Details

analyze681.0ms (19%)

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4999	25
1	4999	25

prune5.0ms (0.1%)

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: 7.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
0.0b	(-.f64 (*.f64 t z) x)
11.8b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`distribute-lft-out_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64` `div-sub_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`associate-+r-_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 97

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

series91.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
28.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
22.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
6.0ms	(-.f64 (*.f64 t z) x)

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5089	2842

prune109.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Merged error: 0.3b

Counts

110 → 8

Compiler

Compiled 2955 to 839 computations (71.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
0.0b	(-.f64 (*.f64 z t) x)
0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
11.8b	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

rewrite59.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
67×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
16×	`distribute-lft-out_binary64`
13×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
12×	`div-inv_binary64`
11×	`associate-/l*_binary64`
9×	`div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64`
4×	`associate-/l/_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 172

Calls

4 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
14.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
10.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))
5.0ms	(-.f64 (*.f64 z t) x)

series88.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
22.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
19.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))
9.0ms	(-.f64 (*.f64 z t) x)

simplify111.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5086	5236

prune121.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	184	8	192

Merged error: 0.3b

Counts

192 → 8

Compiler

Compiled 5355 to 1583 computations (70.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.0b	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
4.1b	(/.f64 x (-.f64 (*.f64 z t) x))
12.7b	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`times-frac_binary64`
97×	`*-un-lft-identity_binary64`
65×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/l*_binary64`
16×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
10×	`associate-/r*_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`

Counts

4 → 159

Calls

4 calls:

14.0ms	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
8.0ms	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))
6.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
4.0ms	(-.f64 (*.f64 z t) x)

series54.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
14.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
14.0ms	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))
6.0ms	(-.f64 (*.f64 z t) x)

simplify100.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5092	4069

prune128.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	174	5	179

Merged error: 0.0b

Counts

179 → 5

Compiler

Compiled 6296 to 1891 computations (70% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
2.9b	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
4.1b	(/.f64 x (-.f64 (*.f64 z t) x))
9.9b	(/.f64 (-.f64 (*.f64 z t) x) z)

rewrite43.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

198×	`times-frac_binary64`
145×	`*-un-lft-identity_binary64`
113×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-/l*_binary64`
23×	`associate-/r*_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`distribute-lft-out_binary64`
15×	`associate-/r/_binary64`
13×	`div-inv_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
3×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `flip-+_binary64`

Counts

4 → 225

Calls

4 calls:

12.0ms	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
8.0ms	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
7.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)
6.0ms	(/.f64 x (-.f64 (*.f64 z t) x))

series59.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(/.f64 (/.f64 x (-.f64 (*.f64 z t) x)) (+.f64 x 1))
18.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
13.0ms	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
9.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)

simplify116.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5260	5709

prune170.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	235	2	237
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	237	5	242

Merged error: 0b

Counts

242 → 5

Compiler

Compiled 8640 to 2554 computations (70.4% saved)

regimes179.0ms (5%)

Compiler: Compiled 604 to 388 computations (35.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	37
1	56	37

end0.0ms (0%)

sample1.1s (31.5%)

Algorithm

1×

intervals

Results

370.0ms	8000×	body	80	valid
17.0ms	324×	body	80	invalid

Compiler

Compiled 213 to 140 computations (34.3% saved)

Details

analyze681.0ms (19%)

sample25.0ms (0.7%)

simplify78.0ms (2.2%)

prune5.0ms (0.1%)

localize11.0ms (0.3%)

rewrite45.0ms (1.3%)

series91.0ms (2.5%)

simplify103.0ms (2.9%)

prune109.0ms (3%)

localize12.0ms (0.3%)

rewrite59.0ms (1.6%)

series88.0ms (2.4%)

simplify111.0ms (3.1%)

prune121.0ms (3.4%)

localize13.0ms (0.4%)

rewrite40.0ms (1.1%)

series54.0ms (1.5%)

simplify100.0ms (2.8%)

prune128.0ms (3.6%)

localize14.0ms (0.4%)

rewrite43.0ms (1.2%)

series59.0ms (1.7%)

simplify116.0ms (3.2%)

prune170.0ms (4.7%)

regimes179.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (31.5%)

Profiling