Details

analyze118.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	14
1	150	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample12.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	245×	body	128	valid
0.0ms	4×	body	2048	valid
0.0ms	4×	body	1024	valid
0.0ms	3×	body	512	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6255`
1×	`*-un-lft-identity_binary64_6216` `cancel-sign-sub-inv_binary64_6182` `add-cube-cbrt_binary64_6251` `flip3--_binary64_6220` `diff-log_binary64_6308` `sub-neg_binary64_6209` `flip--_binary64_6191` `add-cbrt-cube_binary64_6252` `add-sqr-sqrt_binary64_6238` `pow1_binary64_6277` `add-exp-log_binary64_6254`

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series20.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(-.f64 x (*.f64 3/8 y))

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5770	165

prune18.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.0b

Counts

16 → 4

Compiler

Compiled 190 to 135 computations (28.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.2b	(.f64 y (.f64 y 9/64))
2.8b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
24.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
11×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
9×	`times-frac_binary64_6222` `pow1_binary64_6277`
8×	`add-log-exp_binary64_6255`
3×	`associate-/r_binary64_6160` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `associate-/l_binary64_6161` `cbrt-unprod_binary64_6249` `associate-l_binary64_6157`
2×	`associate-/r/_binary64_6162` `flip3--_binary64_6220` `flip-+_binary64_6190` `associate-/l/_binary64_6163` `flip--_binary64_6191` `flip3-+_binary64_6219`
1×	`associate-r_binary64_6156` `div-inv_binary64_6213` `clear-num_binary64_6215` `cancel-sign-sub-inv_binary64_6182` `cbrt-undiv_binary64_6250` `diff-log_binary64_6308` `+-commutative_binary64_6146` `frac-2neg_binary64_6227` `sub-neg_binary64_6209` `div-exp_binary64_6267` `div-sub_binary64_6221` `*-commutative_binary64_6147` `sum-log_binary64_6307`

Counts

4 → 73

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
5.0ms	(.f64 y (.f64 y 9/64))
4.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
3.0ms	(+.f64 x (*.f64 3/8 y))

series115.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))
27.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
23.0ms	(+.f64 x (*.f64 3/8 y))
18.0ms	(.f64 y (.f64 y 9/64))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4990	1460
1	4990	1460

prune84.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Error

0.0b

Counts

89 → 6

Compiler

Compiled 1764 to 1073 computations (39.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y 3/8))
0.1b	(/.f64 1 (-.f64 x (*.f64 y 3/8)))
0.2b	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y 3/8))))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_6222`
55×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
26×	`add-exp-log_binary64_6254`
18×	`associate-/r*_binary64_6160`
16×	`div-exp_binary64_6267`
11×	`associate-/r/_binary64_6162`
10×	`add-cbrt-cube_binary64_6252`
8×	`rec-exp_binary64_6266` `1-exp_binary64_6260`
6×	`div-inv_binary64_6213` `flip3--_binary64_6220` `associate-/l*_binary64_6161` `flip--_binary64_6191` `pow1_binary64_6277`
5×	`pow-flip_binary64_6290` `add-log-exp_binary64_6255`
4×	`cbrt-undiv_binary64_6250`
3×	`inv-pow_binary64_6301`
2×	`clear-num_binary64_6215` `frac-2neg_binary64_6227`
1×	`cancel-sign-sub-inv_binary64_6182` `diff-log_binary64_6308` `remove-double-div_binary64_6192` `sub-neg_binary64_6209`

Counts

3 → 138

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y 3/8))))
5.0ms	(/.f64 1 (-.f64 x (*.f64 y 3/8)))
3.0ms	(-.f64 x (*.f64 y 3/8))

series68.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/.f64 1 (-.f64 x (*.f64 y 3/8)))
19.0ms	(/.f64 1 (/.f64 1 (-.f64 x (*.f64 y 3/8))))
19.0ms	(-.f64 x (*.f64 y 3/8))

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4869	2229
1	4869	2229

prune134.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	147	6	153

Error

0.0b

Counts

153 → 6

Compiler

Compiled 2105 to 1604 computations (23.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (cbrt.f64 (-.f64 x (.f64 y 3/8))) (/.f64 (cbrt.f64 1) (cbrt.f64 (-.f64 x (.f64 y 3/8)))))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))

rewrite91.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

504×	`times-frac_binary64_6222`
390×	`cbrt-prod_binary64_6247`
268×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
42×	`associate-/r*_binary64_6160`
22×	`cbrt-div_binary64_6248`
15×	`associate-/r/_binary64_6162`
11×	`flip3--_binary64_6220` `flip--_binary64_6191`
9×	`add-exp-log_binary64_6254`
8×	`div-inv_binary64_6213`
6×	`associate-/l*_binary64_6161`
5×	`add-cbrt-cube_binary64_6252`
4×	`add-log-exp_binary64_6255` `pow1_binary64_6277`
3×	`cbrt-undiv_binary64_6250` `pow1/3_binary64_6298` `div-exp_binary64_6267`
2×	`associate-/l/_binary64_6163`
1×	`clear-num_binary64_6215` `frac-2neg_binary64_6227`

Counts

4 → 356

Calls

4 calls:

19.0ms	(/.f64 (cbrt.f64 (-.f64 x (.f64 y 3/8))) (/.f64 (cbrt.f64 1) (cbrt.f64 (-.f64 x (.f64 y 3/8)))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))

series467.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
119.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))
118.0ms	(/.f64 (cbrt.f64 (-.f64 x (.f64 y 3/8))) (/.f64 (cbrt.f64 1) (cbrt.f64 (-.f64 x (.f64 y 3/8)))))
110.0ms	(cbrt.f64 (-.f64 x (*.f64 y 3/8)))

simplify200.0ms (5%)

Algorithm

1×	egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4994	16500
1	4994	16500

prune1.5s (36.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	368	6	374

Error

0.0b

Counts

374 → 6

Compiler

Compiled 15417 to 12216 computations (20.8% saved)

regimes146.0ms (3.6%)

Accuracy

Total 0.1b remaining (73.1%)

Threshold costs 0.1b (73.1%)

Compiler

Compiled 1392 to 1170 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample716.0ms (17.9%)

Algorithm

1×

intervals

Results

172.0ms	7400×	body	128	valid
18.0ms	161×	body	2048	valid
17.0ms	234×	body	1024	valid
7.0ms	126×	body	512	valid
3.0ms	79×	body	256	valid

Compiler

Compiled 354 to 299 computations (15.5% saved)

Details

analyze118.0ms (3%)

sample12.0ms (0.3%)

simplify11.0ms (0.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series20.0ms (0.5%)

simplify85.0ms (2.1%)

prune18.0ms (0.5%)

localize9.0ms (0.2%)

rewrite25.0ms (0.6%)

series115.0ms (2.9%)

simplify59.0ms (1.5%)

prune84.0ms (2.1%)

localize6.0ms (0.2%)

rewrite30.0ms (0.8%)

series68.0ms (1.7%)

simplify100.0ms (2.5%)

prune134.0ms (3.4%)

localize11.0ms (0.3%)

rewrite91.0ms (2.3%)

series467.0ms (11.7%)

simplify200.0ms (5%)

prune1.5s (36.5%)

regimes146.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample716.0ms (17.9%)

Profiling