Details

analyze1.3s (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	176
1	4887	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify346.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (341.0ms)

Iter	Nodes	Cost
0	5693	16

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

12.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
12.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite130.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-cube-cbrt_binary64_14776`
6×	`cancel-sign-sub-inv_binary64_14707`
5×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `times-frac_binary64_14747` `associate-/r_binary64_14685` `associate-r*_binary64_14681`
4×	`associate-*r/_binary64_14683` `distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690`
3×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `flip3--_binary64_14745` `flip--_binary64_14716` `associate-l_binary64_14682`
2×	`prod-exp_binary64_14790` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `associate-/r/_binary64_14687` `sub-neg_binary64_14734`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `div-inv_binary64_14738` `associate-/l_binary64_14686` `pow-prod-down_binary64_14812` `unswap-sqr_binary64_14709` `-commutative_binary64_14672` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671`

Counts

3 → 71

Calls

3 calls:

19.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
16.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
14.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series984.0ms (9.7%)

Error

0.1b

Counts

3 → 74

Calls

3 calls:

497.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
306.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
120.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 3262 to 1865 computations (42.8% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5307	2272

prune150.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 2208 to 441 computations (80% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite271.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_14747`
197×	`*-un-lft-identity_binary64_14741`
195×	`add-sqr-sqrt_binary64_14763`
91×	`add-cube-cbrt_binary64_14776`
52×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
36×	`associate-/r*_binary64_14685`
11×	`associate-/r/_binary64_14687`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
8×	`associate-/l*_binary64_14686`
6×	`div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716`
5×	`add-log-exp_binary64_14780`
4×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
3×	`pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/l/_binary64_14688`
1×	`div-sub_binary64_14746` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671`

Counts

3 → 206

Calls

3 calls:

37.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
13.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4812 to 1041 computations (78.4% saved)

series1.1s (11.2%)

Error

Counts

3 → 85

Calls

3 calls:

524.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
329.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
223.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 4199 to 2522 computations (39.9% saved)

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5087	7099

prune269.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	291	4	295

Error

Counts

295 → 4

Compiler

Compiled 5956 to 1011 computations (83% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite143.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64_14763`
71×	`*-un-lft-identity_binary64_14741`
51×	`times-frac_binary64_14747`
31×	`associate-r_binary64_14681`
27×	`add-cube-cbrt_binary64_14776`
22×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
4×	`associate-/r/_binary64_14687`
3×	`associate-l_binary64_14682` `flip3--_binary64_14745` `flip--_binary64_14716`
2×	`div-exp_binary64_14792` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `cbrt-undiv_binary64_14775` `unswap-sqr_binary64_14709` `div-inv_binary64_14738` `associate-/l/_binary64_14688`
1×	`pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `-commutative_binary64_14672` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.1s (10.5%)

Error

Counts

3 → 78

Calls

3 calls:

516.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
312.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
182.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 3650 to 2159 computations (40.8% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4992	3378
1	4992	3378

prune152.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	191	4	195

Error

Counts

195 → 4

Compiler

Compiled 3245 to 637 computations (80.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
6.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

rewrite297.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

97×	`add-sqr-sqrt_binary64_14763`
79×	`*-un-lft-identity_binary64_14741`
65×	`cbrt-prod_binary64_14772`
54×	`associate-r_binary64_14681`
50×	`times-frac_binary64_14747`
35×	`add-cube-cbrt_binary64_14776`
30×	`cbrt-div_binary64_14773`
27×	`add-exp-log_binary64_14779`
23×	`associate-l_binary64_14682`
21×	`distribute-lft-out--_binary64_14693`
19×	`difference-of-squares_binary64_14710`
18×	`add-cbrt-cube_binary64_14777`
15×	`flip3--_binary64_14745` `flip--_binary64_14716`
13×	`pow1_binary64_14802`
10×	`unswap-sqr_binary64_14709` `associate-/r/_binary64_14687` `swap-sqr_binary64_14708`
9×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `frac-times_binary64_14751`
8×	`pow1/3_binary64_14823`
7×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
5×	`associate-l/_binary64_14684` `associate-r/_binary64_14683`
4×	`add-log-exp_binary64_14780`
3×	`pow-prod-down_binary64_14812`
2×	`div-inv_binary64_14738` `*-commutative_binary64_14672` `pow-prod-up_binary64_14811` `pow-sqr_binary64_14714`
1×	`pow2_binary64_14822` `pow-plus_binary64_14804`

Counts

4 → 177

Calls

4 calls:

60.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 5845 to 998 computations (82.9% saved)

series1.0s (9.9%)

Error

Counts

4 → 64

Calls

4 calls:

390.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
279.0ms	(*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))
135.0ms	(cbrt.f64 (-.f64 a t))
115.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 4822 to 3309 computations (31.4% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5075	5189

prune249.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	241	4	245

Error

Counts

245 → 4

Compiler

Compiled 6526 to 1615 computations (75.3% saved)

regimes604.0ms (5.9%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 4628 to 3582 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.6s (15.6%)

Algorithm

1×

intervals

Results

347.0ms	8000×	body	128	valid
37.0ms	760×	body	128	invalid

Compiler

Compiled 671 to 525 computations (21.8% saved)

Details

analyze1.3s (12.7%)

sample31.0ms (0.3%)

simplify346.0ms (3.4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite130.0ms (1.3%)

series984.0ms (9.7%)

simplify95.0ms (0.9%)

prune150.0ms (1.5%)

localize9.0ms (0.1%)

rewrite271.0ms (2.7%)

series1.1s (11.2%)

simplify112.0ms (1.1%)

prune269.0ms (2.6%)

localize15.0ms (0.1%)

rewrite143.0ms (1.4%)

series1.1s (10.5%)

simplify107.0ms (1.1%)

prune152.0ms (1.5%)

localize25.0ms (0.2%)

rewrite297.0ms (2.9%)

series1.0s (9.9%)

simplify92.0ms (0.9%)

prune249.0ms (2.4%)

regimes604.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (15.6%)

Profiling