Details

analyze50.0ms (1.7%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.3%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify170.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 x y) x)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_16826` `*-un-lft-identity_binary64_16787`
3×	`sum-log_binary64_16878` `distribute-lft-out_binary64_16738`
1×	`pow1_binary64_16848` `associate-+l+_binary64_16720` `add-cube-cbrt_binary64_16822` `flip-+_binary64_16761` `add-sqr-sqrt_binary64_16809` `add-exp-log_binary64_16825` `+-commutative_binary64_16717` `add-cbrt-cube_binary64_16823` `flip3-+_binary64_16790`

Counts

1 → 15

Calls

1 calls:

7.0ms

(+.f64 (+.f64 x y) x)

series35.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(+.f64 (+.f64 x y) x)

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5010	169

prune12.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

Compiler

Compiled 191 to 56 computations (70.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite54.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_16787`
51×	`cbrt-prod_binary64_16818`
33×	`distribute-lft-out_binary64_16738`
23×	`add-sqr-sqrt_binary64_16809`
18×	`cbrt-div_binary64_16819`
15×	`add-cube-cbrt_binary64_16822`
14×	`swap-sqr_binary64_16754`
11×	`pow1_binary64_16848`
9×	`flip-+_binary64_16761` `pow1/3_binary64_16869` `flip3-+_binary64_16790`
8×	`associate-r_binary64_16727` `associate-l_binary64_16728`
6×	`add-exp-log_binary64_16825`
4×	`add-log-exp_binary64_16826` `frac-times_binary64_16797` `unswap-sqr_binary64_16755` `add-cbrt-cube_binary64_16823`
2×	`associate-r/_binary64_16729` `pow-prod-up_binary64_16857` `pow-sqr_binary64_16760` `associate-l/_binary64_16730` `pow-prod-down_binary64_16858`
1×	`pow2_binary64_16868` `cbrt-unprod_binary64_16820` `pow-plus_binary64_16850` `prod-exp_binary64_16836` `*-commutative_binary64_16718`

Counts

4 → 105

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
9.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series1.2s (39%)

Counts

4 → 12

Calls

4 calls:

333.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
278.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
276.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
269.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4831	2059
1	4831	2059

prune103.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0.0b

Counts

121 → 5

Compiler

Compiled 2976 to 653 computations (78.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (+.f64 x y)))
0.0b	(+.f64 x (+.f64 x y))
0.0b	(+.f64 x (+.f64 x y))
0.2b	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_16787`
43×	`sqrt-prod_binary64_16803`
33×	`distribute-lft-out_binary64_16738`
28×	`add-sqr-sqrt_binary64_16809`
20×	`pow1_binary64_16848`
16×	`swap-sqr_binary64_16754`
14×	`add-log-exp_binary64_16826` `sqrt-div_binary64_16804`
13×	`add-cube-cbrt_binary64_16822`
9×	`pow1/2_binary64_16867` `sqrt-pow1_binary64_16805` `flip-+_binary64_16761` `flip3-+_binary64_16790`
8×	`associate-r_binary64_16727` `associate-l_binary64_16728`
6×	`sum-log_binary64_16878` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`pow-prod-up_binary64_16857`
4×	`frac-times_binary64_16797` `unswap-sqr_binary64_16755`
3×	`rem-sqrt-square_binary64_16800` `pow-sqr_binary64_16760` `pow-prod-down_binary64_16858`
2×	`associate-r/_binary64_16729` `associate-+r+_binary64_16719` `+-commutative_binary64_16717` `associate-l/_binary64_16730`
1×	`pow2_binary64_16868` `sqrt-unprod_binary64_16807` `cbrt-unprod_binary64_16820` `rem-square-sqrt_binary64_16799` `pow-plus_binary64_16850` `prod-exp_binary64_16836` `*-commutative_binary64_16718` `sqr-abs_binary64_16802`

Counts

4 → 117

Calls

4 calls:

22.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
7.0ms	(+.f64 x (+.f64 x y))
7.0ms	(+.f64 x (+.f64 x y))
6.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))

series178.0ms (6%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
54.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))
36.0ms	(+.f64 x (+.f64 x y))
31.0ms	(+.f64 x (+.f64 x y))

simplify87.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4904	1523
1	4904	1523

prune79.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

Compiler

Compiled 1939 to 394 computations (79.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 x (+.f64 x y)) 3)
0.0b	(+.f64 x (+.f64 x y))
44.3b	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_16787`
16×	`cbrt-prod_binary64_16818`
15×	`distribute-lft-out_binary64_16738`
10×	`cube-prod_binary64_16815` `unpow-prod-down_binary64_16866`
9×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809`
8×	`add-log-exp_binary64_16826`
4×	`pow1_binary64_16848` `cube-div_binary64_16816` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`pow-unpow_binary64_16864` `sum-log_binary64_16878` `flip-+_binary64_16761` `flip3-+_binary64_16790`
2×	`cube-mult_binary64_16817` `unpow3_binary64_16853` `cbrt-div_binary64_16819` `sqr-pow_binary64_16759`
1×	`pow-exp_binary64_16855` `rem-cube-cbrt_binary64_16810` `associate-+r+_binary64_16719` `pow-pow_binary64_16859` `pow1/3_binary64_16869` `+-commutative_binary64_16717` `pow-to-exp_binary64_16856` `rem-cbrt-cube_binary64_16811`

Counts

3 → 71

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
7.0ms	(pow.f64 (+.f64 x (+.f64 x y)) 3)
6.0ms	(+.f64 x (+.f64 x y))

series135.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

53.0ms	(pow.f64 (+.f64 x (+.f64 x y)) 3)
50.0ms	(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
32.0ms	(+.f64 x (+.f64 x y))

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5314	1006

prune53.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	0	1
Picked	1	0	1
Done	3	0	3
Total	84	1	85

Merged error: 0b

Counts

85 → 1

Compiler

Compiled 946 to 359 computations (62.1% saved)

regimes61.0ms (2.1%)

Compiler: Compiled 413 to 259 computations (37.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample436.0ms (14.7%)

Algorithm

1×

intervals

Results

135.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 152 to 101 computations (33.6% saved)

Details

analyze50.0ms (1.7%)

sample10.0ms (0.3%)

simplify170.0ms (5.7%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series35.0ms (1.2%)

simplify66.0ms (2.2%)

prune12.0ms (0.4%)

localize7.0ms (0.2%)

rewrite54.0ms (1.8%)

series1.2s (39%)

simplify89.0ms (3%)

prune103.0ms (3.5%)

localize6.0ms (0.2%)

rewrite55.0ms (1.9%)

series178.0ms (6%)

simplify87.0ms (2.9%)

prune79.0ms (2.7%)

localize7.0ms (0.2%)

rewrite27.0ms (0.9%)

series135.0ms (4.6%)

simplify75.0ms (2.5%)

prune53.0ms (1.8%)

regimes61.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample436.0ms (14.7%)

Profiling