Details

analyze399.0ms (16.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	40
1	423	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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Symmetry

sort(y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	209	10
1	209	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

0.3b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))
0.2b	(.f64 (.f64 y 4) z)

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
4×	`add-log-exp_binary64_5232`
3×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-cube-cbrt_binary64_5228` `cbrt-unprod_binary64_5226` `add-sqr-sqrt_binary64_5215` `-un-lft-identity_binary64_5193` `associate-r*_binary64_5133`
1×	`associate-l_binary64_5134` `*-commutative_binary64_5124` `diff-log_binary64_5285` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`

Counts

2 → 30

Calls

2 calls:

5.0ms	(.f64 (.f64 y 4) z)
3.0ms	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 407 to 262 computations (35.6% saved)

series173.0ms (7.1%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

108.0ms	(-.f64 x (.f64 (.f64 y 4) z))
53.0ms	(.f64 (.f64 y 4) z)

Compiler

Compiled 373 to 311 computations (16.6% saved)

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5625	524

prune34.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Error

0.0b

Counts

55 → 2

Compiler

Compiled 498 to 270 computations (45.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 4 (.f64 z y)))
0.0b	(.f64 4 (.f64 z y))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
4×	`add-log-exp_binary64_5232`
3×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-cube-cbrt_binary64_5228` `cbrt-unprod_binary64_5226` `add-sqr-sqrt_binary64_5215` `-un-lft-identity_binary64_5193` `associate-l*_binary64_5134`
1×	`associate-r_binary64_5133` `*-commutative_binary64_5124` `diff-log_binary64_5285` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`

Counts

2 → 30

Calls

2 calls:

5.0ms	(.f64 4 (.f64 z y))
3.0ms	(-.f64 x (.f64 4 (.f64 z y)))

Compiler

Compiled 407 to 228 computations (44% saved)

series173.0ms (7.1%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

109.0ms	(-.f64 x (.f64 4 (.f64 z y)))
55.0ms	(.f64 4 (.f64 z y))

Compiler

Compiled 373 to 311 computations (16.6% saved)

simplify64.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4941	520
1	4941	520

prune29.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

0.0b

Counts

56 → 2

Compiler

Compiled 492 to 260 computations (47.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3))))
0.0b	(.f64 64 (pow.f64 (.f64 z y) 3))
0.2b	(pow.f64 (*.f64 z y) 3)
31.5b	(cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3)))

rewrite90.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-exp-log_binary64_5231`
13×	`add-sqr-sqrt_binary64_5215`
10×	`*-un-lft-identity_binary64_5193`
9×	`add-cbrt-cube_binary64_5229`
8×	`add-cube-cbrt_binary64_5228` `associate-r_binary64_5133`
7×	`pow1_binary64_5254`
6×	`add-log-exp_binary64_5232` `prod-exp_binary64_5242`
4×	`pow-exp_binary64_5261` `cancel-sign-sub-inv_binary64_5159`
3×	`pow-unpow_binary64_5270` `sqr-pow_binary64_5165` `associate-l_binary64_5134`
2×	`cbrt-prod_binary64_5224` `unpow-prod-down_binary64_5272` `pow-pow_binary64_5265` `pow-to-exp_binary64_5262` `unpow3_binary64_5259` `cube-mult_binary64_5223` `cube-prod_binary64_5221` `rem-cube-cbrt_binary64_5216` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161`
1×	`pow1/3_binary64_5275` `pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `diff-log_binary64_5285` `flip3--_binary64_5197` `sub-neg_binary64_5186` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `distribute-lft-out--_binary64_5145`

Counts

4 → 74

Calls

4 calls:

6.0ms	(.f64 64 (pow.f64 (.f64 z y) 3))
4.0ms	(pow.f64 (*.f64 z y) 3)
4.0ms	(-.f64 x (cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3))))
3.0ms	(cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3)))

Compiler

Compiled 1269 to 812 computations (36% saved)

series454.0ms (18.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

158.0ms	(-.f64 x (cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3))))
121.0ms	(.f64 64 (pow.f64 (.f64 z y) 3))
79.0ms	(pow.f64 (*.f64 z y) 3)
76.0ms	(cbrt.f64 (.f64 64 (pow.f64 (.f64 z y) 3)))

Compiler

Compiled 884 to 800 computations (9.5% saved)

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4911	1253
1	4911	1253

prune81.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Error

0.0b

Counts

112 → 2

Compiler

Compiled 1352 to 853 computations (36.9% saved)

regimes106.0ms (4.4%)

Accuracy

Total 0.0b remaining (11.7%)

Threshold costs 0.0b (11.7%)

Compiler

Compiled 480 to 500 computations (-4.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

Removed

((sort y z))

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample573.0ms (23.5%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	128	valid
6.0ms	289×	body	128	invalid

Compiler

Compiled 77 to 80 computations (-3.9% saved)

Details

analyze399.0ms (16.4%)

sample22.0ms (0.9%)

simplify16.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite37.0ms (1.5%)

series173.0ms (7.1%)

simplify78.0ms (3.2%)

prune34.0ms (1.4%)

localize5.0ms (0.2%)

rewrite30.0ms (1.2%)

series173.0ms (7.1%)

simplify64.0ms (2.6%)

prune29.0ms (1.2%)

localize10.0ms (0.4%)

rewrite90.0ms (3.7%)

series454.0ms (18.7%)

simplify45.0ms (1.9%)

prune81.0ms (3.3%)

regimes106.0ms (4.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

end0.0ms (0%)

sample573.0ms (23.5%)

Profiling