Details

analyze226.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	14
1	150	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	232×	body	128	valid
2.0ms	8×	body	2048	valid
1.0ms	9×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

3×	`add-log-exp_binary64_5232`
1×	`diff-log_binary64_5285` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3--_binary64_5197` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159`

Counts

1 → 12

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 3/8 y))

Compiler

Compiled 143 to 100 computations (30.1% saved)

series129.0ms (1.4%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

117.0ms

(-.f64 x (*.f64 3/8 y))

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify159.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	5770	201

prune35.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.1b

Counts

25 → 4

Compiler

Compiled 202 to 140 computations (30.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y 3/8))
0.1b	(.f64 y (.f64 y 9/64))
1.6b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
26.0b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 y 3/8)))

rewrite206.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
11×	`add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
9×	`pow1_binary64_5254` `times-frac_binary64_5199`
8×	`add-log-exp_binary64_5232`
3×	`associate-/l_binary64_5138` `associate-/r_binary64_5137` `pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `associate-l_binary64_5134`
2×	`flip3--_binary64_5197` `associate-/l/_binary64_5140` `flip--_binary64_5168` `flip3-+_binary64_5196` `associate-/r/_binary64_5139` `flip-+_binary64_5167`
1×	`div-exp_binary64_5244` `cbrt-undiv_binary64_5227` `frac-2neg_binary64_5204` `div-sub_binary64_5198` `clear-num_binary64_5192` `div-inv_binary64_5190` `diff-log_binary64_5285` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `associate-r_binary64_5133` `*-commutative_binary64_5124` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

4 → 73

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 y 3/8)))
10.0ms	(.f64 y (.f64 y 9/64))
8.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
5.0ms	(+.f64 x (*.f64 y 3/8))

Compiler

Compiled 1871 to 1085 computations (42% saved)

series726.0ms (8.1%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

305.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 y 3/8)))
213.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
120.0ms	(+.f64 x (*.f64 y 3/8))
43.0ms	(.f64 y (.f64 y 9/64))

Compiler

Compiled 1053 to 792 computations (24.8% saved)

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4987	1604
1	4987	1604

prune184.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	110	6	116

Error

0.0b

Counts

116 → 6

Compiler

Compiled 2017 to 1148 computations (43.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 -3/8 y) x)
0.2b	(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
0.2b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))

rewrite362.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64_5199`
55×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
26×	`add-exp-log_binary64_5231`
18×	`associate-/r*_binary64_5137`
16×	`div-exp_binary64_5244`
11×	`associate-/r/_binary64_5139`
10×	`add-cbrt-cube_binary64_5229`
8×	`1-exp_binary64_5237` `rec-exp_binary64_5243`
6×	`pow1_binary64_5254` `div-inv_binary64_5190` `flip3-+_binary64_5196` `flip-+_binary64_5167` `associate-/l*_binary64_5138`
5×	`pow-flip_binary64_5267` `add-log-exp_binary64_5232`
4×	`cbrt-undiv_binary64_5227`
3×	`inv-pow_binary64_5278`
2×	`frac-2neg_binary64_5204` `clear-num_binary64_5192`
1×	`remove-double-div_binary64_5169` `sum-log_binary64_5284` `+-commutative_binary64_5123`

Counts

3 → 137

Calls

3 calls:

20.0ms	(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))
12.0ms	(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
8.0ms	(+.f64 (*.f64 -3/8 y) x)

Compiler

Compiled 2648 to 2143 computations (19.1% saved)

series412.0ms (4.6%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

130.0ms	(/.f64 1 (+.f64 (*.f64 -3/8 y) x))
124.0ms	(/.f64 1 (/.f64 1 (+.f64 (*.f64 -3/8 y) x)))
106.0ms	(+.f64 (*.f64 -3/8 y) x)

Compiler

Compiled 996 to 881 computations (11.5% saved)

simplify176.0ms (2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4973	2605
1	4973	2605

prune273.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	177	2	179
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	179	6	185

Error

0.0b

Counts

185 → 6

Compiler

Compiled 2442 to 1821 computations (25.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (/.f64 1 (-.f64 x (.f64 3/8 y)))) (cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y)))))
0.6b	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))

rewrite839.0ms (9.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

133×	`cbrt-prod_binary64_5224`
97×	`add-sqr-sqrt_binary64_5215`
79×	`times-frac_binary64_5199`
67×	`*-un-lft-identity_binary64_5193`
57×	`add-cube-cbrt_binary64_5228`
20×	`swap-sqr_binary64_5160`
18×	`associate-l_binary64_5134` `associate-r_binary64_5133`
16×	`unswap-sqr_binary64_5161`
14×	`associate-/r/_binary64_5139`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `div-inv_binary64_5190`
7×	`cbrt-div_binary64_5225` `flip3--_binary64_5197` `flip--_binary64_5168`
6×	`add-exp-log_binary64_5231`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `frac-times_binary64_5203` `associate-l/_binary64_5136` `associate-r/_binary64_5135` `*-commutative_binary64_5124`

Counts

4 → 165

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (/.f64 1 (-.f64 x (.f64 3/8 y)))) (cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y)))))
12.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
9.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
9.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))

Compiler

Compiled 7099 to 5734 computations (19.2% saved)

series887.0ms (9.9%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

254.0ms	(.f64 (cbrt.f64 (/.f64 1 (-.f64 x (.f64 3/8 y)))) (cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y)))))
176.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
172.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))
169.0ms	(cbrt.f64 (/.f64 1 (-.f64 x (*.f64 3/8 y))))

Compiler

Compiled 3702 to 3236 computations (12.6% saved)

simplify197.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4906	5156
1	4906	5156

prune866.0ms (9.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	198	7	205

Error

0.0b

Counts

205 → 7

Compiler

Compiled 7485 to 6030 computations (19.4% saved)

regimes595.0ms (6.6%)

Accuracy

Total 0.1b remaining (87.7%)

Threshold costs 0.1b (87.7%)

Compiler

Compiled 3600 to 3042 computations (15.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample2.4s (27.1%)

Algorithm

1×

intervals

Results

324.0ms	7391×	body	128	valid
35.0ms	192×	body	2048	valid
33.0ms	224×	body	1024	valid
15.0ms	130×	body	512	valid
5.0ms	63×	body	256	valid

Compiler

Compiled 906 to 767 computations (15.3% saved)

Details

analyze226.0ms (2.5%)

sample30.0ms (0.3%)

simplify22.0ms (0.2%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite28.0ms (0.3%)

series129.0ms (1.4%)

simplify159.0ms (1.8%)

prune35.0ms (0.4%)

localize19.0ms (0.2%)

rewrite206.0ms (2.3%)

series726.0ms (8.1%)

simplify114.0ms (1.3%)

prune184.0ms (2.1%)

localize13.0ms (0.1%)

rewrite362.0ms (4%)

series412.0ms (4.6%)

simplify176.0ms (2%)

prune273.0ms (3%)

localize24.0ms (0.3%)

rewrite839.0ms (9.3%)

series887.0ms (9.9%)

simplify197.0ms (2.2%)

prune866.0ms (9.7%)

regimes595.0ms (6.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.4s (27.1%)

Profiling