Details

analyze53.0ms (2.3%)

Algorithm

1×

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune4.0ms (0.2%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 x y) x)

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`distribute-lft-out_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

7.0ms

(+.f64 (+.f64 x y) x)

series5.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(+.f64 (+.f64 x y) x)

simplify107.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5130	169

prune19.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

Compiler

Compiled 202 to 61 computations (69.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite43.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
51×	`cbrt-prod_binary64`
33×	`distribute-lft-out_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series169.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
41.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
38.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
38.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4952	2177
1	4952	2177

prune71.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

Compiler

Compiled 3052 to 645 computations (78.9% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)

rewrite36.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`cbrt-prod_binary64`
36×	`*-un-lft-identity_binary64`
22×	`unpow-prod-down_binary64`
16×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
8×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))

series247.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6)
58.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y)))) 6))
45.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
42.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))

simplify109.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4813	1846
1	4813	1846

prune82.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0b

Counts

101 → 6

Compiler

Compiled 3773 to 961 computations (74.5% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))

rewrite33.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`cbrt-prod_binary64`
31×	`*-un-lft-identity_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
8.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series169.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) 2))
43.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 x y))))
34.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
34.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify126.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4910	1456
1	4910	1456

prune65.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Merged error: 0b

Counts

87 → 6

Compiler

Compiled 3023 to 812 computations (73.1% saved)

regimes103.0ms (4.5%)

Compiler: Compiled 443 to 208 computations (53% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample704.0ms (30.6%)

Algorithm

1×

intervals

Results

141.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Compiler

Compiled 159 to 80 computations (49.7% saved)

Details

analyze53.0ms (2.3%)

sample10.0ms (0.4%)

simplify14.0ms (0.6%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series5.0ms (0.2%)

simplify107.0ms (4.7%)

prune19.0ms (0.8%)

localize8.0ms (0.4%)

rewrite43.0ms (1.9%)

series169.0ms (7.4%)

simplify75.0ms (3.3%)

prune71.0ms (3.1%)

localize18.0ms (0.8%)

rewrite36.0ms (1.6%)

series247.0ms (10.7%)

simplify109.0ms (4.7%)

prune82.0ms (3.6%)

localize15.0ms (0.6%)

rewrite33.0ms (1.4%)

series169.0ms (7.3%)

simplify126.0ms (5.5%)

prune65.0ms (2.8%)

regimes103.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample704.0ms (30.6%)

Profiling