Details

analyze477.0ms (15.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1237	52
1	1237	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	549	13
1	549	13

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.2b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_17832` `add-exp-log_binary64_17848` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
8×	`*-un-lft-identity_binary64_17810`
6×	`associate-r_binary64_17750` `associate-l/_binary64_17753` `add-cube-cbrt_binary64_17845` `associate-l*_binary64_17751`
5×	`add-log-exp_binary64_17849`
4×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859`
2×	`flip3--_binary64_17814` `*-commutative_binary64_17741` `flip--_binary64_17785`
1×	`unswap-sqr_binary64_17778` `sum-log_binary64_17901` `flip-+_binary64_17784` `+-commutative_binary64_17740` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762` `flip3-+_binary64_17813`

Counts

3 → 53

Calls

3 calls:

9.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
8.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

series95.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

39.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
37.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
19.0ms	(*.f64 (-.f64 y x) 6)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5313	767

prune59.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	8	63

Error

0.0b

Counts

63 → 8

Compiler

Compiled 973 to 524 computations (46.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.3b	(.f64 (-.f64 y x) (.f64 6 z))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_17848` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
5×	`add-sqr-sqrt_binary64_17832` `-un-lft-identity_binary64_17810` `associate-l*_binary64_17751`
4×	`add-log-exp_binary64_17849`
3×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `add-cube-cbrt_binary64_17845`
2×	`associate-*l/_binary64_17753`
1×	`sum-log_binary64_17901` `flip3--_binary64_17814` `-commutative_binary64_17741` `associate-r*_binary64_17750` `flip-+_binary64_17784` `flip--_binary64_17785` `+-commutative_binary64_17740` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762` `flip3-+_binary64_17813`

Counts

2 → 33

Calls

2 calls:

8.0ms	(.f64 (-.f64 y x) (.f64 6 z))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

series76.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(.f64 (-.f64 y x) (.f64 6 z))
37.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5130	552

prune38.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	38	9	47

Error

0.0b

Counts

47 → 9

Compiler

Compiled 687 to 379 computations (44.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.2b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_17848` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
16×	`add-sqr-sqrt_binary64_17832`
15×	`associate-r_binary64_17750`
12×	`-un-lft-identity_binary64_17810` `associate-l/_binary64_17753`
10×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `add-cube-cbrt_binary64_17845`
7×	`sqrt-prod_binary64_17826` `associate-l_binary64_17751`
6×	`add-log-exp_binary64_17849`
3×	`flip3--_binary64_17814` `*-commutative_binary64_17741` `flip--_binary64_17785`
2×	`unswap-sqr_binary64_17778`
1×	`sum-log_binary64_17901` `flip-+_binary64_17784` `+-commutative_binary64_17740` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762` `flip3-+_binary64_17813`

Counts

4 → 83

Calls

4 calls:

13.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
9.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))

series240.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
78.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
46.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
32.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	1164

prune83.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Error

0.0b

Counts

104 → 8

Compiler

Compiled 1563 to 923 computations (40.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))
0.2b	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
0.2b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))
0.6b	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6))

rewrite89.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_17848` `pow1_binary64_17871`
35×	`add-cbrt-cube_binary64_17846`
34×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859`
20×	`associate-*l/_binary64_17753`
19×	`associate-r_binary64_17750`
14×	`add-sqr-sqrt_binary64_17832`
13×	`*-un-lft-identity_binary64_17810`
11×	`add-cube-cbrt_binary64_17845`
8×	`associate-l_binary64_17751`
6×	`sqrt-prod_binary64_17826` `cbrt-prod_binary64_17841`
4×	`flip3--_binary64_17814` `*-commutative_binary64_17741` `flip--_binary64_17785` `add-log-exp_binary64_17849`
1×	`unswap-sqr_binary64_17778` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762`

Counts

4 → 110

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
20.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6))
18.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))
13.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))

series280.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6))))
82.0ms	(.f64 (.f64 (.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6)) z)
52.0ms	(.f64 (.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6))) (sqrt.f64 6))
33.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 (sqrt.f64 6)) (cbrt.f64 (sqrt.f64 6)))) (cbrt.f64 (sqrt.f64 6)))

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5157	1624

prune126.0ms (4.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	122	8	130

Error

0.0b

Counts

130 → 8

Compiler

Compiled 2230 to 1500 computations (32.7% saved)

regimes153.0ms (5.1%)

Accuracy

Total 0.2b remaining (96.8%)

Threshold costs 0.2b (96.8%)

Compiler

Compiled 1492 to 1170 computations (21.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample880.0ms (29.1%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	128	valid
20.0ms	609×	body	128	invalid

Compiler

Compiled 395 to 312 computations (21% saved)

Details

analyze477.0ms (15.8%)

sample17.0ms (0.6%)

simplify38.0ms (1.3%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite24.0ms (0.8%)

series95.0ms (3.2%)

simplify64.0ms (2.1%)

prune59.0ms (1.9%)

localize7.0ms (0.2%)

rewrite14.0ms (0.5%)

series76.0ms (2.5%)

simplify64.0ms (2.1%)

prune38.0ms (1.3%)

localize9.0ms (0.3%)

rewrite43.0ms (1.4%)

series240.0ms (7.9%)

simplify58.0ms (1.9%)

prune83.0ms (2.8%)

localize12.0ms (0.4%)

rewrite89.0ms (3%)

series280.0ms (9.2%)

simplify68.0ms (2.3%)

prune126.0ms (4.2%)

regimes153.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample880.0ms (29.1%)

Profiling