Details

analyze418.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	52
1	60	52
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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_6255`
3×	`sum-log_binary64_6307` `*-un-lft-identity_binary64_6216`
1×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `flip3-+_binary64_6219` `flip-+_binary64_6190` `distribute-lft-out_binary64_6167` `associate-+l+_binary64_6149` `+-commutative_binary64_6146`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 253 to 135 computations (46.6% saved)

series156.0ms (3%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

144.0ms

(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 305 to 235 computations (23% saved)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5140	393

prune23.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Compiler

Compiled 328 to 181 computations (44.8% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
0.1b	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
39.6b	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))

rewrite144.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_6216`
14×	`cbrt-prod_binary64_6247`
9×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
8×	`add-log-exp_binary64_6255` `unpow-prod-down_binary64_6295` `cube-prod_binary64_6244`
5×	`distribute-lft-out_binary64_6167`
4×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `cube-div_binary64_6245`
3×	`flip3-+_binary64_6219` `flip-+_binary64_6190` `pow-unpow_binary64_6293` `sum-log_binary64_6307`
2×	`cbrt-div_binary64_6248` `unpow3_binary64_6282` `cube-mult_binary64_6246` `sqr-pow_binary64_6188`
1×	`pow1/3_binary64_6298` `rem-cbrt-cube_binary64_6240` `pow-pow_binary64_6288` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `rem-cube-cbrt_binary64_6239` `associate-+r+_binary64_6148` `+-commutative_binary64_6146`

Counts

3 → 66

Calls

3 calls:

16.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))
9.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
8.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))

Compiler

Compiled 1574 to 957 computations (39.2% saved)

series787.0ms (15.4%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

380.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3)
144.0ms	(+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))
133.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 3))

Compiler

Compiled 4297 to 3350 computations (22% saved)

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5384	3868

prune156.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Compiler

Compiled 3027 to 1640 computations (45.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2)
0.3b	(.f64 (cbrt.f64 (pow.f64 (+.f64 z (+.f64 (.f64 x y) (/.f64 x 2))) 2)) (cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))))
0.6b	(cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))
28.9b	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2))

rewrite223.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`cbrt-prod_binary64_6247`
30×	`add-sqr-sqrt_binary64_6238`
24×	`*-un-lft-identity_binary64_6216`
14×	`add-cube-cbrt_binary64_6251` `unpow-prod-down_binary64_6295`
12×	`associate-l_binary64_6157`
10×	`unswap-sqr_binary64_6184`
7×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `unpow2_binary64_6281` `associate-r_binary64_6156`
5×	`distribute-lft-out_binary64_6167` `sqr-pow_binary64_6188`
4×	`pow1/3_binary64_6298` `add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `cbrt-div_binary64_6248`
3×	`pow-unpow_binary64_6293`
2×	`flip3-+_binary64_6219` `flip-+_binary64_6190` `pow-prod-down_binary64_6287` `associate-*r/_binary64_6158`
1×	`pow3_binary64_6299` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `rem-3cbrt-lft_binary64_6241` `*-commutative_binary64_6147` `pow-pow_binary64_6288` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284`

Counts

4 → 95

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 z (+.f64 (.f64 x y) (/.f64 x 2))) 2)) (cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))))
15.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2)
13.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2))
11.0ms	(cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))

Compiler

Compiled 3414 to 2035 computations (40.4% saved)

series1.5s (29.8%)

Error

Counts

4 → 80

Calls

4 calls:

604.0ms	(cbrt.f64 (pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2))
343.0ms	(cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))))
295.0ms	(pow.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2))) 2)
149.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 z (+.f64 (.f64 x y) (/.f64 x 2))) 2)) (cbrt.f64 (+.f64 z (+.f64 (*.f64 x y) (/.f64 x 2)))))

Compiler

Compiled 7228 to 5443 computations (24.7% saved)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5087	4635

prune244.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Compiler

Compiled 4955 to 2853 computations (42.4% saved)

regimes174.0ms (3.4%)

Accuracy

Total 0.0b remaining (70.8%)

Threshold costs 0.0b (70.8%)

Compiler

Compiled 1044 to 855 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample890.0ms (17.4%)

Algorithm

1×

intervals

Results

277.0ms	7999×	body	128	valid
9.0ms	305×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 196 to 163 computations (16.8% saved)

Details

analyze418.0ms (8.2%)

sample29.0ms (0.6%)

simplify15.0ms (0.3%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite24.0ms (0.5%)

series156.0ms (3%)

simplify89.0ms (1.7%)

prune23.0ms (0.4%)

localize17.0ms (0.3%)

rewrite144.0ms (2.8%)

series787.0ms (15.4%)

simplify68.0ms (1.3%)

prune156.0ms (3.1%)

localize11.0ms (0.2%)

rewrite223.0ms (4.4%)

series1.5s (29.8%)

simplify102.0ms (2%)

prune244.0ms (4.8%)

regimes174.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample890.0ms (17.4%)

Profiling