Details

analyze289.0ms (10%)

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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify168.0ms (5.8%)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_13952` `add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
4×	`add-log-exp_binary64_13930`
3×	`-un-lft-identity_binary64_13894` `add-cube-cbrt_binary64_13926` `pow-prod-down_binary64_13962` `prod-exp_binary64_13940` `cbrt-unprod_binary64_13924` `add-sqr-sqrt_binary64_13915` `associate-l*_binary64_13837`
1×	`+-commutative_binary64_13826` `flip-+_binary64_13868` `flip3-+_binary64_13897` `-commutative_binary64_13827` `associate-r*_binary64_13836` `sum-log_binary64_13982`

Counts

2 → 29

Calls

2 calls:

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

series113.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
35.0ms	(.f64 z (.f64 z 3))

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4892	419
1	4892	419

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

Compiler

Compiled 508 to 282 computations (44.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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 (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_13930`
9×	`sum-log_binary64_13982`
2×	`associate-+l+_binary64_13829` `+-commutative_binary64_13826` `pow1_binary64_13952` `flip-+_binary64_13868` `add-exp-log_binary64_13929` `*-un-lft-identity_binary64_13894` `flip3-+_binary64_13897` `add-cube-cbrt_binary64_13926` `add-sqr-sqrt_binary64_13915` `add-cbrt-cube_binary64_13927`

Counts

2 → 27

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))

series170.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
84.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5138	565

prune26.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

Compiler

Compiled 603 to 164 computations (72.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.3b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
18.0b	(sqrt.f64 (.f64 z (.f64 z 3)))
18.0b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_13952`
80×	`pow-prod-down_binary64_13962`
66×	`sqrt-pow1_binary64_13911`
17×	`pow-prod-up_binary64_13961`
14×	`pow1/2_binary64_13971`
11×	`add-exp-log_binary64_13929` `pow-sqr_binary64_13867` `add-sqr-sqrt_binary64_13915` `add-cbrt-cube_binary64_13927`
9×	`*-un-lft-identity_binary64_13894` `add-cube-cbrt_binary64_13926`
7×	`associate-l_binary64_13837`
6×	`sqrt-prod_binary64_13909`
5×	`associate-r_binary64_13836`
4×	`add-log-exp_binary64_13930` `prod-exp_binary64_13940` `cbrt-unprod_binary64_13924` `swap-sqr_binary64_13861`
2×	`*-commutative_binary64_13827`
1×	`sqrt-unprod_binary64_13913` `pow2_binary64_13972` `rem-square-sqrt_binary64_13906` `pow-plus_binary64_13954` `unswap-sqr_binary64_13862`

Counts

4 → 108

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
5.0ms	(.f64 z (.f64 z 3))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

series202.0ms (7%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
46.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
41.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
37.0ms	(.f64 z (.f64 z 3))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5095	737

prune112.0ms (3.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

Compiler

Compiled 1875 to 1168 computations (37.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (.f64 z (sqrt.f64 3)))))
0.3b	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (*.f64 z (sqrt.f64 3))))
0.3b	(*.f64 z (sqrt.f64 3))
0.3b	(*.f64 z (sqrt.f64 3))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_13915`
15×	`pow1_binary64_13952` `associate-r_binary64_13836`
14×	`*-un-lft-identity_binary64_13894` `add-cube-cbrt_binary64_13926`
10×	`add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
9×	`associate-l_binary64_13837`
8×	`sqrt-prod_binary64_13909`
6×	`add-log-exp_binary64_13930`
5×	`unswap-sqr_binary64_13862`
3×	`*-commutative_binary64_13827` `pow-prod-down_binary64_13962` `prod-exp_binary64_13940` `cbrt-unprod_binary64_13924` `swap-sqr_binary64_13861`
1×	`+-commutative_binary64_13826` `flip-+_binary64_13868` `pow-prod-up_binary64_13961` `pow2_binary64_13972` `flip3-+_binary64_13897` `pow-sqr_binary64_13867` `pow-plus_binary64_13954` `sum-log_binary64_13982`

Counts

4 → 80

Calls

4 calls:

5.0ms	(*.f64 z (sqrt.f64 3))
5.0ms	(*.f64 z (sqrt.f64 3))
4.0ms	(+.f64 (.f64 x y) (.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (.f64 z (sqrt.f64 3)))))
4.0ms	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (*.f64 z (sqrt.f64 3))))

series212.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(+.f64 (.f64 x y) (.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (.f64 z (sqrt.f64 3)))))
49.0ms	(*.f64 z (sqrt.f64 3))
47.0ms	(*.f64 z (sqrt.f64 3))
41.0ms	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (fabs.f64 (*.f64 z (sqrt.f64 3))))

simplify90.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4887	1034
1	4887	1034

prune94.0ms (3.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	92	5	97

Merged error: 0b

Counts

97 → 5

Compiler

Compiled 1611 to 1120 computations (30.5% saved)

regimes200.0ms (6.9%)

Compiler: Compiled 1632 to 1424 computations (12.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample811.0ms (28.1%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
14.0ms	488×	body	128	invalid

Compiler

Compiled 293 to 253 computations (13.7% saved)

Details

analyze289.0ms (10%)

sample16.0ms (0.6%)

simplify168.0ms (5.8%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series113.0ms (3.9%)

simplify82.0ms (2.9%)

prune32.0ms (1.1%)

localize7.0ms (0.2%)

rewrite22.0ms (0.8%)

series170.0ms (5.9%)

simplify66.0ms (2.3%)

prune26.0ms (0.9%)

localize9.0ms (0.3%)

rewrite37.0ms (1.3%)

series202.0ms (7%)

simplify69.0ms (2.4%)

prune112.0ms (3.9%)

localize11.0ms (0.4%)

rewrite25.0ms (0.9%)

series212.0ms (7.3%)

simplify90.0ms (3.1%)

prune94.0ms (3.3%)

regimes200.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample811.0ms (28.1%)

Profiling