Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
6.0ms	29×	body	512	valid
4.0ms	146×	body	128	valid
1.0ms	15×	body	256	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify160.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

Merged error: 27.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_454`
16×	`*-un-lft-identity_binary64_423`
15×	`add-sqr-sqrt_binary64_445`
7×	`add-cube-cbrt_binary64_458`
6×	`cancel-sign-sub-inv_binary64_389`
5×	`add-log-exp_binary64_462`
4×	`difference-of-squares_binary64_392`
3×	`pow1_binary64_484` `distribute-lft-out--_binary64_375` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
2×	`cbrt-div_binary64_455` `distribute-lft-out_binary64_374` `pow1/3_binary64_505`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `flip3--_binary64_427` `flip3-+_binary64_426` `flip--_binary64_398`

Counts

3 → 49

Calls

3 calls:

11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series303.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

154.0ms	(cbrt.f64 x)
102.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
47.0ms	(cbrt.f64 (+.f64 x 1))

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5137	758

prune166.0ms (5.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	7	59

Merged error: 0.2b

Counts

59 → 7

Compiler

Compiled 2281 to 1744 computations (23.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
18.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_454`
13×	`*-un-lft-identity_binary64_423`
9×	`add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
6×	`cancel-sign-sub-inv_binary64_389` `add-log-exp_binary64_462`
4×	`cbrt-div_binary64_455` `pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`pow1/3_binary64_505`
2×	`flip-+_binary64_397` `distribute-lft-out_binary64_374` `flip3-+_binary64_426`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `flip3--_binary64_427` `flip--_binary64_398`

Counts

4 → 56

Calls

4 calls:

25.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
4.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series328.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt.f64 x)
113.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
40.0ms	(cbrt.f64 (+.f64 x 1))
39.0ms	(cbrt.f64 (+.f64 x 1))

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4858	802
1	4858	802

prune99.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.2b

Counts

75 → 7

Compiler

Compiled 1786 to 1351 computations (24.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/9))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/9)))
0.4b	(*.f64 x -1/9)
0.6b	(cbrt.f64 x)

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_445`
9×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
8×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
6×	`associate-l_binary64_364` `associate-r_binary64_363` `add-log-exp_binary64_462`
3×	`cbrt-prod_binary64_454`
2×	`pow-prod-down_binary64_494` `flip-+_binary64_397` `prod-exp_binary64_472` `associate-r/_binary64_365` `-commutative_binary64_354` `flip3-+_binary64_426` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
1×	`distribute-rgt-in_binary64_373` `distribute-lft-in_binary64_372` `+-commutative_binary64_353` `pow1/3_binary64_505` `sum-log_binary64_514`

Counts

4 → 62

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/9)))
4.0ms	(*.f64 x -1/9)
3.0ms	(+.f64 1/3 (*.f64 x -1/9))
1.0ms	(cbrt.f64 x)

series288.0ms (9%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 x)
85.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/9)))
40.0ms	(+.f64 1/3 (*.f64 x -1/9))
21.0ms	(*.f64 x -1/9)

simplify105.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4859	670
1	4859	670

prune71.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	74	7	81

Merged error: 0.2b

Counts

81 → 7

Compiler

Compiled 1261 to 892 computations (29.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.1b	(pow.f64 x 2/3)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_423`
11×	`cbrt-prod_binary64_454`
9×	`add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
5×	`pow1_binary64_484` `add-exp-log_binary64_461`
4×	`cbrt-div_binary64_455` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`
3×	`pow1/3_binary64_505` `pow-unpow_binary64_500` `unpow-prod-down_binary64_502`
2×	`flip-+_binary64_397` `distribute-lft-out_binary64_374` `flip3-+_binary64_426`
1×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `pow-pow_binary64_495` `sqr-pow_binary64_395`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(pow.f64 x 2/3)
1.0ms	(cbrt.f64 x)

series384.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt.f64 x)
148.0ms	(pow.f64 x 2/3)
43.0ms	(cbrt.f64 (+.f64 x 1))
40.0ms	(cbrt.f64 (+.f64 x 1))

simplify92.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4871	631
1	4871	631

prune145.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	3	3
Picked	1	0	1
Done	2	1	3
Total	68	7	75

Merged error: 0.2b

Counts

75 → 7

Compiler

Compiled 2432 to 1852 computations (23.8% saved)

regimes19.0ms (0.6%)

Compiler: Compiled 136 to 109 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	16	32

end0.0ms (0%)

sample716.0ms (22.5%)

Algorithm

1×

intervals

Results

193.0ms	2016×	body	1024	valid
111.0ms	4232×	body	128	valid
71.0ms	993×	body	512	valid
32.0ms	251×	body	2048	valid
26.0ms	508×	body	256	valid

Compiler

Compiled 162 to 129 computations (20.4% saved)

Details

analyze1.0ms (0%)

sample21.0ms (0.7%)

simplify160.0ms (5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite22.0ms (0.7%)

series303.0ms (9.5%)

simplify75.0ms (2.3%)

prune166.0ms (5.2%)

localize9.0ms (0.3%)

rewrite41.0ms (1.3%)

series328.0ms (10.3%)

simplify78.0ms (2.4%)

prune99.0ms (3.1%)

localize8.0ms (0.3%)

rewrite19.0ms (0.6%)

series288.0ms (9%)

simplify105.0ms (3.3%)

prune71.0ms (2.2%)

localize13.0ms (0.4%)

rewrite15.0ms (0.5%)

series384.0ms (12.1%)

simplify92.0ms (2.9%)

prune145.0ms (4.5%)

regimes19.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample716.0ms (22.5%)

Profiling