Details

analyze442.0ms (10.7%)

Algorithm

1×	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%	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
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Symmetry

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.5%)

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 1 expressions with local error:

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

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`associate-+r+_binary64_16037`
6×	`cancel-sign-sub-inv_binary64_16071`
4×	`distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054`
3×	`add-log-exp_binary64_16144` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
2×	`sub-neg_binary64_16098`
1×	`sum-log_binary64_16196` `pow1_binary64_16166` `add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `flip3-+_binary64_16108` `flip-+_binary64_16079` `+-commutative_binary64_16035`

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 342 to 172 computations (49.7% saved)

series134.0ms (3.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

124.0ms

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

Compiler

Compiled 321 to 194 computations (39.6% saved)

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5004	391

prune21.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

0.0b

Counts

39 → 2

Compiler

Compiled 382 to 94 computations (75.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_16127` `cancel-sign-sub-inv_binary64_16071`
10×	`*-un-lft-identity_binary64_16105`
8×	`add-cube-cbrt_binary64_16140` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `associate-+r+_binary64_16037`
5×	`associate-r_binary64_16045`
4×	`pow1_binary64_16166` `add-exp-log_binary64_16143` `add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `sub-neg_binary64_16098`
3×	`associate-l_binary64_16046`
2×	`associate-*r/_binary64_16047`
1×	`pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `unswap-sqr_binary64_16073` `flip3--_binary64_16109` `flip--_binary64_16080` `difference-of-squares_binary64_16074` `distribute-lft-out--_binary64_16057` `*-commutative_binary64_16036` `sum-log_binary64_16196` `flip3-+_binary64_16108` `flip-+_binary64_16079` `+-commutative_binary64_16035`

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 682 to 192 computations (71.8% saved)

series236.0ms (5.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

129.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
92.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4909	764
1	4909	764

prune43.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Error

Counts

84 → 4

Compiler

Compiled 837 to 176 computations (79% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 (-.f64 x z))

rewrite116.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_16136`
37×	`add-sqr-sqrt_binary64_16127`
35×	`*-un-lft-identity_binary64_16105`
18×	`cbrt-div_binary64_16137`
15×	`add-cube-cbrt_binary64_16140`
11×	`pow1_binary64_16166`
10×	`swap-sqr_binary64_16072`
9×	`pow1/3_binary64_16187` `flip3--_binary64_16109` `flip--_binary64_16080` `distribute-lft-out--_binary64_16057`
8×	`associate-l_binary64_16046` `associate-r_binary64_16045`
7×	`difference-of-squares_binary64_16074`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `add-cbrt-cube_binary64_16141` `frac-times_binary64_16115` `unswap-sqr_binary64_16073`
2×	`pow-prod-down_binary64_16176` `pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `associate-l/_binary64_16048` `associate-r/_binary64_16047`
1×	`pow2_binary64_16186` `pow-plus_binary64_16168` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `*-commutative_binary64_16036`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 2624 to 588 computations (77.6% saved)

series535.0ms (13%)

Error

Counts

4 → 45

Calls

4 calls:

177.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
103.0ms	(cbrt.f64 (-.f64 x z))
101.0ms	(cbrt.f64 (-.f64 x z))
101.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 3368 to 2377 computations (29.4% saved)

simplify115.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4907	2198
1	4907	2198

prune120.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	146	4	150

Error

Counts

150 → 4

Compiler

Compiled 3422 to 1001 computations (70.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
4.0b	(-.f64 (.f64 x x) (.f64 z z))
8.0b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
21.2b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite95.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_16105`
11×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
10×	`add-sqr-sqrt_binary64_16127`
8×	`add-log-exp_binary64_16144` `add-cube-cbrt_binary64_16140`
6×	`pow1_binary64_16166`
4×	`times-frac_binary64_16111` `associate-r/_binary64_16047` `associate-/r_binary64_16049` `associate-r_binary64_16045`
3×	`distribute-lft-out_binary64_16056` `flip3--_binary64_16109` `flip--_binary64_16080` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071` `associate-l_binary64_16046`
2×	`prod-exp_binary64_16154` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `cbrt-unprod_binary64_16138` `associate-/l/_binary64_16052` `flip3-+_binary64_16108` `associate-/r/_binary64_16051` `flip-+_binary64_16079` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `difference-of-squares_binary64_16074`
1×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/l_binary64_16050` `pow-prod-down_binary64_16176` `unswap-sqr_binary64_16073` `-commutative_binary64_16036` `diff-log_binary64_16197` `sum-log_binary64_16196` `+-commutative_binary64_16035`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
7.0ms	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
4.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1910 to 352 computations (81.6% saved)

series890.0ms (21.5%)

Error

Counts

4 → 60

Calls

4 calls:

366.0ms	(+.f64 z (/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z)))
220.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
178.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
90.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1845 to 1211 computations (34.4% saved)

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4988	1669
1	4988	1669

prune83.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 2000 to 339 computations (83.1% saved)

regimes126.0ms (3%)

Accuracy

Total 0.0b remaining (84.8%)

Threshold costs 0.0b (84.8%)

Compiler

Compiled 844 to 670 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

Removed

()

end0.0ms (0%)

sample802.0ms (19.4%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
16.0ms	641×	body	128	invalid

Compiler

Compiled 231 to 185 computations (19.9% saved)

Details

analyze442.0ms (10.7%)

sample18.0ms (0.4%)

simplify20.0ms (0.5%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite21.0ms (0.5%)

series134.0ms (3.2%)

simplify65.0ms (1.6%)

prune21.0ms (0.5%)

localize5.0ms (0.1%)

rewrite47.0ms (1.1%)

series236.0ms (5.7%)

simplify88.0ms (2.1%)

prune43.0ms (1%)

localize9.0ms (0.2%)

rewrite116.0ms (2.8%)

series535.0ms (13%)

simplify115.0ms (2.8%)

prune120.0ms (2.9%)

localize12.0ms (0.3%)

rewrite95.0ms (2.3%)

series890.0ms (21.5%)

simplify75.0ms (1.8%)

prune83.0ms (2%)

regimes126.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample802.0ms (19.4%)

Profiling