Details

analyze1.0s (11.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	176
0	5	5
1	5	5

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

Symmetry

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify179.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune2.0ms (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

Error

12.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
12.3b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

10×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
9×	`times-frac_binary64_20885`
4×	`add-exp-log_binary64_20917` `add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915`
3×	`flip3--_binary64_20883` `flip--_binary64_20854` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
2×	`pow1_binary64_20940` `associate-/l/_binary64_20826` `associate-/r/_binary64_20825`
1×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `div-sub_binary64_20884` `clear-num_binary64_20878` `div-inv_binary64_20876` `diff-log_binary64_20971` `sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845`

Counts

2 → 44

Calls

2 calls:

7.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 949 to 167 computations (82.4% saved)

series432.0ms (4.9%)

Error

3.4b

Counts

2 → 45

Calls

2 calls:

316.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
88.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 1708 to 1048 computations (38.6% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	1484
1	4970	1484

prune73.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Error

3.3b

Counts

90 → 9

Compiler

Compiled 1495 to 285 computations (80.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
3.6b	(/.f64 x (-.f64 t (*.f64 z a)))
13.7b	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))

rewrite104.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

20×	`add-sqr-sqrt_binary64_20901`
17×	`*-un-lft-identity_binary64_20879`
16×	`times-frac_binary64_20885`
15×	`add-cube-cbrt_binary64_20914`
10×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915` `associate-/r/_binary64_20825`
9×	`cancel-sign-sub-inv_binary64_20845`
6×	`flip3--_binary64_20883` `flip--_binary64_20854` `associate-/r*_binary64_20823`
5×	`add-log-exp_binary64_20918` `div-inv_binary64_20876`
4×	`associate-/l*_binary64_20824`
3×	`pow1_binary64_20940` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `distribute-rgt-out--_binary64_20833`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `difference-of-squares_binary64_20848`
1×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `diff-log_binary64_20971` `frac-sub_binary64_20888` `sub-div_binary64_20886` `sub-neg_binary64_20872` `distribute-lft-out--_binary64_20831`

Counts

3 → 80

Calls

3 calls:

16.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
6.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2232 to 336 computations (84.9% saved)

series750.0ms (8.5%)

Error

1.5b

Counts

3 → 60

Calls

3 calls:

400.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
168.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
143.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 3043 to 1828 computations (39.9% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5217	2621

prune100.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	143	6	149

Error

0.0b

Counts

149 → 6

Compiler

Compiled 2981 to 390 computations (86.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
3.6b	(/.f64 x (-.f64 t (*.f64 z a)))
3.9b	(/.f64 (-.f64 t (*.f64 z a)) y)
9.3b	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))

rewrite252.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

170×	`times-frac_binary64_20885`
118×	`add-sqr-sqrt_binary64_20901`
103×	`*-un-lft-identity_binary64_20879`
97×	`add-cube-cbrt_binary64_20914`
44×	`cancel-sign-sub-inv_binary64_20845`
19×	`associate-/r*_binary64_20823`
13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
11×	`div-inv_binary64_20876`
9×	`associate-/l*_binary64_20824`
6×	`add-log-exp_binary64_20918` `difference-of-squares_binary64_20848`
5×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
4×	`pow1_binary64_20940` `associate-/r/_binary64_20825`
3×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `flip3--_binary64_20883` `flip--_binary64_20854`
2×	`associate-/l/_binary64_20826` `distribute-lft-out--_binary64_20831`
1×	`div-sub_binary64_20884` `diff-log_binary64_20971` `frac-sub_binary64_20888` `sub-neg_binary64_20872`

Counts

4 → 193

Calls

4 calls:

44.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
10.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))
5.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 5769 to 887 computations (84.6% saved)

series940.0ms (10.6%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

386.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
185.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)
160.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
157.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))

Compiler

Compiled 4229 to 2441 computations (42.3% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5031	6028

prune193.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	277	7	284

Error

0.0b

Counts

284 → 7

Compiler

Compiled 6580 to 705 computations (89.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
3.6b	(/.f64 x (-.f64 t (*.f64 z a)))
3.9b	(/.f64 y (-.f64 t (*.f64 z a)))
9.4b	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))

rewrite121.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_20901`
28×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879` `times-frac_binary64_20885`
15×	`associate-r_binary64_20819`
13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
6×	`pow1_binary64_20940` `add-log-exp_binary64_20918` `associate-/r/_binary64_20825` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
4×	`flip3--_binary64_20883` `flip--_binary64_20854`
3×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `associate-r/_binary64_20821` `associate-l*_binary64_20820` `div-inv_binary64_20876`
2×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `unswap-sqr_binary64_20847` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`pow-prod-down_binary64_20950` `*-commutative_binary64_20810` `diff-log_binary64_20971` `frac-sub_binary64_20888` `sub-div_binary64_20886` `sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845`

Counts

4 → 106

Calls

4 calls:

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

Compiler

Compiled 2882 to 453 computations (84.3% saved)

series974.0ms (11%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

394.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
179.0ms	(/.f64 y (-.f64 t (*.f64 z a)))
177.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
167.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))

Compiler

Compiled 4532 to 2687 computations (40.7% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	3231

prune126.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	191	7	198

Error

0.0b

Counts

198 → 7

Compiler

Compiled 4038 to 506 computations (87.5% saved)

regimes1.2s (13.4%)

Accuracy

Total 3.8b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8474 to 5148 computations (39.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	121	140
1	121	140

Removed

()

end0.0ms (0%)

sample1.9s (21.4%)

Algorithm

1×

intervals

Results

515.0ms	8000×	body	128	valid
27.0ms	691×	body	128	invalid

Compiler

Compiled 1541 to 904 computations (41.3% saved)

Details

analyze1.0s (11.9%)

sample31.0ms (0.4%)

simplify179.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite61.0ms (0.7%)

series432.0ms (4.9%)

simplify73.0ms (0.8%)

prune73.0ms (0.8%)

localize9.0ms (0.1%)

rewrite104.0ms (1.2%)

series750.0ms (8.5%)

simplify72.0ms (0.8%)

prune100.0ms (1.1%)

localize9.0ms (0.1%)

rewrite252.0ms (2.9%)

series940.0ms (10.6%)

simplify103.0ms (1.2%)

prune193.0ms (2.2%)

localize9.0ms (0.1%)

rewrite121.0ms (1.4%)

series974.0ms (11%)

simplify74.0ms (0.8%)

prune126.0ms (1.4%)

regimes1.2s (13.4%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (21.4%)

Profiling