Details

analyze2.5s (24.2%)

Algorithm

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample72.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	117×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

prune3.0ms (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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 z t) 16)
0.0b	(/.f64 (*.f64 a b) 4)
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))

rewrite127.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
12×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
11×	`add-log-exp_binary64_5914`
10×	`add-cube-cbrt_binary64_5910`
9×	`times-frac_binary64_5881`
7×	`cancel-sign-sub-inv_binary64_5841`
6×	`associate-/r*_binary64_5819`
4×	`pow1_binary64_5936` `div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
3×	`div-inv_binary64_5872`
2×	`sum-log_binary64_5966` `diff-log_binary64_5967` `flip3-+_binary64_5878` `frac-sub_binary64_5884` `flip-+_binary64_5849` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `associate-/l*_binary64_5820`
1×	`flip3--_binary64_5879` `sub-neg_binary64_5868` `flip--_binary64_5850` `difference-of-squares_binary64_5844` `distribute-lft-out--_binary64_5827` `associate--l+_binary64_5812` `+-commutative_binary64_5805`

Counts

4 → 77

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
5.0ms	(/.f64 (*.f64 z t) 16)
4.0ms	(/.f64 (*.f64 a b) 4)

Compiler

Compiled 2001 to 978 computations (51.1% saved)

series793.0ms (7.6%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

437.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
198.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
54.0ms	(/.f64 (*.f64 a b) 4)
53.0ms	(/.f64 (*.f64 z t) 16)

Compiler

Compiled 2722 to 2220 computations (18.4% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4943	2156
1	4943	2156

prune148.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	5	150

Error

0.0b

Counts

150 → 5

Compiler

Compiled 2890 to 1349 computations (53.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z))))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z)))) (/.f64 (*.f64 a b) 4))
0.2b	(/.f64 16 (*.f64 t z))
1.1b	(/.f64 1 (/.f64 16 (*.f64 t z)))

rewrite187.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`times-frac_binary64_5881`
30×	`add-exp-log_binary64_5913`
26×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
24×	`add-cube-cbrt_binary64_5910`
18×	`add-cbrt-cube_binary64_5911`
14×	`div-exp_binary64_5926`
11×	`add-log-exp_binary64_5914`
8×	`associate-/r*_binary64_5819`
7×	`cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `cancel-sign-sub-inv_binary64_5841`
6×	`associate-/l*_binary64_5820`
5×	`pow1_binary64_5936`
4×	`prod-exp_binary64_5924`
3×	`1-exp_binary64_5919` `rec-exp_binary64_5925`
2×	`cbrt-unprod_binary64_5908` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `sum-log_binary64_5966` `diff-log_binary64_5967` `flip3-+_binary64_5878` `frac-sub_binary64_5884` `flip-+_binary64_5849`
1×	`inv-pow_binary64_5960` `pow-flip_binary64_5949` `associate-/r/_binary64_5821` `flip3--_binary64_5879` `sub-neg_binary64_5868` `flip--_binary64_5850` `difference-of-squares_binary64_5844` `distribute-lft-out--_binary64_5827` `associate--l+_binary64_5812` `+-commutative_binary64_5805`

Counts

4 → 112

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z)))) (/.f64 (*.f64 a b) 4))
10.0ms	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z))))
7.0ms	(/.f64 1 (/.f64 16 (*.f64 t z)))
5.0ms	(/.f64 16 (*.f64 t z))

Compiler

Compiled 3174 to 1751 computations (44.8% saved)

series795.0ms (7.6%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

437.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z)))) (/.f64 (*.f64 a b) 4))
190.0ms	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 t z))))
66.0ms	(/.f64 16 (*.f64 t z))
56.0ms	(/.f64 1 (/.f64 16 (*.f64 t z)))

Compiler

Compiled 2758 to 2255 computations (18.2% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4922	2654
1	4922	2654

prune176.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	184	5	189

Error

0.0b

Counts

189 → 5

Compiler

Compiled 3791 to 1869 computations (50.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 z t) 16)
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 b (neg.f64 a)) (pow.f64 (cbrt.f64 4) 3)))
1.0b	(pow.f64 (cbrt.f64 4) 3)

rewrite141.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_5875`
11×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `add-log-exp_binary64_5914`
10×	`add-exp-log_binary64_5913`
9×	`add-cbrt-cube_binary64_5911`
6×	`unpow-prod-down_binary64_5954` `cbrt-prod_binary64_5906` `cube-prod_binary64_5903`
5×	`pow1_binary64_5936`
4×	`sum-log_binary64_5966`
3×	`pow-unpow_binary64_5952` `flip3-+_binary64_5878` `flip-+_binary64_5849` `times-frac_binary64_5881` `associate-/r*_binary64_5819`
2×	`pow-pow_binary64_5947` `frac-add_binary64_5883` `+-commutative_binary64_5805` `div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
1×	`pow1/3_binary64_5957` `pow-to-exp_binary64_5944` `pow-exp_binary64_5943` `unpow3_binary64_5941` `cube-mult_binary64_5905` `rem-cube-cbrt_binary64_5898` `sqr-pow_binary64_5847` `distribute-rgt-neg-out_binary64_5835` `distribute-frac-neg_binary64_5838` `unsub-neg_binary64_5869` `distribute-lft-out_binary64_5826` `associate-+l+_binary64_5808` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872` `associate-/l*_binary64_5820`

Counts

4 → 79

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 b (neg.f64 a)) (pow.f64 (cbrt.f64 4) 3)))
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
5.0ms	(/.f64 (*.f64 z t) 16)
3.0ms	(pow.f64 (cbrt.f64 4) 3)

Compiler

Compiled 2380 to 1286 computations (46% saved)

series1.1s (10.7%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

812.0ms	(+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 b (neg.f64 a)) (pow.f64 (cbrt.f64 4) 3)))
198.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
51.0ms	(/.f64 (*.f64 z t) 16)
0.0ms	(pow.f64 (cbrt.f64 4) 3)

Compiler

Compiled 2954 to 2483 computations (15.9% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	1960
1	4930	1960

prune143.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Error

0.0b

Counts

150 → 5

Compiler

Compiled 3110 to 1532 computations (50.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b))) c)
0.0b	(-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b)))
0.0b	(.f64 1/4 (.f64 a b))

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_5914`
8×	`pow1_binary64_5936` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
6×	`*-un-lft-identity_binary64_5875`
4×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
3×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `associate-l_binary64_5816`
2×	`diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `sum-log_binary64_5966` `associate-+l+_binary64_5808`
1×	`associate-r_binary64_5815` `*-commutative_binary64_5806` `flip3--_binary64_5879` `flip--_binary64_5850` `flip3-+_binary64_5878` `flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `associate-+l-_binary64_5810` `+-commutative_binary64_5805`

Counts

3 → 46

Calls

3 calls:

6.0ms	(+.f64 (-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b))) c)
5.0ms	(.f64 1/4 (.f64 a b))
4.0ms	(-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b)))

Compiler

Compiled 872 to 403 computations (53.8% saved)

series526.0ms (5.1%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

250.0ms	(+.f64 (-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b))) c)
191.0ms	(-.f64 (.f64 x y) (.f64 1/4 (*.f64 a b)))
55.0ms	(.f64 1/4 (.f64 a b))

Compiler

Compiled 1367 to 1278 computations (6.5% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	1332
1	4983	1332

prune70.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	106	5	111

Error

0.0b

Counts

111 → 5

Compiler

Compiled 1274 to 499 computations (60.8% saved)

regimes1.0s (9.6%)

Accuracy

Total 0.1b remaining (62.3%)

Threshold costs 0.1b (62.3%)

Compiler

Compiled 11459 to 10581 computations (7.7% saved)

bsearch0.0ms (0%)

simplify46.0ms (0.4%)

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%)

sample2.1s (19.8%)

Algorithm

1×

intervals

Results

436.0ms	8000×	body	128	valid
226.0ms	3991×	body	128	invalid

Compiler

Compiled 790 to 729 computations (7.7% saved)

Details

analyze2.5s (24.2%)

sample72.0ms (0.7%)

simplify74.0ms (0.7%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite127.0ms (1.2%)

series793.0ms (7.6%)

simplify83.0ms (0.8%)

prune148.0ms (1.4%)

localize14.0ms (0.1%)

rewrite187.0ms (1.8%)

series795.0ms (7.6%)

simplify78.0ms (0.8%)

prune176.0ms (1.7%)

localize19.0ms (0.2%)

rewrite141.0ms (1.4%)

series1.1s (10.7%)

simplify67.0ms (0.6%)

prune143.0ms (1.4%)

localize8.0ms (0.1%)

rewrite61.0ms (0.6%)

series526.0ms (5.1%)

simplify66.0ms (0.6%)

prune70.0ms (0.7%)

regimes1.0s (9.6%)

bsearch0.0ms (0%)

simplify46.0ms (0.4%)

end0.0ms (0%)

sample2.1s (19.8%)

Profiling