Details

analyze2.2s (22%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	400
1	4968	400
0	6	6
1	6	6

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
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Symmetry

sort(y z t)

sort(a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample65.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	99×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	788	25
1	788	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

2.6b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
0.5b	(.f64 (.f64 y 9) z)
5.9b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite136.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
12×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
9×	`add-log-exp_binary64_21259` `associate-r_binary64_21160`
7×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
3×	`associate-l_binary64_21161` `*-commutative_binary64_21151`
2×	`sum-log_binary64_21311` `associate-+l+_binary64_21153`
1×	`diff-log_binary64_21312` `flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-+l-_binary64_21155` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186` `+-commutative_binary64_21150`

Counts

4 → 72

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series805.0ms (8%)

Error

1.7b

Counts

4 → 57

Calls

4 calls:

517.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
123.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
59.0ms	(.f64 (.f64 y 9) z)
57.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4982	1863
1	4982	1863

prune140.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Error

0.0b

Counts

130 → 10

Compiler

Compiled 2548 to 1437 computations (43.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 y (.f64 9 z))
0.2b	(.f64 (.f64 a 27) b)
5.9b	(.f64 (.f64 y (*.f64 9 z)) t)

rewrite111.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
12×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
9×	`add-log-exp_binary64_21259`
7×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `-un-lft-identity_binary64_21220` `associate-r*_binary64_21160`
5×	`associate-l_binary64_21161`
3×	`*-commutative_binary64_21151`
2×	`sum-log_binary64_21311` `associate-+l+_binary64_21153`
1×	`diff-log_binary64_21312` `flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-+l-_binary64_21155` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186` `+-commutative_binary64_21150`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
5.0ms	(.f64 y (.f64 9 z))
5.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series794.0ms (7.9%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

530.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y (.f64 9 z)) t)) (.f64 (.f64 a 27) b))
116.0ms	(.f64 (.f64 y (*.f64 9 z)) t)
57.0ms	(.f64 (.f64 a 27) b)
54.0ms	(.f64 y (.f64 9 z))

Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4951	1864
1	4951	1864

prune121.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	128	11	139

Error

0.0b

Counts

139 → 11

Compiler

Compiled 2550 to 1438 computations (43.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
0.2b	(.f64 a (.f64 27 b))
0.5b	(.f64 (.f64 y 9) z)
5.9b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite114.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
12×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
9×	`add-log-exp_binary64_21259`
7×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `-un-lft-identity_binary64_21220` `associate-r*_binary64_21160`
5×	`associate-l_binary64_21161`
3×	`*-commutative_binary64_21151`
2×	`sum-log_binary64_21311` `associate-+l+_binary64_21153`
1×	`diff-log_binary64_21312` `flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-+l-_binary64_21155` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186` `+-commutative_binary64_21150`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
5.0ms	(.f64 a (.f64 27 b))
5.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series767.0ms (7.6%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

494.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
116.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
60.0ms	(.f64 a (.f64 27 b))
59.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4954	1861
1	4954	1861

prune122.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	129	11	140

Error

0.0b

Counts

140 → 11

Compiler

Compiled 2533 to 1417 computations (44.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 27 (.f64 a b)))
0.3b	(.f64 27 (.f64 a b))
0.5b	(.f64 (.f64 y 9) z)
5.9b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite107.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
12×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
9×	`add-log-exp_binary64_21259`
7×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `-un-lft-identity_binary64_21220` `associate-r*_binary64_21160`
5×	`associate-l_binary64_21161`
3×	`*-commutative_binary64_21151`
2×	`sum-log_binary64_21311` `associate-+l+_binary64_21153`
1×	`diff-log_binary64_21312` `flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-+l-_binary64_21155` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186` `+-commutative_binary64_21150`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 27 (.f64 a b)))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 27 (.f64 a b))
5.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1755 to 1085 computations (38.2% saved)

series766.0ms (7.6%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

486.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 27 (.f64 a b)))
122.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
60.0ms	(.f64 (.f64 y 9) z)
59.0ms	(.f64 27 (.f64 a b))

Compiler

Compiled 2249 to 1907 computations (15.2% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4960	1861
1	4960	1861

prune104.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	129	11	140

Error

0.0b

Counts

140 → 11

Compiler

Compiled 2361 to 1200 computations (49.2% saved)

regimes1.3s (12.9%)

Accuracy

Total 3.8b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 12914 to 12507 computations (3.2% saved)

bsearch30.0ms (0.3%)

Steps

Iters	Range		Point
8	1.8711800521798713e-17	1.1398523991239495e-12	3.1480569789316297e-16

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	56
1	128	56

Removed

()

Compiler

Compiled 152 to 124 computations (18.4% saved)

end0.0ms (0%)

sample1.9s (18.4%)

Algorithm

1×

intervals

Results

397.0ms	8000×	body	128	valid
161.0ms	3066×	body	128	invalid

Compiler

Compiled 894 to 852 computations (4.7% saved)

Details

analyze2.2s (22%)

sample65.0ms (0.6%)

simplify52.0ms (0.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite136.0ms (1.3%)

series805.0ms (8%)

simplify99.0ms (1%)

prune140.0ms (1.4%)

localize13.0ms (0.1%)

rewrite111.0ms (1.1%)

series794.0ms (7.9%)

simplify80.0ms (0.8%)

prune121.0ms (1.2%)

localize12.0ms (0.1%)

rewrite114.0ms (1.1%)

series767.0ms (7.6%)

simplify81.0ms (0.8%)

prune122.0ms (1.2%)

localize13.0ms (0.1%)

rewrite107.0ms (1.1%)

series766.0ms (7.6%)

simplify94.0ms (0.9%)

prune104.0ms (1%)

regimes1.3s (12.9%)

bsearch30.0ms (0.3%)

simplify57.0ms (0.6%)

end0.0ms (0%)

sample1.9s (18.4%)

Profiling