Details

analyze383.0ms (21.6%)

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify18.0ms (1%)

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 (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series69.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(*.f64 y (-.f64 z x))
28.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify63.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5015	584

prune32.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 670 to 160 computations (76.1% saved)

localize9.0ms (0.5%)

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))

rewrite34.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

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×	`distribute-lft-out--_binary64_30` `flip3--_binary64_82` `pow1/3_binary64_160` `flip--_binary64_53`
8×	`associate-l_binary64_19` `associate-r_binary64_18`
7×	`difference-of-squares_binary64_47`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `frac-times_binary64_88` `unswap-sqr_binary64_46`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-r/_binary64_20`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-plus_binary64_141`

Counts

4 → 101

Calls

4 calls:

15.0ms	(*.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))

series441.0ms (24.8%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (-.f64 z x))
119.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
104.0ms	(cbrt.f64 (-.f64 z x))
97.0ms	(cbrt.f64 (-.f64 z x))

simplify104.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4929	1626
1	4929	1626

prune92.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 2640 to 737 computations (72.1% saved)

regimes40.0ms (2.3%)

Accuracy

Total 0.0b remaining (38.3%)

Threshold costs 0.0b (38.3%)

Compiler

Compiled 172 to 122 computations (29.1% 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%)

sample453.0ms (25.5%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	128	valid
13.0ms	557×	body	128	invalid

Compiler

Compiled 53 to 39 computations (26.4% saved)

Details

analyze383.0ms (21.6%)

sample13.0ms (0.7%)

simplify18.0ms (1%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite16.0ms (0.9%)

series69.0ms (3.9%)

simplify63.0ms (3.6%)

prune32.0ms (1.8%)

localize9.0ms (0.5%)

rewrite34.0ms (1.9%)

series441.0ms (24.8%)

simplify104.0ms (5.8%)

prune92.0ms (5.2%)

regimes40.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample453.0ms (25.5%)

Profiling