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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	58×	body	1024	valid
4.0ms	147×	body	128	valid
2.0ms	26×	body	512	valid
1.0ms	22×	body	256	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify174.0ms (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: 27.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
4.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_791`
16×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795`
6×	`cancel-sign-sub-inv_binary64_726`
5×	`add-log-exp_binary64_799`
4×	`difference-of-squares_binary64_729`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `pow1_binary64_821`
2×	`pow1/3_binary64_842` `distribute-lft-out_binary64_711` `cbrt-div_binary64_792`
1×	`diff-log_binary64_852` `flip3-+_binary64_763` `flip-+_binary64_734` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 49

Calls

3 calls:

13.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series303.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

152.0ms	(cbrt.f64 x)
106.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5137	758

prune62.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.2b

Counts

59 → 5

Compiler

Compiled 804 to 535 computations (33.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
4.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_791`
26×	`add-sqr-sqrt_binary64_782`
24×	`*-un-lft-identity_binary64_760`
12×	`cancel-sign-sub-inv_binary64_726`
10×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
6×	`distribute-lft-out--_binary64_712`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
2×	`pow1/3_binary64_842` `diff-log_binary64_852` `distribute-lft-out_binary64_711` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 70

Calls

4 calls:

12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series529.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)
103.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
99.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4972	1068
1	4972	1068

prune100.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.2b

Counts

87 → 5

Compiler

Compiled 1878 to 1248 computations (33.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x -1))
0.6b	(cbrt.f64 x)
11.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.6b	(-.f64 (/.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))

rewrite50.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_782`
27×	`cbrt-prod_binary64_791`
13×	`*-un-lft-identity_binary64_760`
10×	`difference-of-squares_binary64_729`
9×	`add-cube-cbrt_binary64_795`
8×	`times-frac_binary64_766`
6×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cbrt-div_binary64_792` `pow1_binary64_821`
3×	`pow1/3_binary64_842`
2×	`flip3-+_binary64_763` `flip-+_binary64_734`
1×	`diff-log_binary64_852` `distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753` `difference-of-sqr--1_binary64_731` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 67

Calls

4 calls:

36.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
4.0ms	(cbrt.f64 (+.f64 x -1))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
1.0ms	(cbrt.f64 x)

series465.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt.f64 x)
152.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
84.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(cbrt.f64 (+.f64 x -1))

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	1737
1	4984	1737

prune97.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Merged error: 0.2b

Counts

84 → 5

Compiler

Compiled 1838 to 1167 computations (36.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/9))
0.3b	(.f64 x (+.f64 1/3 (.f64 x -1/9)))
0.4b	(*.f64 x -1/9)
0.6b	(cbrt.f64 x)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_782`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
8×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
6×	`add-log-exp_binary64_799` `associate-r_binary64_700` `associate-l_binary64_701`
3×	`cbrt-prod_binary64_791`
2×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`pow1/3_binary64_842` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851`

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)

series311.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt.f64 x)
75.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/9)))
47.0ms	(+.f64 1/3 (*.f64 x -1/9))
23.0ms	(*.f64 x -1/9)

simplify105.0ms (3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4859	670
1	4859	670

prune67.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0.2b

Counts

79 → 5

Compiler

Compiled 1182 to 828 computations (29.9% saved)

regimes79.0ms (2.3%)

Compiler: Compiled 471 to 388 computations (17.6% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	69
1	57	69

end0.0ms (0%)

sample820.0ms (23.4%)

Algorithm

1×

intervals

Results

195.0ms	2039×	body	1024	valid
113.0ms	4284×	body	128	valid
70.0ms	986×	body	512	valid
25.0ms	206×	body	2048	valid
22.0ms	485×	body	256	valid

Compiler

Compiled 251 to 200 computations (20.3% saved)

Details

analyze1.0ms (0%)

sample17.0ms (0.5%)

simplify174.0ms (5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite21.0ms (0.6%)

series303.0ms (8.6%)

simplify74.0ms (2.1%)

prune62.0ms (1.8%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series529.0ms (15.1%)

simplify74.0ms (2.1%)

prune100.0ms (2.9%)

localize11.0ms (0.3%)

rewrite50.0ms (1.4%)

series465.0ms (13.3%)

simplify61.0ms (1.7%)

prune97.0ms (2.8%)

localize9.0ms (0.2%)

rewrite19.0ms (0.5%)

series311.0ms (8.9%)

simplify105.0ms (3%)

prune67.0ms (1.9%)

regimes79.0ms (2.3%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample820.0ms (23.4%)

Profiling