Details

analyze392.0ms (10.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
0.0b	(*.f64 (-.f64 y x) z)

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-sqr-sqrt_binary64_5215`
6×	`*-un-lft-identity_binary64_5193`
5×	`associate-l_binary64_5134`
4×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228`
3×	`associate-r_binary64_5133`
2×	`associate-*l/_binary64_5136`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `flip3--_binary64_5197` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `distribute-lft-out--_binary64_5145` `*-commutative_binary64_5124` `sum-log_binary64_5284` `flip3-+_binary64_5196` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) z)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 470 to 134 computations (71.5% saved)

series226.0ms (6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

113.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
97.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 618 to 362 computations (41.4% saved)

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5343	634

prune42.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Error

Counts

67 → 3

Compiler

Compiled 647 to 147 computations (77.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))

rewrite113.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_5224`
37×	`add-sqr-sqrt_binary64_5215`
35×	`*-un-lft-identity_binary64_5193`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228`
11×	`pow1_binary64_5254`
10×	`swap-sqr_binary64_5160`
9×	`pow1/3_binary64_5275` `flip3--_binary64_5197` `flip--_binary64_5168` `distribute-lft-out--_binary64_5145`
8×	`associate-l_binary64_5134` `associate-r_binary64_5133`
7×	`difference-of-squares_binary64_5162`
6×	`add-exp-log_binary64_5231`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2624 to 520 computations (80.2% saved)

series392.0ms (10.3%)

Error

Counts

4 → 36

Calls

4 calls:

129.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
78.0ms	(cbrt.f64 (-.f64 y x))
77.0ms	(cbrt.f64 (-.f64 y x))
75.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2463 to 1675 computations (32% saved)

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4928	1815
1	4928	1815

prune104.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 3058 to 732 computations (76.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (exp.f64 (log.f64 (*.f64 z (-.f64 y x)))))
0.0b	(*.f64 z (-.f64 y x))
3.0b	(exp.f64 (log.f64 (*.f64 z (-.f64 y x))))
3.2b	(log.f64 (*.f64 z (-.f64 y x)))

rewrite80.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
12×	`pow1_binary64_5254`
9×	`add-exp-log_binary64_5231` `add-cube-cbrt_binary64_5228`
6×	`associate-*r/_binary64_5135` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `cancel-sign-sub-inv_binary64_5159`
5×	`exp-prod_binary64_5245` `associate-r_binary64_5133`
4×	`log-pow_binary64_5282` `log-div_binary64_5280` `distribute-rgt-in_binary64_5143` `distribute-lft-in_binary64_5142`
3×	`pow-prod-down_binary64_5264` `flip3--_binary64_5197` `flip--_binary64_5168` `associate-l_binary64_5134`
2×	`log-prod_binary64_5279` `prod-exp_binary64_5242` `rem-log-exp_binary64_5234` `exp-diff_binary64_5241` `sub-neg_binary64_5186`
1×	`exp-sum_binary64_5239` `rem-exp-log_binary64_5233` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `difference-of-squares_binary64_5162` `distribute-lft-out--_binary64_5145` `*-commutative_binary64_5124` `sum-log_binary64_5284` `flip3-+_binary64_5196` `flip-+_binary64_5167` `distribute-lft-out_binary64_5144` `+-commutative_binary64_5123`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 x (exp.f64 (log.f64 (*.f64 z (-.f64 y x)))))
7.0ms	(*.f64 z (-.f64 y x))
6.0ms	(exp.f64 (log.f64 (*.f64 z (-.f64 y x))))
5.0ms	(log.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 1154 to 345 computations (70.1% saved)

series1.2s (30.8%)

Error

Counts

4 → 60

Calls

4 calls:

458.0ms	(+.f64 x (exp.f64 (log.f64 (*.f64 z (-.f64 y x)))))
434.0ms	(exp.f64 (log.f64 (*.f64 z (-.f64 y x))))
146.0ms	(log.f64 (*.f64 z (-.f64 y x)))
88.0ms	(*.f64 z (-.f64 y x))

Compiler

Compiled 2119 to 1550 computations (26.9% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	1395
1	4961	1395

prune75.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 1502 to 367 computations (75.6% saved)

regimes140.0ms (3.7%)

Accuracy

Total 0.0b remaining (81.9%)

Threshold costs 0.0b (81.9%)

Compiler

Compiled 1012 to 746 computations (26.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample769.0ms (20.3%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
18.0ms	589×	body	128	invalid

Compiler

Compiled 263 to 195 computations (25.9% saved)

Details

analyze392.0ms (10.4%)

sample17.0ms (0.4%)

simplify20.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite39.0ms (1%)

series226.0ms (6%)

simplify39.0ms (1%)

prune42.0ms (1.1%)

localize8.0ms (0.2%)

rewrite113.0ms (3%)

series392.0ms (10.3%)

simplify85.0ms (2.3%)

prune104.0ms (2.7%)

localize8.0ms (0.2%)

rewrite80.0ms (2.1%)

series1.2s (30.8%)

simplify62.0ms (1.6%)

prune75.0ms (2%)

regimes140.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample769.0ms (20.3%)

Profiling