Details

analyze408.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	52
1	376	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
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample19.0ms (0.1%)

Algorithm

1×

intervals

Results

6.0ms	238×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	5×	body	256	valid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune3.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_4891`
3×	`sum-log_binary64_4943` `*-un-lft-identity_binary64_4852`
1×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `flip3-+_binary64_4855` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `associate-+r+_binary64_4784` `+-commutative_binary64_4782`

Counts

1 → 14

Calls

1 calls:

8.0ms

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

Compiler

Compiled 253 to 135 computations (46.6% saved)

series132.0ms (0.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

121.0ms

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

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5241	419

prune23.0ms (0.2%)

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 343 to 156 computations (54.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))
0.1b	(pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3)
46.3b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3))

rewrite105.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-log-exp_binary64_4891` `cbrt-prod_binary64_4883`
9×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
6×	`unpow-prod-down_binary64_4931` `cube-prod_binary64_4880` `sum-log_binary64_4943`
4×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `cube-div_binary64_4881`
3×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `pow-unpow_binary64_4929`
2×	`cbrt-div_binary64_4884` `unpow3_binary64_4918` `cube-mult_binary64_4882` `sqr-pow_binary64_4824`
1×	`pow1/3_binary64_4934` `rem-cbrt-cube_binary64_4876` `pow-pow_binary64_4924` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `rem-cube-cbrt_binary64_4875` `associate-+l+_binary64_4785` `+-commutative_binary64_4782`

Counts

3 → 62

Calls

3 calls:

10.0ms	(pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3)
10.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3))
10.0ms	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 1511 to 799 computations (47.1% saved)

series604.0ms (4.1%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

260.0ms	(pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3)
131.0ms	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))
129.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)) 3))

Compiler

Compiled 3661 to 2952 computations (19.4% saved)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4998	3423
1	4998	3423

prune125.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	133	3	136

Error

0.0b

Counts

136 → 3

Compiler

Compiled 2770 to 1442 computations (47.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.9b	(+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27)))))
7.5b	(.f64 (.f64 x 36) (*.f64 y (+.f64 y z)))
7.9b	(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (*.f64 y (+.f64 y z))))
39.0b	(cbrt.f64 (+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27))))))

rewrite243.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `associate-*r/_binary64_4794`
15×	`add-log-exp_binary64_4891`
9×	`distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801`
8×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
7×	`sum-log_binary64_4943`
5×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852` `associate-+r+_binary64_4784`
4×	`frac-add_binary64_4860`
3×	`cbrt-prod_binary64_4883`
2×	`cbrt-div_binary64_4884` `associate-+l+_binary64_4785` `+-commutative_binary64_4782`
1×	`pow1/3_binary64_4934` `associate-l_binary64_4793` `associate-r_binary64_4792` `*-commutative_binary64_4783`

Counts

4 → 76

Calls

4 calls:

19.0ms	(+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27)))))
15.0ms	(cbrt.f64 (+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27))))))
14.0ms	(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (*.f64 y (+.f64 y z))))
10.0ms	(.f64 (.f64 x 36) (*.f64 y (+.f64 y z)))

Compiler

Compiled 4949 to 2557 computations (48.3% saved)

series2.3s (15.6%)

Error

0.0b

Counts

4 → 76

Calls

4 calls:

1.2s	(cbrt.f64 (+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27))))))
469.0ms	(+.f64 (.f64 27 (.f64 z (.f64 x x))) (+.f64 (+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (.f64 y (+.f64 y z)))) (.f64 (.f64 x x) (+.f64 (.f64 y 54) (.f64 x 27)))))
404.0ms	(+.f64 (.f64 (.f64 y y) (+.f64 (.f64 y 8) (.f64 z 12))) (.f64 (.f64 x 36) (*.f64 y (+.f64 y z))))
138.0ms	(.f64 (.f64 x 36) (*.f64 y (+.f64 y z)))

Compiler

Compiled 9113 to 6868 computations (24.6% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5042	6457

prune279.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	152	3	155

Error

0.0b

Counts

155 → 3

Compiler

Compiled 7045 to 3585 computations (49.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x x) 9)
7.5b	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (*.f64 x x) 9))
46.3b	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3)))
50.0b	(/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3))

rewrite1.2s (8.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

288×	`times-frac_binary64_4858`
157×	`add-sqr-sqrt_binary64_4874`
156×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
150×	`unpow-prod-down_binary64_4931` `cube-prod_binary64_4880` `cbrt-prod_binary64_4883`
50×	`unpow3_binary64_4918` `cube-mult_binary64_4882` `sqr-pow_binary64_4824`
21×	`add-exp-log_binary64_4890`
12×	`associate-/l_binary64_4797` `associate-/r_binary64_4796`
11×	`add-cbrt-cube_binary64_4888`
9×	`pow1_binary64_4913` `div-exp_binary64_4903`
6×	`pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `add-log-exp_binary64_4891` `cube-div_binary64_4881`
4×	`flip3--_binary64_4856` `flip--_binary64_4827` `associate-/r/_binary64_4798`
3×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `associate-r_binary64_4792`
2×	`div-inv_binary64_4849` `associate-/l/_binary64_4799` `associate--l+_binary64_4789`
1×	`cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `pow1/3_binary64_4934` `cbrt-div_binary64_4884` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `unswap-sqr_binary64_4820` `associate-l_binary64_4793` `*-commutative_binary64_4783`

Counts

4 → 384

Calls

4 calls:

42.0ms	(/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3))
35.0ms	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3)))
19.0ms	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (*.f64 x x) 9))
6.0ms	(.f64 (.f64 x x) 9)

Compiler

Compiled 25373 to 10092 computations (60.2% saved)

series5.4s (36.7%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

4.0s	(/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3))
449.0ms	(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (.f64 x x) 9)) 3) (pow.f64 (-.f64 (+.f64 (+.f64 y y) z) (.f64 3 x)) 3)))
347.0ms	(-.f64 (.f64 (+.f64 (+.f64 y y) z) (+.f64 (+.f64 y y) z)) (.f64 (*.f64 x x) 9))
32.0ms	(.f64 (.f64 x x) 9)

Compiler

Compiled 19477 to 15009 computations (22.9% saved)

simplify323.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

465 → 465

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5060	37414

prune1.9s (12.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	465	0	465
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	465	3	468

Error

0.0b

Counts

468 → 3

Compiler

Compiled 27463 to 15123 computations (44.9% saved)

regimes389.0ms (2.6%)

Accuracy

Total 0.0b remaining (43.6%)

Threshold costs 0.0b (43.6%)

Compiler

Compiled 1896 to 1550 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample967.0ms (6.5%)

Algorithm

1×

intervals

Results

192.0ms	7439×	body	128	valid
25.0ms	192×	body	1024	valid
15.0ms	98×	body	2048	valid
11.0ms	160×	body	512	valid
5.0ms	111×	body	256	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 488 to 399 computations (18.2% saved)

Details

analyze408.0ms (2.8%)

sample19.0ms (0.1%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite21.0ms (0.1%)

series132.0ms (0.9%)

simplify64.0ms (0.4%)

prune23.0ms (0.2%)

localize8.0ms (0.1%)

rewrite105.0ms (0.7%)

series604.0ms (4.1%)

simplify92.0ms (0.6%)

prune125.0ms (0.8%)

localize24.0ms (0.2%)

rewrite243.0ms (1.6%)

series2.3s (15.6%)

simplify97.0ms (0.7%)

prune279.0ms (1.9%)

localize16.0ms (0.1%)

rewrite1.2s (8.4%)

series5.4s (36.7%)

simplify323.0ms (2.2%)

prune1.9s (12.5%)

regimes389.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample967.0ms (6.5%)

Profiling