Details

analyze1.3s (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4865	176
1	4865	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
2.3%	97.4%	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
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify437.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (430.0ms)

Iter	Nodes	Cost
0	4977	16
1	4977	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

10.3b

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 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
10.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite116.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
9×	`add-cube-cbrt_binary64_14435`
6×	`cancel-sign-sub-inv_binary64_14366`
5×	`pow1_binary64_14461` `add-log-exp_binary64_14439` `times-frac_binary64_14406` `associate-/r_binary64_14344` `associate-r*_binary64_14340`
4×	`associate-*r/_binary64_14342` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
3×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `flip3--_binary64_14404` `flip--_binary64_14375` `associate-l_binary64_14341`
2×	`prod-exp_binary64_14449` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `cbrt-unprod_binary64_14433` `associate-/l/_binary64_14347` `associate-/r/_binary64_14346` `sub-neg_binary64_14393`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/l_binary64_14345` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `distribute-lft-out_binary64_14351` `+-commutative_binary64_14330` `pow-prod-down_binary64_14471` `unswap-sqr_binary64_14368` `-commutative_binary64_14331`

Counts

3 → 71

Calls

3 calls:

15.0ms	(*.f64 y (-.f64 z t))
12.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series1.0s (9.5%)

Error

0.4b

Counts

3 → 76

Calls

3 calls:

555.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
298.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
113.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 3294 to 1879 computations (43% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5039	2495

prune135.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	7	148

Error

0.0b

Counts

148 → 7

Compiler

Compiled 2439 to 506 computations (79.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
3.0b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite268.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_14406`
197×	`*-un-lft-identity_binary64_14400`
195×	`add-sqr-sqrt_binary64_14422`
91×	`add-cube-cbrt_binary64_14435`
52×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352`
36×	`associate-/r*_binary64_14344`
11×	`associate-/r/_binary64_14346`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`associate-/l*_binary64_14345`
6×	`div-inv_binary64_14397` `flip3--_binary64_14404` `flip--_binary64_14375`
5×	`add-log-exp_binary64_14439`
4×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
3×	`pow1_binary64_14461`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l/_binary64_14347`
1×	`div-sub_binary64_14405` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `distribute-lft-out_binary64_14351` `+-commutative_binary64_14330`

Counts

3 → 206

Calls

3 calls:

34.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 4812 to 1041 computations (78.4% saved)

series1.0s (9.3%)

Error

0.0b

Counts

3 → 79

Calls

3 calls:

520.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
271.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
163.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 3598 to 2127 computations (40.9% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5039	6946

prune223.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	287	5	292

Error

Counts

292 → 5

Compiler

Compiled 5841 to 969 computations (83.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
0.0b	(/.f64 1 (-.f64 z a))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
3.2b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

rewrite207.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_14422`
42×	`*-un-lft-identity_binary64_14400`
32×	`add-exp-log_binary64_14438` `times-frac_binary64_14406`
25×	`add-cube-cbrt_binary64_14435`
22×	`associate-r_binary64_14340`
20×	`add-cbrt-cube_binary64_14436`
13×	`prod-exp_binary64_14449`
12×	`pow1_binary64_14461`
8×	`associate-r/_binary64_14342` `associate-l*_binary64_14341` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352`
7×	`cbrt-unprod_binary64_14433`
6×	`div-exp_binary64_14451` `add-log-exp_binary64_14439` `flip3--_binary64_14404` `flip--_binary64_14375`
5×	`associate-/r*_binary64_14344`
4×	`pow-prod-down_binary64_14471` `frac-times_binary64_14410` `associate-*l/_binary64_14343` `associate-/r/_binary64_14346`
3×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `cbrt-undiv_binary64_14434` `unswap-sqr_binary64_14368` `associate-/l*_binary64_14345`
2×	`un-div-inv_binary64_14398` `*-commutative_binary64_14331` `div-inv_binary64_14397`
1×	`inv-pow_binary64_14485` `pow-flip_binary64_14474` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `+-commutative_binary64_14330`

Counts

4 → 130

Calls

4 calls:

27.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
20.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))
7.0ms	(/.f64 1 (-.f64 z a))
4.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))

Compiler

Compiled 2812 to 1212 computations (56.9% saved)

series1.2s (10.8%)

Error

Counts

4 → 104

Calls

4 calls:

527.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
291.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))
199.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
71.0ms	(/.f64 1 (-.f64 z a))

Compiler

Compiled 4857 to 3008 computations (38.1% saved)

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5061	4304

prune190.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	234	5	239

Error

Counts

239 → 5

Compiler

Compiled 4350 to 1227 computations (71.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
13.7b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite145.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`add-sqr-sqrt_binary64_14422`
43×	`*-un-lft-identity_binary64_14400`
31×	`times-frac_binary64_14406`
27×	`add-cube-cbrt_binary64_14435`
21×	`associate-l_binary64_14341`
12×	`cancel-sign-sub-inv_binary64_14366`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `associate-+r+_binary64_14332`
5×	`pow1_binary64_14461` `add-log-exp_binary64_14439` `associate-r_binary64_14340` `associate-/r*_binary64_14344`
4×	`flip3--_binary64_14404` `flip--_binary64_14375` `sub-neg_binary64_14393` `associate-/r/_binary64_14346`
3×	`associate-/l*_binary64_14345`
2×	`div-exp_binary64_14451` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `cbrt-undiv_binary64_14434` `frac-times_binary64_14410` `unswap-sqr_binary64_14368` `associate-*r/_binary64_14342` `div-inv_binary64_14397`
1×	`pow-prod-down_binary64_14471` `associate-l/_binary64_14343` `-commutative_binary64_14331` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `+-commutative_binary64_14330`

Counts

3 → 110

Calls

3 calls:

20.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
5.0ms	(/.f64 y (-.f64 z a))
5.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))

Compiler

Compiled 2224 to 495 computations (77.7% saved)

series957.0ms (8.7%)

Error

Counts

3 → 79

Calls

3 calls:

510.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
265.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
115.0ms	(/.f64 y (-.f64 z a))

Compiler

Compiled 3600 to 2102 computations (41.6% saved)

simplify182.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4973	3713
1	4973	3713

prune137.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	189	5	194

Error

Counts

194 → 5

Compiler

Compiled 3496 to 659 computations (81.1% saved)

regimes882.0ms (8%)

Accuracy

Total 0.8b remaining (99.9%)

Threshold costs 0.8b (99.9%)

Compiler

Compiled 8376 to 6341 computations (24.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	64
1	40	64

end0.0ms (0%)

sample2.2s (20.2%)

Algorithm

1×

intervals

Results

367.0ms	7999×	body	128	valid
29.0ms	692×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 1240 to 930 computations (25% saved)

Details

analyze1.3s (11.5%)

sample24.0ms (0.2%)

simplify437.0ms (4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite116.0ms (1.1%)

series1.0s (9.5%)

simplify85.0ms (0.8%)

prune135.0ms (1.2%)

localize14.0ms (0.1%)

rewrite268.0ms (2.4%)

series1.0s (9.3%)

simplify103.0ms (0.9%)

prune223.0ms (2%)

localize16.0ms (0.1%)

rewrite207.0ms (1.9%)

series1.2s (10.8%)

simplify105.0ms (1%)

prune190.0ms (1.7%)

localize8.0ms (0.1%)

rewrite145.0ms (1.3%)

series957.0ms (8.7%)

simplify182.0ms (1.7%)

prune137.0ms (1.3%)

regimes882.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (20.2%)

Profiling