Details

analyze643.0ms (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5331	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
2.0ms	52×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5346	16

prune3.0ms (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

13.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 z 1))
12.8b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
12×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000`
7×	`pow1_binary64_10028`
6×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
5×	`*-un-lft-identity_binary64_9967`
4×	`add-sqr-sqrt_binary64_9989` `associate-r_binary64_9907` `associate-*r/_binary64_9909`
3×	`add-cube-cbrt_binary64_10002` `pow-prod-down_binary64_10038`
2×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `add-log-exp_binary64_10006` `associate-/r/_binary64_9913`
1×	`times-frac_binary64_9973` `distribute-lft-out_binary64_9918` `associate-l_binary64_9908` `distribute-lft-in_binary64_9916` `associate-/l_binary64_9912` `distribute-rgt-in_binary64_9917` `unswap-sqr_binary64_9935` `div-inv_binary64_9964` `associate-/r_binary64_9911` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

2 → 51

Calls

2 calls:

11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1))

series91.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
32.0ms	(.f64 (.f64 z z) (+.f64 z 1))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4973	858
1	4973	858

prune62.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Error

1.7b

Counts

58 → 9

Compiler

Compiled 976 to 497 computations (49.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
4.6b	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
6.4b	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

243×	`times-frac_binary64_9973`
132×	`*-un-lft-identity_binary64_9967`
88×	`add-sqr-sqrt_binary64_9989` `add-cube-cbrt_binary64_10002`
45×	`associate-/r*_binary64_9911`
35×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
22×	`distribute-lft-out_binary64_9918`
20×	`associate-/r/_binary64_9913`
18×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
13×	`div-inv_binary64_9964`
7×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `associate-/l*_binary64_9912`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000`
3×	`add-log-exp_binary64_10006` `pow1_binary64_10028` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

3 → 205

Calls

3 calls:

13.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
10.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 y (+.f64 z 1))

series104.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
27.0ms	(/.f64 y (+.f64 z 1))
25.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4930	4575
1	4930	4575

prune212.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	7	1	8
Picked	0	1	1
Done	0	0	0
Total	214	9	223

Error

0.0b

Counts

223 → 9

Compiler

Compiled 4075 to 2064 computations (49.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
0.1b	(/.f64 z (/.f64 y (+.f64 z 1)))
0.8b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))))
3.5b	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))

rewrite214.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

1133×	`times-frac_binary64_9973`
654×	`*-un-lft-identity_binary64_9967`
538×	`add-sqr-sqrt_binary64_9989`
492×	`add-cube-cbrt_binary64_10002`
182×	`associate-r_binary64_9907`
81×	`associate-/r*_binary64_9911`
80×	`add-exp-log_binary64_10005`
79×	`distribute-lft-out_binary64_9918`
62×	`associate-/r/_binary64_9913`
52×	`add-cbrt-cube_binary64_10003`
42×	`div-exp_binary64_10018`
37×	`div-inv_binary64_9964`
26×	`flip3-+_binary64_9970` `cbrt-undiv_binary64_10001` `flip-+_binary64_9941`
16×	`prod-exp_binary64_10016`
13×	`associate-l_binary64_9908`
12×	`unswap-sqr_binary64_9935`
9×	`associate-/l*_binary64_9912`
8×	`cbrt-unprod_binary64_10000`
6×	`pow1_binary64_10028`
4×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `add-log-exp_binary64_10006`
3×	`frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `*-commutative_binary64_9898`

Counts

4 → 622

Calls

4 calls:

81.0ms	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))))
18.0ms	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))
9.0ms	(/.f64 z (/.f64 y (+.f64 z 1)))
6.0ms	(/.f64 y (+.f64 z 1))

series135.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))
43.0ms	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))))
23.0ms	(/.f64 y (+.f64 z 1))
23.0ms	(/.f64 z (/.f64 y (+.f64 z 1)))

simplify171.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

634 → 634

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5876	15648

prune815.0ms (10.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	631	3	634
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	633	10	643

Error

Counts

643 → 10

Compiler

Compiled 15576 to 7922 computations (49.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
0.1b	(/.f64 z (/.f64 y (+.f64 z 1)))
0.7b	(/.f64 (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))) z)
3.5b	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))

rewrite298.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

2985×	`times-frac_binary64_9973`
1555×	`*-un-lft-identity_binary64_9967`
1235×	`add-sqr-sqrt_binary64_9989` `add-cube-cbrt_binary64_10002`
191×	`associate-/l*_binary64_9912`
160×	`distribute-lft-out_binary64_9918`
128×	`associate-/r/_binary64_9913`
84×	`associate-/r*_binary64_9911`
76×	`div-inv_binary64_9964`
53×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
34×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
20×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
4×	`add-log-exp_binary64_10006` `pow1_binary64_10028` `frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`associate-/l/_binary64_9914`

Counts

4 → 1129

Calls

4 calls:

53.0ms	(/.f64 (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))) z)
19.0ms	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))
8.0ms	(/.f64 z (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 y (+.f64 z 1))

series147.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 (/.f64 x (/.f64 z (/.f64 y (+.f64 z 1)))) z)
48.0ms	(/.f64 x (/.f64 z (/.f64 y (+.f64 z 1))))
26.0ms	(/.f64 y (+.f64 z 1))
21.0ms	(/.f64 z (/.f64 y (+.f64 z 1)))

simplify424.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1141 → 1141

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4979	38428
1	4979	38428

prune1.7s (22.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1139	2	1141
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	1144	7	1151

Error

Counts

1151 → 7

Compiler

Compiled 29981 to 13441 computations (55.2% saved)

regimes617.0ms (8%)

Accuracy

Total 1.2b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7360 to 5413 computations (26.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	58
1	22	58

Compiler

Compiled 72 to 48 computations (33.3% saved)

end0.0ms (0%)

sample1.6s (20.8%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
50.0ms	1512×	body	128	invalid

Compiler

Compiled 1258 to 920 computations (26.9% saved)

Details

analyze643.0ms (8.3%)

sample24.0ms (0.3%)

simplify97.0ms (1.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite24.0ms (0.3%)

series91.0ms (1.2%)

simplify73.0ms (0.9%)

prune62.0ms (0.8%)

localize7.0ms (0.1%)

rewrite52.0ms (0.7%)

series104.0ms (1.3%)

simplify144.0ms (1.9%)

prune212.0ms (2.7%)

localize8.0ms (0.1%)

rewrite214.0ms (2.8%)

series135.0ms (1.7%)

simplify171.0ms (2.2%)

prune815.0ms (10.6%)

localize8.0ms (0.1%)

rewrite298.0ms (3.9%)

series147.0ms (1.9%)

simplify424.0ms (5.5%)

prune1.7s (22.4%)

regimes617.0ms (8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (20.8%)

Profiling