Details

analyze387.0ms (12.6%)

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Symmetry

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

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 (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite51.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-+r+_binary64_10`
5×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series237.0ms (7.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

127.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
93.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5323	764

prune47.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

0.0b

Counts

83 → 2

Compiler

Compiled 822 to 166 computations (79.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite123.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_109`
37×	`add-sqr-sqrt_binary64_100`
35×	`*-un-lft-identity_binary64_78`
18×	`cbrt-div_binary64_110`
15×	`add-cube-cbrt_binary64_113`
11×	`pow1_binary64_139`
10×	`swap-sqr_binary64_45`
9×	`pow1/3_binary64_160` `flip3--_binary64_82` `flip--_binary64_53` `distribute-lft-out--_binary64_30`
8×	`associate-l_binary64_19` `associate-r_binary64_18`
7×	`difference-of-squares_binary64_47`
6×	`add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `frac-times_binary64_88` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 2624 to 588 computations (77.6% saved)

series332.0ms (10.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

124.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
66.0ms	(cbrt.f64 (-.f64 z x))
58.0ms	(cbrt.f64 (-.f64 z x))
55.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 2031 to 1405 computations (30.8% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4981	1695
1	4981	1695

prune104.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Error

Counts

133 → 3

Compiler

Compiled 2912 to 742 computations (74.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) (cbrt.f64 (sqrt.f64 (-.f64 z x))))
0.5b	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))

rewrite205.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`cbrt-prod_binary64_109`
76×	`add-sqr-sqrt_binary64_100`
58×	`*-un-lft-identity_binary64_78`
32×	`sqrt-prod_binary64_94`
28×	`cbrt-div_binary64_110`
26×	`add-cube-cbrt_binary64_113`
25×	`swap-sqr_binary64_45`
19×	`associate-l_binary64_19` `associate-r_binary64_18`
18×	`pow1_binary64_139`
14×	`pow1/3_binary64_160` `flip3--_binary64_82` `flip--_binary64_53` `distribute-lft-out--_binary64_30`
13×	`unswap-sqr_binary64_46`
12×	`sqrt-div_binary64_95`
10×	`difference-of-squares_binary64_47`
8×	`add-exp-log_binary64_116` `frac-times_binary64_88`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51` `associate-l/_binary64_21` `associate-r/_binary64_20`
2×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 158

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) (cbrt.f64 (sqrt.f64 (-.f64 z x))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 5434 to 894 computations (83.5% saved)

series287.0ms (9.4%)

Error

Counts

4 → 27

Calls

4 calls:

93.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
62.0ms	(cbrt.f64 (-.f64 z x))
56.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) (cbrt.f64 (sqrt.f64 (-.f64 z x))))
53.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 2265 to 1369 computations (39.6% saved)

simplify133.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4831	2789
1	4831	2789

prune165.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Error

Counts

188 → 3

Compiler

Compiled 5352 to 890 computations (83.4% saved)

regimes102.0ms (3.3%)

Accuracy

Total 0.0b remaining (62.7%)

Threshold costs 0.0b (62.7%)

Compiler

Compiled 744 to 526 computations (29.3% 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

Removed

()

end0.0ms (0%)

sample670.0ms (21.8%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
13.0ms	594×	body	128	invalid

Compiler

Compiled 196 to 140 computations (28.6% saved)

Details

analyze387.0ms (12.6%)

sample16.0ms (0.5%)

simplify18.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite51.0ms (1.7%)

series237.0ms (7.7%)

simplify65.0ms (2.1%)

prune47.0ms (1.5%)

localize9.0ms (0.3%)

rewrite123.0ms (4%)

series332.0ms (10.8%)

simplify98.0ms (3.2%)

prune104.0ms (3.4%)

localize12.0ms (0.4%)

rewrite205.0ms (6.7%)

series287.0ms (9.4%)

simplify133.0ms (4.3%)

prune165.0ms (5.4%)

regimes102.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample670.0ms (21.8%)

Profiling