Details

analyze224.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5024	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample43.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms	47×	body	2048	valid
6.0ms	43×	body	1024	valid
3.0ms	35×	body	512	valid
3.0ms	111×	body	128	valid
1.0ms	20×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune2.0ms (0.1%)

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

26.4b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

26.3b

Rules

7×	`add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
3×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394` `exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`

Counts

2 → 28

Calls

2 calls:

8.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 346 to 156 computations (54.9% saved)

series93.0ms (2.2%)

Error

0.1b

Counts

2 → 22

Calls

2 calls:

46.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
32.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 582 to 462 computations (20.6% saved)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4936	572
1	4936	572

prune36.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 551 to 271 computations (50.8% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
4.0b	(-.f64 (pow.f64 (exp.f64 (*.f64 a x)) 3) 1)

rewrite80.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_1464`
12×	`add-log-exp_binary64_1481`
11×	`*-un-lft-identity_binary64_1442`
8×	`difference-of-squares_binary64_1411`
5×	`add-cube-cbrt_binary64_1477`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `difference-of-sqr-1_binary64_1412`
3×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `sqr-pow_binary64_1414` `cancel-sign-sub-inv_binary64_1408` `exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394`

Counts

4 → 57

Calls

4 calls:

7.0ms	(-.f64 (pow.f64 (exp.f64 (*.f64 a x)) 3) 1)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 1647 to 776 computations (52.9% saved)

series283.0ms (6.8%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

117.0ms	(-.f64 (pow.f64 (exp.f64 (*.f64 a x)) 3) 1)
40.0ms	(exp.f64 (*.f64 a x))
39.0ms	(exp.f64 (*.f64 a x))
37.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 2918 to 1848 computations (36.7% saved)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4932	1296
1	4932	1296

prune115.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	101	6	107

Error

0.0b

Counts

107 → 6

Compiler

Compiled 2825 to 1399 computations (50.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
0.1b	(/.f64 (.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x)))) (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) (+.f64 (exp.f64 (.f64 a x)) 1)))
0.2b	(.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x))))
0.2b	(.f64 9/2 (.f64 a x))

rewrite146.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
18×	`*-un-lft-identity_binary64_1442`
14×	`pow1_binary64_1503`
9×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
8×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
6×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393`
5×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
4×	`associate-l_binary64_1383` `associate-r_binary64_1382` `associate-*r/_binary64_1384`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
2×	`*-commutative_binary64_1373` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l*_binary64_1387` `exp-to-pow_binary64_1504` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`

Counts

4 → 81

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x)))) (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) (+.f64 (exp.f64 (.f64 a x)) 1)))
7.0ms	(.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x))))
5.0ms	(.f64 9/2 (.f64 a x))
2.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 2921 to 1394 computations (52.3% saved)

series649.0ms (15.5%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

377.0ms	(/.f64 (.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x)))) (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) (+.f64 (exp.f64 (.f64 a x)) 1)))
152.0ms	(.f64 (.f64 a x) (+.f64 3 (.f64 9/2 (.f64 a x))))
57.0ms	(.f64 9/2 (.f64 a x))
26.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 2606 to 1574 computations (39.6% saved)

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4939	2577
1	4939	2577

prune137.0ms (3.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	121	4	125

Error

0.0b

Counts

125 → 4

Compiler

Compiled 3480 to 1632 computations (53.1% saved)

regimes397.0ms (9.5%)

Accuracy

Total 0.4b remaining (82.4%)

Threshold costs 0.4b (82.4%)

Compiler

Compiled 3000 to 2008 computations (33.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

Remove

(sort a x)

Compiler

Compiled 64 to 36 computations (43.8% saved)

end0.0ms (0%)

sample1.6s (37.6%)

Algorithm

1×

intervals

Results

426.0ms	1475×	body	2048	valid
251.0ms	1744×	body	1024	valid
89.0ms	1065×	body	512	valid
77.0ms	3067×	body	128	valid
36.0ms	649×	body	256	valid
3.0ms	133×	body	128	invalid

Compiler

Compiled 523 to 346 computations (33.8% saved)

Details

analyze224.0ms (5.4%)

sample43.0ms (1%)

simplify66.0ms (1.6%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.8%)

series93.0ms (2.2%)

simplify76.0ms (1.8%)

prune36.0ms (0.9%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite80.0ms (1.9%)

series283.0ms (6.8%)

simplify80.0ms (1.9%)

prune115.0ms (2.8%)

localize15.0ms (0.4%)

rewrite146.0ms (3.5%)

series649.0ms (15.5%)

simplify89.0ms (2.1%)

prune137.0ms (3.3%)

regimes397.0ms (9.5%)

bsearch1.0ms (0%)

simplify10.0ms (0.2%)

end0.0ms (0%)

sample1.6s (37.6%)

Profiling