Details

analyze144.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.1b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

26.9b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

4×	`pow1_binary64_139`
2×	`sqrt-pow1_binary64_96` `associate-*r/_binary64_20` `sqrt-div_binary64_95`
1×	`pow1/2_binary64_158` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `pow-prod-down_binary64_149` `flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 152 to 46 computations (69.7% saved)

series48.0ms (1.1%)

Error

0.2b

Counts

1 → 3

Calls

1 calls:

44.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 38 to 37 computations (2.6% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5009	140

prune21.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Error

0.1b

Counts

17 → 7

Compiler

Compiled 179 to 79 computations (55.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
0.6b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite182.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

84×	`sqrt-pow1_binary64_96`
71×	`pow1_binary64_139`
33×	`sqrt-prod_binary64_94`
32×	`sqrt-div_binary64_95`
28×	`add-sqr-sqrt_binary64_100`
25×	`pow-prod-down_binary64_149`
22×	`pow1/2_binary64_158`
20×	`associate-*r/_binary64_20`
14×	`pow-prod-up_binary64_148`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`flip3-+_binary64_81` `flip-+_binary64_52` `swap-sqr_binary64_45`
8×	`pow-sqr_binary64_51`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `unswap-sqr_binary64_46`
3×	`rem-sqrt-square_binary64_91`
2×	`associate-*l/_binary64_21`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `sqrt-unprod_binary64_98` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `*-commutative_binary64_9`

Counts

4 → 125

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
6.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 2197 to 424 computations (80.7% saved)

series179.0ms (4.2%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
44.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
44.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
37.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))

Compiler

Compiled 369 to 284 computations (23% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4704	1347
1	4704	1347

prune103.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	136	8	144

Error

0.1b

Counts

144 → 8

Compiler

Compiled 1239 to 346 computations (72.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3)))
19.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite199.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

52×	`cbrt-prod_binary64_109`
43×	`add-sqr-sqrt_binary64_100`
38×	`sqrt-prod_binary64_94`
32×	`sqrt-div_binary64_95`
23×	`associate-r_binary64_18`
20×	`associate-*r/_binary64_20`
18×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
17×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
14×	`unswap-sqr_binary64_46`
12×	`pow1_binary64_139`
9×	`flip3-+_binary64_81` `flip-+_binary64_52`
8×	`cube-div_binary64_107` `cbrt-div_binary64_110`
7×	`associate-l_binary64_19`
6×	`add-exp-log_binary64_116`
5×	`add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `sqrt-pow1_binary64_96` `sqr-pow_binary64_50` `frac-times_binary64_88`
3×	`pow-prod-down_binary64_149`
2×	`pow1/2_binary64_158` `unpow3_binary64_144` `cube-mult_binary64_108` `associate-*l/_binary64_21`
1×	`pow1/3_binary64_160` `rem-cbrt-cube_binary64_102` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 120

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
4.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3))

Compiler

Compiled 2677 to 770 computations (71.2% saved)

series173.0ms (4.1%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3)))
44.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
41.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
33.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) 3))

Compiler

Compiled 417 to 332 computations (20.4% saved)

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4497	2135
1	4497	2135

prune117.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	132	8	140

Error

0.1b

Counts

140 → 8

Compiler

Compiled 1651 to 528 computations (68% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
0.5b	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))
26.9b	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite88.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_139`
8×	`associate-*r/_binary64_20` `sqrt-div_binary64_95` `cbrt-prod_binary64_109`
6×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-pow1_binary64_96` `flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94` `cbrt-div_binary64_110`
2×	`pow1/2_binary64_158` `pow-prod-down_binary64_149` `pow1/3_binary64_160`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
5.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 1208 to 287 computations (76.2% saved)

series441.0ms (10.4%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
162.0ms	(cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
46.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))
46.0ms	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 618 to 470 computations (23.9% saved)

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4793	728
1	4793	728

prune63.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	66	8	74

Error

0.1b

Counts

74 → 8

Compiler

Compiled 1063 to 313 computations (70.6% saved)

regimes1.5s (36.2%)

Accuracy

Total 0.2b remaining (61.7%)

Threshold costs 0.2b (61.7%)

Compiler

Compiled 11487 to 6612 computations (42.4% saved)

bsearch26.0ms (0.6%)

Steps

Iters	Range		Point
10	-1.642559034991286e-301	1.2742663958523706e-304	-2.2234222586826e-310

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	25
1	39	25

end2.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

sample542.0ms (12.7%)

Algorithm

1×

intervals

Results

193.0ms

8000×

body

128

valid

Compiler

Compiled 113 to 77 computations (31.9% saved)

Details

analyze144.0ms (3.4%)

sample17.0ms (0.4%)

simplify6.0ms (0.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite22.0ms (0.5%)

series48.0ms (1.1%)

simplify71.0ms (1.7%)

prune21.0ms (0.5%)

localize7.0ms (0.2%)

rewrite182.0ms (4.3%)

series179.0ms (4.2%)

simplify82.0ms (1.9%)

prune103.0ms (2.4%)

localize10.0ms (0.2%)

rewrite199.0ms (4.7%)

series173.0ms (4.1%)

simplify66.0ms (1.5%)

prune117.0ms (2.8%)

localize9.0ms (0.2%)

rewrite88.0ms (2.1%)

series441.0ms (10.4%)

simplify85.0ms (2%)

prune63.0ms (1.5%)

regimes1.5s (36.2%)

bsearch26.0ms (0.6%)

simplify3.0ms (0.1%)

end2.0ms (0%)

sample542.0ms (12.7%)

Profiling