	`diff-log_binary64_19607` `clear-num_binary64_19514` `sub-neg_binary64_19508` `difference-of-squares_binary64_19484` `frac-2neg_binary64_19526`
1×	`distribute-lft-out--_binary64_19467` `cbrt-unprod_binary64_19548` `sub-div_binary64_19522` `prod-exp_binary64_19564` `frac-sub_binary64_19524`

Counts

4 → 92

Calls

4 calls:

16.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 y z) (-.f64 t (*.f64 z a))))
6.0ms	(/.f64 (.f64 y z) (-.f64 t (.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))

series824.0ms (11.1%)

Counts

4 → 79

Calls

4 calls:

437.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 y z) (-.f64 t (*.f64 z a))))
162.0ms	(/.f64 (.f64 y z) (-.f64 t (.f64 z a)))
135.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
90.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 2623 to 2036 computations (22.4% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5396	3032

prune136.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	8	6	14
Picked	0	1	1
Done	0	0	0
Total	174	12	186

Merged error: 1.3b

Counts

186 → 12

Compiler

Compiled 3734 to 625 computations (83.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 y (/.f64 z (-.f64 t (*.f64 z a)))))
2.0b	(.f64 y (/.f64 z (-.f64 t (.f64 z a))))
3.9b	(/.f64 x (-.f64 t (*.f64 z a)))
10.2b	(/.f64 z (-.f64 t (*.f64 z a)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_19537`
28×	`add-cube-cbrt_binary64_19550` `times-frac_binary64_19521` `*-un-lft-identity_binary64_19515`
15×	`associate-r_binary64_19455`
13×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
6×	`associate-/r_binary64_19459` `associate-/r/_binary64_19461` `pow1_binary64_19576` `add-log-exp_binary64_19554` `associate-/l_binary64_19460`
4×	`flip3--_binary64_19519` `flip--_binary64_19490`
3×	`associate-r/_binary64_19457` `associate-l*_binary64_19456` `div-inv_binary64_19512` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
2×	`cbrt-unprod_binary64_19548` `clear-num_binary64_19514` `prod-exp_binary64_19564` `unswap-sqr_binary64_19483` `frac-2neg_binary64_19526`
1×	`cancel-sign-sub-inv_binary64_19481` `diff-log_binary64_19607` `sub-div_binary64_19522` `sub-neg_binary64_19508` `*-commutative_binary64_19446` `pow-prod-down_binary64_19586` `frac-sub_binary64_19524`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 y (/.f64 z (-.f64 t (.f64 z a))))
8.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 y (/.f64 z (-.f64 t (*.f64 z a)))))
5.0ms	(/.f64 z (-.f64 t (*.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

series782.0ms (10.6%)

Counts

4 → 74

Calls

4 calls:

403.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 y (/.f64 z (-.f64 t (*.f64 z a)))))
168.0ms	(.f64 y (/.f64 z (-.f64 t (.f64 z a))))
137.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
73.0ms	(/.f64 z (-.f64 t (*.f64 z a)))

Compiler

Compiled 2616 to 2042 computations (21.9% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	2957
1	4972	2957

prune144.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	1	9	10
Picked	0	1	1
Done	1	0	1
Total	179	13	192

Merged error: 1.3b

Counts

192 → 13

Compiler

Compiled 3941 to 729 computations (81.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 t z) a)
0.0b	(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
2.0b	(/.f64 y (-.f64 (/.f64 t z) a))
3.9b	(/.f64 x (-.f64 t (*.f64 z a)))

rewrite63.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64_19537`
61×	`times-frac_binary64_19521` `*-un-lft-identity_binary64_19515`
34×	`add-cube-cbrt_binary64_19550`
27×	`cancel-sign-sub-inv_binary64_19481`
20×	`difference-of-squares_binary64_19484`
12×	`distribute-lft-out--_binary64_19467`
9×	`associate-/r*_binary64_19459`
8×	`add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
6×	`associate-/r/_binary64_19461` `associate-/l*_binary64_19460`
5×	`flip3--_binary64_19519` `flip--_binary64_19490`
4×	`pow1_binary64_19576`
3×	`div-inv_binary64_19512`
2×	`diff-log_binary64_19607` `div-exp_binary64_19566` `clear-num_binary64_19514` `sub-neg_binary64_19508` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526`
1×	`frac-sub_binary64_19524`

Counts

4 → 130

Calls

4 calls:

29.0ms	(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
8.0ms	(/.f64 y (-.f64 (/.f64 t z) a))
8.0ms	(-.f64 (/.f64 t z) a)
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

series799.0ms (10.8%)

Counts

4 → 79

Calls

4 calls:

411.0ms	(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
147.0ms	(/.f64 y (-.f64 (/.f64 t z) a))
145.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
96.0ms	(-.f64 (/.f64 t z) a)

Compiler

Compiled 2497 to 2011 computations (19.5% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5128	3785

prune140.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	4	7	11
Picked	0	1	1
Done	1	0	1
Total	210	12	222

Merged error: 1.3b

Counts

222 → 12

Compiler

Compiled 4215 to 603 computations (85.7% saved)

regimes582.0ms (7.9%)

Compiler: Compiled 6200 to 4426 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	22
1	57	22

end0.0ms (0%)

sample1.7s (22.4%)

Algorithm

1×

intervals

Results

481.0ms	8000×	body	128	valid
32.0ms	727×	body	128	invalid

Compiler

Compiled 1106 to 777 computations (29.7% saved)

Details

analyze946.0ms (12.8%)

sample28.0ms (0.4%)

simplify272.0ms (3.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite18.0ms (0.2%)

series480.0ms (6.5%)

simplify67.0ms (0.9%)

prune110.0ms (1.5%)

localize13.0ms (0.2%)

rewrite38.0ms (0.5%)

series824.0ms (11.1%)

simplify77.0ms (1%)

prune136.0ms (1.8%)

localize9.0ms (0.1%)

rewrite36.0ms (0.5%)

series782.0ms (10.6%)

simplify76.0ms (1%)

prune144.0ms (1.9%)

localize13.0ms (0.2%)

rewrite63.0ms (0.9%)

series799.0ms (10.8%)

simplify80.0ms (1.1%)

prune140.0ms (1.9%)

regimes582.0ms (7.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (22.4%)

Profiling