Details

analyze783.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1579	112
1	1579	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Symmetry

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	33×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)

rewrite86.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`cancel-sign-sub-inv_binary64_18117`
11×	`*-un-lft-identity_binary64_18151`
10×	`add-log-exp_binary64_18190`
9×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `times-frac_binary64_18157`
8×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187` `associate-+l+_binary64_18084`
3×	`pow1_binary64_18212` `div-inv_binary64_18148` `associate-/r*_binary64_18095`
2×	`diff-log_binary64_18243` `sum-log_binary64_18242` `sub-neg_binary64_18144` `div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
1×	`flip3-+_binary64_18154` `flip-+_binary64_18125` `distribute-lft-out_binary64_18102` `associate-+l-_binary64_18086` `+-commutative_binary64_18081` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/l*_binary64_18096` `flip3--_binary64_18155` `flip--_binary64_18126`

Counts

3 → 61

Calls

3 calls:

9.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
6.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
4.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 1144 to 719 computations (37.2% saved)

series426.0ms (6.4%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

204.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
136.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
55.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 1109 to 962 computations (13.3% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	1345
1	4931	1345

prune83.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

Counts

110 → 4

Compiler

Compiled 1394 to 837 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
0.0b	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
0.2b	(/.f64 y (/.f64 2 z))

rewrite271.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

207×	`times-frac_binary64_18157`
117×	`*-un-lft-identity_binary64_18151`
115×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173`
88×	`cancel-sign-sub-inv_binary64_18117`
45×	`associate-+l+_binary64_18084`
13×	`div-inv_binary64_18148` `associate-/r*_binary64_18095`
10×	`add-log-exp_binary64_18190`
8×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
3×	`pow1_binary64_18212` `div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `associate-/r/_binary64_18097` `associate-/l*_binary64_18096`
2×	`diff-log_binary64_18243` `sum-log_binary64_18242` `sub-neg_binary64_18144`
1×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `flip3-+_binary64_18154` `flip-+_binary64_18125` `distribute-lft-out_binary64_18102` `associate-+l-_binary64_18086` `+-commutative_binary64_18081` `flip3--_binary64_18155` `flip--_binary64_18126`

Counts

3 → 184

Calls

3 calls:

21.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
17.0ms	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
6.0ms	(/.f64 y (/.f64 2 z))

Compiler

Compiled 4029 to 2536 computations (37.1% saved)

series427.0ms (6.4%)

Error

Counts

3 → 48

Calls

3 calls:

202.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
140.0ms	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
57.0ms	(/.f64 y (/.f64 2 z))

Compiler

Compiled 1109 to 962 computations (13.3% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5001	3684

prune197.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	232	4	236

Error

Counts

236 → 4

Compiler

Compiled 3632 to 2179 computations (40% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite100.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_18182`
23×	`add-sqr-sqrt_binary64_18173`
15×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
11×	`pow1_binary64_18212`
9×	`pow1/3_binary64_18233`
6×	`add-exp-log_binary64_18189` `swap-sqr_binary64_18118` `associate-l_binary64_18092` `associate-r_binary64_18091`
4×	`add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187` `unswap-sqr_binary64_18119`
2×	`pow-prod-down_binary64_18222` `pow-prod-up_binary64_18221` `pow-sqr_binary64_18124`
1×	`pow2_binary64_18232` `pow-plus_binary64_18214` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `*-commutative_binary64_18082`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1962 to 1038 computations (47.1% saved)

series346.0ms (5.2%)

Error

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
83.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

Compiler

Compiled 879 to 732 computations (16.7% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune101.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 2097 to 1251 computations (40.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x))
0.0b	(-.f64 t (.f64 1/2 (.f64 z y)))
0.1b	(pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3)
43.9b	(cbrt.f64 (pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3))

rewrite126.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_18182`
11×	`add-log-exp_binary64_18190`
10×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
6×	`unpow-prod-down_binary64_18230` `cube-prod_binary64_18179`
5×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
4×	`cube-div_binary64_18180`
3×	`flip3-+_binary64_18154` `flip-+_binary64_18125` `pow-unpow_binary64_18228`
2×	`cbrt-div_binary64_18183` `unpow3_binary64_18217` `cube-mult_binary64_18181` `sqr-pow_binary64_18123` `diff-log_binary64_18243` `sub-neg_binary64_18144` `cancel-sign-sub-inv_binary64_18117` `sum-log_binary64_18242` `associate-+l+_binary64_18084`
1×	`pow1/3_binary64_18233` `rem-cbrt-cube_binary64_18175` `pow-pow_binary64_18223` `pow-to-exp_binary64_18220` `pow-exp_binary64_18219` `rem-cube-cbrt_binary64_18174` `flip3--_binary64_18155` `flip--_binary64_18126` `associate-+l-_binary64_18086` `+-commutative_binary64_18081`

Counts

4 → 75

Calls

4 calls:

7.0ms	(pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3))
6.0ms	(+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x))
3.0ms	(-.f64 t (.f64 1/2 (.f64 z y)))

Compiler

Compiled 2031 to 1334 computations (34.3% saved)

series1.1s (17%)

Error

Counts

4 → 114

Calls

4 calls:

442.0ms	(pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3)
213.0ms	(cbrt.f64 (pow.f64 (+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x)) 3))
206.0ms	(+.f64 (-.f64 t (.f64 1/2 (.f64 z y))) (*.f64 1/8 x))
113.0ms	(-.f64 t (.f64 1/2 (.f64 z y)))

Compiler

Compiled 6650 to 5163 computations (22.4% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5521	5297

prune204.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	189	4	193

Error

Counts

193 → 4

Compiler

Compiled 4268 to 2423 computations (43.2% saved)

regimes624.0ms (9.4%)

Accuracy

Total 0.0b remaining (94.8%)

Threshold costs 0.0b (94.8%)

Compiler

Compiled 6008 to 5333 computations (11.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	16
1	58	16

Remove

(sort y z)

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample1.3s (20%)

Algorithm

1×

intervals

Results

329.0ms	7998×	body	128	valid
43.0ms	1163×	body	128	invalid
0.0ms	2×	body	2048	valid

Compiler

Compiled 625 to 557 computations (10.9% saved)

Details

analyze783.0ms (11.8%)

sample33.0ms (0.5%)

simplify23.0ms (0.3%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite86.0ms (1.3%)

series426.0ms (6.4%)

simplify72.0ms (1.1%)

prune83.0ms (1.3%)

localize8.0ms (0.1%)

rewrite271.0ms (4.1%)

series427.0ms (6.4%)

simplify83.0ms (1.2%)

prune197.0ms (3%)

localize17.0ms (0.3%)

rewrite100.0ms (1.5%)

series346.0ms (5.2%)

simplify75.0ms (1.1%)

prune101.0ms (1.5%)

localize11.0ms (0.2%)

rewrite126.0ms (1.9%)

series1.1s (17%)

simplify79.0ms (1.2%)

prune204.0ms (3.1%)

regimes624.0ms (9.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.3s (20%)

Profiling