Details

analyze189.0ms (5.3%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	198	12
1	198	12

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: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 x (log.f64 y))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`associate--l+_binary64`
18×	`log-prod_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
6×	`pow1_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 73

Calls

3 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series202.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
60.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
56.0ms	(*.f64 x (log.f64 y))

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5075	953

prune100.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

Compiler

Compiled 1782 to 734 computations (58.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series588.0ms (16.3%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt.f64 y)
156.0ms	(cbrt.f64 y)
135.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
130.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4864	760
1	4864	760

prune237.0ms (6.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

Compiler

Compiled 1959 to 993 computations (49.3% saved)

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-+r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series578.0ms (16.1%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
145.0ms	(cbrt.f64 y)
144.0ms	(pow.f64 y 1/3)
111.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5038	688

prune80.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

89 → 6

Compiler

Compiled 1717 to 831 computations (51.6% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
0.3b	(.f64 x (.f64 1/3 (*.f64 (log.f64 y) 5/2)))
0.4b	(.f64 1/3 (.f64 (log.f64 y) 5/2))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
6×	`cbrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-prod_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `log-pow_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 x (.f64 1/3 (*.f64 (log.f64 y) 5/2)))
6.0ms	(.f64 1/3 (.f64 (log.f64 y) 5/2))
5.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
2.0ms	(cbrt.f64 (sqrt.f64 y))

series365.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
103.0ms	(.f64 1/3 (.f64 (log.f64 y) 5/2))
99.0ms	(cbrt.f64 (sqrt.f64 y))
59.0ms	(.f64 x (.f64 1/3 (*.f64 (log.f64 y) 5/2)))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4899	885
1	4899	885

prune106.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

Compiler

Compiled 2179 to 1119 computations (48.6% saved)

regimes61.0ms (1.7%)

Compiler: Compiled 382 to 308 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms (0%)

sample638.0ms (17.7%)

Algorithm

1×

intervals

Results

327.0ms	7996×	body	128	valid
1.0ms	25×	body	128	invalid
1.0ms	26×	body	128	nan
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 107 to 87 computations (18.7% saved)

Details

analyze189.0ms (5.3%)

sample17.0ms (0.5%)

simplify15.0ms (0.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series202.0ms (5.6%)

simplify54.0ms (1.5%)

prune100.0ms (2.8%)

localize13.0ms (0.3%)

rewrite23.0ms (0.6%)

series588.0ms (16.3%)

simplify72.0ms (2%)

prune237.0ms (6.6%)

localize21.0ms (0.6%)

rewrite30.0ms (0.8%)

series578.0ms (16.1%)

simplify72.0ms (2%)

prune80.0ms (2.2%)

localize16.0ms (0.5%)

rewrite27.0ms (0.8%)

series365.0ms (10.1%)

simplify57.0ms (1.6%)

prune106.0ms (2.9%)

regimes61.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample638.0ms (17.7%)

Profiling