Details

analyze423.0ms (8.6%)

Algorithm

1×

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
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify140.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	772	13
1	772	13

prune2.0ms (0%)

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

8.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
8.1b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_20560`
12×	`flip3--_binary64_20542` `flip--_binary64_20513` `*-un-lft-identity_binary64_20538`
9×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
8×	`associate-/r/_binary64_20484` `add-cube-cbrt_binary64_20573` `frac-times_binary64_20548`
6×	`cancel-sign-sub-inv_binary64_20504`
5×	`associate-r_binary64_20478` `associate-l_binary64_20479`
4×	`distribute-rgt-in_binary64_20488` `associate-l/_binary64_20481` `associate-r/_binary64_20480` `distribute-lft-in_binary64_20487` `pow1_binary64_20599`
3×	`associate-/l*_binary64_20483` `times-frac_binary64_20544`
2×	`distribute-lft-out--_binary64_20490` `cbrt-unprod_binary64_20571` `sub-neg_binary64_20531` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `div-exp_binary64_20589` `difference-of-squares_binary64_20507` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `pow-prod-down_binary64_20609` `frac-2neg_binary64_20549` `-commutative_binary64_20469` `associate-/r_binary64_20482` `unswap-sqr_binary64_20506` `div-inv_binary64_20535`

Counts

2 → 67

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t z))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

series160.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

131.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
28.0ms	(*.f64 (-.f64 y z) (-.f64 t z))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5034	1163

prune61.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Error

0.0b

Counts

74 → 7

Compiler

Compiled 1230 to 338 computations (72.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
0.9b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64_20544`
176×	`*-un-lft-identity_binary64_20538` `add-sqr-sqrt_binary64_20560`
88×	`add-cube-cbrt_binary64_20573`
44×	`distribute-lft-out--_binary64_20490` `difference-of-squares_binary64_20507`
24×	`associate-/l*_binary64_20483`
16×	`associate-/r/_binary64_20484`
10×	`associate-/r*_binary64_20482`
9×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
8×	`flip3--_binary64_20542` `flip--_binary64_20513` `div-inv_binary64_20535`
4×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
2×	`clear-num_binary64_20537` `pow1_binary64_20599` `frac-2neg_binary64_20549` `add-log-exp_binary64_20577`
1×	`associate-/l/_binary64_20485`

Counts

2 → 185

Calls

2 calls:

12.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms	(/.f64 x (-.f64 y z))

series170.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

137.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
33.0ms	(/.f64 x (-.f64 y z))

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5400	4775

prune138.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	187	4	191
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	191	7	198

Error

0.0b

Counts

198 → 7

Compiler

Compiled 3807 to 622 computations (83.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 t z) (/.f64 x (-.f64 y z))))
0.9b	(/.f64 (-.f64 t z) (/.f64 x (-.f64 y z)))

rewrite151.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64_20544`
844×	`*-un-lft-identity_binary64_20538` `add-sqr-sqrt_binary64_20560`
468×	`add-cube-cbrt_binary64_20573`
188×	`distribute-lft-out--_binary64_20490` `difference-of-squares_binary64_20507`
136×	`associate-/r*_binary64_20482`
60×	`associate-/r/_binary64_20484`
33×	`div-inv_binary64_20535`
31×	`add-exp-log_binary64_20576`
28×	`flip3--_binary64_20542` `flip--_binary64_20513`
19×	`add-cbrt-cube_binary64_20574` `div-exp_binary64_20589`
11×	`associate-/l*_binary64_20483`
10×	`cbrt-undiv_binary64_20572`
4×	`pow1_binary64_20599`
3×	`clear-num_binary64_20537` `rec-exp_binary64_20588` `frac-2neg_binary64_20549` `add-log-exp_binary64_20577` `1-exp_binary64_20582`
2×	`associate-/l/_binary64_20485`
1×	`inv-pow_binary64_20623` `div-sub_binary64_20543` `pow-flip_binary64_20612`

Counts

3 → 654

Calls

3 calls:

28.0ms	(/.f64 1 (/.f64 (-.f64 t z) (/.f64 x (-.f64 y z))))
12.0ms	(/.f64 (-.f64 t z) (/.f64 x (-.f64 y z)))
5.0ms	(/.f64 x (-.f64 y z))

series321.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

230.0ms	(/.f64 1 (/.f64 (-.f64 t z) (/.f64 x (-.f64 y z))))
62.0ms	(/.f64 (-.f64 t z) (/.f64 x (-.f64 y z)))
29.0ms	(/.f64 x (-.f64 y z))

simplify199.0ms (4%)

Algorithm

1×	egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5140	20157

prune549.0ms (11.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	662	1	663
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	662	8	670

Error

Counts

670 → 8

Compiler

Compiled 15757 to 3107 computations (80.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 x (-.f64 y z))) (cbrt.f64 (/.f64 x (-.f64 y z))))
9.0b	(cbrt.f64 (/.f64 x (-.f64 y z)))
9.0b	(cbrt.f64 (/.f64 x (-.f64 y z)))
9.0b	(cbrt.f64 (/.f64 x (-.f64 y z)))

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`cbrt-prod_binary64_20569`
141×	`add-sqr-sqrt_binary64_20560`
135×	`*-un-lft-identity_binary64_20538`
123×	`times-frac_binary64_20544`
75×	`add-cube-cbrt_binary64_20573`
30×	`swap-sqr_binary64_20505`
27×	`distribute-lft-out--_binary64_20490`
24×	`associate-r_binary64_20478` `associate-l_binary64_20479`
21×	`difference-of-squares_binary64_20507`
14×	`associate-/r/_binary64_20484`
11×	`pow1_binary64_20599`
9×	`pow1/3_binary64_20620` `unswap-sqr_binary64_20506`
7×	`flip3--_binary64_20542` `flip--_binary64_20513` `cbrt-div_binary64_20570` `div-inv_binary64_20535`
6×	`add-exp-log_binary64_20576`
4×	`add-cbrt-cube_binary64_20574` `add-log-exp_binary64_20577`
2×	`pow-sqr_binary64_20511` `pow-prod-down_binary64_20609` `pow-prod-up_binary64_20608`
1×	`associate-l/_binary64_20481` `cbrt-unprod_binary64_20571` `associate-r/_binary64_20480` `*-commutative_binary64_20469` `pow2_binary64_20619` `prod-exp_binary64_20587` `pow-plus_binary64_20601` `frac-times_binary64_20548`

Counts

4 → 198

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 x (-.f64 y z))) (cbrt.f64 (/.f64 x (-.f64 y z))))
5.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))
5.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))
5.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))

series742.0ms (15%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(*.f64 (cbrt.f64 (/.f64 x (-.f64 y z))) (cbrt.f64 (/.f64 x (-.f64 y z))))
181.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))
173.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))
165.0ms	(cbrt.f64 (/.f64 x (-.f64 y z)))

simplify119.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5012	4658

prune186.0ms (3.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	210	8	218

Error

Counts

218 → 8

Compiler

Compiled 6665 to 1025 computations (84.6% saved)

regimes302.0ms (6.1%)

Accuracy

Total 2.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3306 to 2168 computations (34.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample914.0ms (18.5%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	128	valid
15.0ms	402×	body	128	invalid

Compiler

Compiled 565 to 368 computations (34.9% saved)

Details

analyze423.0ms (8.6%)

sample19.0ms (0.4%)

simplify140.0ms (2.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite25.0ms (0.5%)

series160.0ms (3.2%)

simplify58.0ms (1.2%)

prune61.0ms (1.2%)

localize6.0ms (0.1%)

rewrite36.0ms (0.7%)

series170.0ms (3.4%)

simplify109.0ms (2.2%)

prune138.0ms (2.8%)

localize8.0ms (0.2%)

rewrite151.0ms (3.1%)

series321.0ms (6.5%)

simplify199.0ms (4%)

prune549.0ms (11.1%)

localize11.0ms (0.2%)

rewrite72.0ms (1.5%)

series742.0ms (15%)

simplify119.0ms (2.4%)

prune186.0ms (3.8%)

regimes302.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample914.0ms (18.5%)

Profiling