Details

analyze4.0s (20.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5256	550
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14
1.8%	97.9%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 36 to 36 computations (0% saved)

sample2.0s (10.6%)

Algorithm

2×

intervals

Results

26.0ms	512×	body	128	valid
16.0ms	259×	body	128	invalid

Compiler

Compiled 7055 to 9792 computations (-38.8% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite123.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_6937`
14×	`*-un-lft-identity_binary64_6898` `cancel-sign-sub-inv_binary64_6864`
9×	`add-sqr-sqrt_binary64_6920` `associate-+l+_binary64_6831`
7×	`add-cube-cbrt_binary64_6933`
6×	`sum-log_binary64_6989` `times-frac_binary64_6904`
4×	`diff-log_binary64_6990`
3×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `flip3-+_binary64_6901` `flip-+_binary64_6872`
2×	`frac-sub_binary64_6907` `sub-neg_binary64_6891` `div-inv_binary64_6895` `distribute-lft-out--_binary64_6850` `associate--l+_binary64_6835` `+-commutative_binary64_6828` `distribute-lft-out_binary64_6849`
1×	`flip3--_binary64_6902` `flip--_binary64_6873` `difference-of-squares_binary64_6867` `associate-+l-_binary64_6833`

Counts

3 → 60

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

Compiler

Compiled 1756 to 831 computations (52.7% saved)

series1.8s (9.7%)

Error

0.0b

Counts

3 → 102

Calls

3 calls:

829.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
657.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
271.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

Compiler

Compiled 3459 to 2860 computations (17.3% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4985	3050
1	4985	3050

prune158.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	2	163

Error

0.0b

Counts

163 → 2

Compiler

Compiled 2864 to 1241 computations (56.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
0.6b	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
0.6b	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
0.6b	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

rewrite352.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6929`
23×	`add-sqr-sqrt_binary64_6920`
18×	`cbrt-div_binary64_6930`
15×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
11×	`pow1_binary64_6959`
9×	`pow1/3_binary64_6980` `flip3-+_binary64_6901` `flip-+_binary64_6872`
6×	`add-exp-log_binary64_6936` `swap-sqr_binary64_6865` `associate-l_binary64_6839` `associate-r_binary64_6838`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `frac-times_binary64_6908` `unswap-sqr_binary64_6866`
2×	`pow-prod-down_binary64_6969` `pow-prod-up_binary64_6968` `pow-sqr_binary64_6871` `associate-l/_binary64_6841` `associate-r/_binary64_6840`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829`

Counts

4 → 87

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
9.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
9.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
9.0ms	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

Compiler

Compiled 6494 to 3123 computations (51.9% saved)

series7.2s (38%)

Error

0.0b

Counts

4 → 144

Calls

4 calls:

2.5s	(.f64 (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16)))) (cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (*.f64 t z) 16)))))
1.4s	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
1.4s	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))
1.4s	(cbrt.f64 (+.f64 (.f64 (.f64 a b) -1/4) (+.f64 (.f64 x y) (/.f64 (.f64 t z) 16))))

Compiler

Compiled 31007 to 21305 computations (31.3% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4978	11353
1	4978	11353

prune800.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	231	2	233

Error

0.0b

Counts

233 → 2

Compiler

Compiled 15022 to 7636 computations (49.2% saved)

regimes645.0ms (3.4%)

Accuracy

Total 0.0b remaining (8.6%)

Threshold costs 0.0b (8.6%)

Compiler

Compiled 5939 to 5646 computations (4.9% saved)

bsearch0.0ms (0%)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

sample1.5s (8%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	128	valid
210.0ms	4028×	body	128	invalid

Compiler

Compiled 422 to 400 computations (5.2% saved)

Details

analyze4.0s (20.9%)

sample2.0s (10.6%)

simplify71.0ms (0.4%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite123.0ms (0.6%)

series1.8s (9.7%)

simplify70.0ms (0.4%)

prune158.0ms (0.8%)

localize17.0ms (0.1%)

rewrite352.0ms (1.9%)

series7.2s (38%)

simplify107.0ms (0.6%)

prune800.0ms (4.2%)

regimes645.0ms (3.4%)

bsearch0.0ms (0%)

simplify52.0ms (0.3%)

end0.0ms (0%)

sample1.5s (8%)

Profiling