Details

analyze282.0ms (7.3%)

Algorithm

1×

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
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
4×	`add-log-exp_binary64_9665`
3×	`associate-l_binary64_9567` `add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `*-un-lft-identity_binary64_9626` `cbrt-unprod_binary64_9659`
1×	`+-commutative_binary64_9556` `-commutative_binary64_9557` `flip-+_binary64_9600` `sum-log_binary64_9717` `flip3-+_binary64_9629` `associate-r*_binary64_9566`

Counts

2 → 29

Calls

4 calls:

6.0ms	(.f64 z (.f64 z 3))
5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.0ms	(.f64 z (.f64 z 3))

series166.0ms (4.3%)

Counts

2 → 21

Calls

2 calls:

141.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
24.0ms	(.f64 z (.f64 z 3))

Compiler

Compiled 251 to 264 computations (-5.2% saved)

simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4926	545
1	4926	545

prune48.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Error

0.0b

Counts

52 → 5

Compiler

Compiled 609 to 330 computations (45.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_9665`
9×	`sum-log_binary64_9717`
2×	`add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `+-commutative_binary64_9556` `*-un-lft-identity_binary64_9626` `pow1_binary64_9687` `add-exp-log_binary64_9664` `flip-+_binary64_9600` `associate-+l+_binary64_9559` `flip3-+_binary64_9629` `add-cbrt-cube_binary64_9662`

Counts

2 → 27

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

series292.0ms (7.6%)

Counts

2 → 36

Calls

2 calls:

150.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
142.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))

Compiler

Compiled 502 to 474 computations (5.6% saved)

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4860	817
1	4860	817

prune42.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Error

0.0b

Counts

68 → 7

Compiler

Compiled 893 to 225 computations (74.8% saved)

localize11.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.3b	(.f64 (.f64 z 3) (cbrt.f64 z))
0.2b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (.f64 z 3) (cbrt.f64 z)))
0.0b	(+.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (*.f64 z 3) (cbrt.f64 z))))
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9657`
23×	`add-sqr-sqrt_binary64_9648`
15×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
11×	`pow1_binary64_9687`
9×	`pow1/3_binary64_9708`
6×	`associate-l_binary64_9567` `swap-sqr_binary64_9593` `add-exp-log_binary64_9664` `associate-r_binary64_9566`
4×	`add-log-exp_binary64_9665` `unswap-sqr_binary64_9594` `add-cbrt-cube_binary64_9662`
2×	`pow-prod-up_binary64_9696` `pow-prod-down_binary64_9697` `pow-sqr_binary64_9599`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `prod-exp_binary64_9675` `*-commutative_binary64_9557` `cbrt-unprod_binary64_9659`

Counts

4 → 73

Calls

8 calls:

9.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (*.f64 z 3) (cbrt.f64 z))))

series318.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
80.0ms	(cbrt.f64 z)
75.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 z)

Compiler

Compiled 442 to 358 computations (19% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune74.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	86	6	92

Error

Counts

92 → 6

Compiler

Compiled 1649 to 695 computations (57.9% saved)

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 z)
0.3b	(.f64 (.f64 z 3) (cbrt.f64 z))
0.2b	(.f64 (cbrt.f64 (.f64 z z)) (.f64 (.f64 z 3) (cbrt.f64 z)))
0.0b	(+.f64 (.f64 x y) (.f64 (cbrt.f64 (.f64 z z)) (.f64 (*.f64 z 3) (cbrt.f64 z))))
0.2b	(.f64 (cbrt.f64 (.f64 z z)) (.f64 (.f64 z 3) (cbrt.f64 z)))
0.3b	(.f64 (.f64 z 3) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
19.4b	(cbrt.f64 (*.f64 z z))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_9687` `add-exp-log_binary64_9664`
11×	`add-cbrt-cube_binary64_9662`
9×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
8×	`add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `cbrt-prod_binary64_9657` `*-un-lft-identity_binary64_9626`
7×	`associate-r_binary64_9566`
5×	`associate-l_binary64_9567`
4×	`add-log-exp_binary64_9665`
2×	`pow1/3_binary64_9708` `*-commutative_binary64_9557`

Counts

4 → 63

Calls

8 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 z z)) (.f64 (.f64 z 3) (cbrt.f64 z)))
7.0ms	(.f64 (.f64 z 3) (cbrt.f64 z))
3.0ms	(cbrt.f64 (*.f64 z z))
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 (.f64 x y) (.f64 (cbrt.f64 (.f64 z z)) (.f64 (*.f64 z 3) (cbrt.f64 z))))

series281.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(.f64 (.f64 z 3) (cbrt.f64 z))
73.0ms	(cbrt.f64 (*.f64 z z))
69.0ms	(cbrt.f64 z)
33.0ms	(.f64 (cbrt.f64 (.f64 z z)) (.f64 (.f64 z 3) (cbrt.f64 z)))

Compiler

Compiled 364 to 322 computations (11.5% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5061	592

prune54.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Error

Counts

81 → 6

Compiler

Compiled 1207 to 567 computations (53% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	142	371
1	142	371

regimes164.0ms (4.3%)

Compiler: Compiled 1309 to 1000 computations (23.6% saved)

bsearch0.0ms (0%)

regimes70.0ms (1.8%)

Compiler: Compiled 188 to 254 computations (-35.1% saved)

bsearch0.0ms (0%)

regimes187.0ms (4.8%)

Compiler: Compiled 98 to 174 computations (-77.6% saved)

bsearch75.0ms (2%)

Steps

Iters	Range		Point
5	8.404770273595951e-59	2.0736993950918425e-58	1.918555859818006e-58
8	-1.1080744956132052e-138	-4.338691163876641e-143	-1.0889294763047725e-138
9	-8.459777097463373e-123	-8.630282729451018e-130	-8.793719879826363e-130
9	-1078700819016832.6	-432237.87181405624	-2098359403.335421
9	-4.942650123945487e+65	-4.439596180048739e+59	-4.860094235806132e+65
2	-3.320470463386037e+83	-2.8874405204948573e+83	-2.941569263356255e+83

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes178.0ms (4.6%)

Compiler: Compiled 73 to 144 computations (-97.3% saved)

bsearch77.0ms (2%)

Steps

Iters	Range		Point
5	8.404770273595951e-59	2.0736993950918425e-58	1.9806132739275406e-58
8	-1.1080744956132052e-138	-4.338691163876641e-143	-1.0889294763047725e-138
9	-8.459777097463373e-123	-8.630282729451018e-130	-8.793719879826363e-130
9	-1078700819016832.6	-432237.87181405624	-1712951.0384761482
9	-4.942650123945487e+65	-4.439596180048739e+59	-4.860094235806132e+65
2	-3.320470463386037e+83	-2.8874405204948573e+83	-2.941569263356255e+83

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes39.0ms (1%)

Compiler: Compiled 36 to 90 computations (-150% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.7%)

Accuracy

Total 0.1b remaining (92.5%)

Threshold costs 0.1b (92.5%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.2%)

Compiler: Compiled 133 to 93 computations (30.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	93	167
1	93	167

end0.0ms (0%)

sample880.0ms (22.8%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
16.0ms	471×	body	128	invalid

Compiler

Compiled 390 to 294 computations (24.6% saved)

Pareto

0.6211475446778852

Details

analyze282.0ms (7.3%)

sample17.0ms (0.4%)

simplify96.0ms (2.5%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.3%)

series166.0ms (4.3%)

simplify98.0ms (2.5%)

prune48.0ms (1.2%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series292.0ms (7.6%)

simplify96.0ms (2.5%)

prune42.0ms (1.1%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series318.0ms (8.2%)

simplify78.0ms (2%)

prune74.0ms (1.9%)

localize12.0ms (0.3%)

rewrite26.0ms (0.7%)

series281.0ms (7.3%)

simplify79.0ms (2%)

prune54.0ms (1.4%)

simplify7.0ms (0.2%)

regimes164.0ms (4.3%)

bsearch0.0ms (0%)

regimes70.0ms (1.8%)

bsearch0.0ms (0%)

regimes187.0ms (4.8%)

bsearch75.0ms (2%)

regimes178.0ms (4.6%)

bsearch77.0ms (2%)

regimes39.0ms (1%)

bsearch0.0ms (0%)

regimes28.0ms (0.7%)

bsearch6.0ms (0.2%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample880.0ms (22.8%)

Profiling