Details

analyze753.0ms (15.3%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14
65.2%	20.4%	14.4%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample399.0ms (8.1%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
5.0ms	135×	body	128	invalid

Compiler

Compiled 3159 to 3788 computations (-19.9% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
0.0b	(*.f64 (-.f64 1 x) z)

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_6238`
7×	`*-un-lft-identity_binary64_6216`
6×	`associate-l_binary64_6157`
4×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251`
3×	`associate-r_binary64_6156`
2×	`associate-*l/_binary64_6159` `difference-of-squares_binary64_6185`
1×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `flip3--_binary64_6220` `flip--_binary64_6191` `distribute-lft-out--_binary64_6168` `*-commutative_binary64_6147` `sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

2 → 34

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 571 to 316 computations (44.7% saved)

series489.0ms (9.9%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

384.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
88.0ms	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5458	610

prune45.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.0b

Counts

63 → 3

Compiler

Compiled 689 to 214 computations (68.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_6238` `cancel-sign-sub-inv_binary64_6182`
10×	`*-un-lft-identity_binary64_6216`
8×	`add-cube-cbrt_binary64_6251` `distribute-rgt-in_binary64_6166` `associate-+r+_binary64_6148` `distribute-lft-in_binary64_6165`
5×	`associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `sub-neg_binary64_6209`
3×	`associate-l_binary64_6157`
2×	`associate-*r/_binary64_6158`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146` `pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `flip3--_binary64_6220` `flip--_binary64_6191` `difference-of-squares_binary64_6185` `distribute-lft-out--_binary64_6168` `*-commutative_binary64_6147`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series352.0ms (7.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

200.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
135.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5339	764

prune51.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 837 to 180 computations (78.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.6b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))

rewrite128.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_6247`
37×	`add-sqr-sqrt_binary64_6238`
35×	`*-un-lft-identity_binary64_6216`
18×	`cbrt-div_binary64_6248`
15×	`add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
10×	`swap-sqr_binary64_6183`
9×	`pow1/3_binary64_6298` `flip3--_binary64_6220` `flip--_binary64_6191` `distribute-lft-out--_binary64_6168`
8×	`associate-l_binary64_6157` `associate-r_binary64_6156`
7×	`difference-of-squares_binary64_6185`
6×	`add-exp-log_binary64_6254`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `frac-times_binary64_6226` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189` `associate-l/_binary64_6159` `associate-r/_binary64_6158`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 101

Calls

4 calls:

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

Compiler

Compiled 2624 to 588 computations (77.6% saved)

series540.0ms (11%)

Error

Counts

4 → 36

Calls

4 calls:

184.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
107.0ms	(cbrt.f64 (-.f64 y z))
104.0ms	(cbrt.f64 (-.f64 y z))
102.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 2463 to 1695 computations (31.2% saved)

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4985	1815
1	4985	1815

prune137.0ms (2.8%)

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 3064 to 814 computations (73.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(+.f64 (.f64 x y) (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 z (sqrt.f64 (-.f64 1 x)))))
0.0b	(*.f64 z (sqrt.f64 (-.f64 1 x)))
0.1b	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 z (sqrt.f64 (-.f64 1 x))))

rewrite161.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_6238`
19×	`*-un-lft-identity_binary64_6216` `sqrt-prod_binary64_6232`
16×	`sqrt-div_binary64_6233`
12×	`pow1_binary64_6277` `associate-l_binary64_6157`
11×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
10×	`add-cube-cbrt_binary64_6251` `associate-r/_binary64_6158` `associate-r*_binary64_6156`
8×	`flip3--_binary64_6220` `flip--_binary64_6191`
6×	`add-log-exp_binary64_6255` `difference-of-squares_binary64_6185`
4×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `frac-times_binary64_6226`
3×	`distribute-lft-out--_binary64_6168`
2×	`associate-l/_binary64_6159` `-commutative_binary64_6147` `unswap-sqr_binary64_6184`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146` `pow1/2_binary64_6296` `sqrt-pow1_binary64_6234` `rem-sqrt-square_binary64_6229`

Counts

4 → 88

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 z (sqrt.f64 (-.f64 1 x))))
8.0ms	(*.f64 z (sqrt.f64 (-.f64 1 x)))
4.0ms	(+.f64 (.f64 x y) (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 z (sqrt.f64 (-.f64 1 x)))))
4.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 2159 to 1424 computations (34% saved)

series411.0ms (8.4%)

Error

Counts

4 → 38

Calls

4 calls:

179.0ms	(+.f64 (.f64 x y) (.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 z (sqrt.f64 (-.f64 1 x)))))
96.0ms	(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 z (sqrt.f64 (-.f64 1 x))))
91.0ms	(*.f64 z (sqrt.f64 (-.f64 1 x)))
23.0ms	(sqrt.f64 (-.f64 1 x))

Compiler

Compiled 1010 to 683 computations (32.4% saved)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5549	1412

prune111.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 2008 to 1034 computations (48.5% saved)

regimes109.0ms (2.2%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Compiler

Compiled 644 to 558 computations (13.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample819.0ms (16.6%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
70.0ms	2154×	body	128	invalid

Compiler

Compiled 172 to 149 computations (13.4% saved)

Details

analyze753.0ms (15.3%)

sample399.0ms (8.1%)

simplify20.0ms (0.4%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite50.0ms (1%)

series489.0ms (9.9%)

simplify65.0ms (1.3%)

prune45.0ms (0.9%)

localize5.0ms (0.1%)

rewrite50.0ms (1%)

series352.0ms (7.2%)

simplify63.0ms (1.3%)

prune51.0ms (1%)

localize9.0ms (0.2%)

rewrite128.0ms (2.6%)

series540.0ms (11%)

simplify82.0ms (1.7%)

prune137.0ms (2.8%)

localize9.0ms (0.2%)

rewrite161.0ms (3.3%)

series411.0ms (8.4%)

simplify51.0ms (1%)

prune111.0ms (2.2%)

regimes109.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample819.0ms (16.6%)

Profiling