Details

analyze4.0ms (0%)

Algorithm

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 7 to 6 computations (14.3% saved)

sample14.0ms (0.1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 16 to 16 computations (0% saved)

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

3 → 3

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	3	3
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

29.9b

Counts

6 → 3

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))
29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_139`
3×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
1×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `pow1/2_binary64_158` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

2 calls:

4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
0.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

series34.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

Compiler

Compiled 28 to 28 computations (0% saved)

simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

prune43.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	5	10	15
Fresh	0	2	2
Picked	0	0	0
Done	0	1	1
Total	5	13	18

Error

0.2b

Counts

18 → 13

Compiler

Compiled 196 to 157 computations (19.9% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))
0.5b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series32.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 24 to 24 computations (0% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5010	211

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))
0.5b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series34.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 30 to 30 computations (0% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5010	211

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))
29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_139`
3×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
1×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `pow1/2_binary64_158` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

2 calls:

4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
0.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

Compiler

Compiled 40 to 40 computations (0% saved)

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))
29.4b	(sqrt.f64 (.f64 (.f64 2 x) x))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_139`
3×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
1×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `pow1/2_binary64_158` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

2 calls:

4.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))
0.0ms	(sqrt.f64 (.f64 (.f64 2 x) x))

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(sqrt.f64 (*.f64 (*.f64 2 x) x))

Compiler

Compiled 40 to 40 computations (0% saved)

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4798	123
1	4798	123

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

42.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3))
29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3)
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3)
29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))
42.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_139`
14×	`cbrt-prod_binary64_109`
9×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
6×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
5×	`sqrt-prod_binary64_94` `pow-pow_binary64_150`
4×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
3×	`add-log-exp_binary64_117` `pow-unpow_binary64_155`
2×	`cube-mult_binary64_108` `sqr-pow_binary64_50` `pow1/2_binary64_158` `unpow3_binary64_144`
1×	`rem-cube-cbrt_binary64_101` `sqrt-pow2_binary64_97` `rem-cbrt-cube_binary64_102` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `pow1/3_binary64_160`

Counts

3 → 65

Calls

6 calls:

5.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3)
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3))
0.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3)
0.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3))

series112.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

53.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3)
29.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
29.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 3))

Compiler

Compiled 132 to 132 computations (0% saved)

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4949	823
1	4949	823

prune703.0ms (3.7%)

Pruning

71 alts after pruning (65 fresh and 6 done)

	Pruned	Kept	Total
New	94	60	154
Fresh	2	5	7
Picked	0	0	0
Done	0	6	6
Total	96	71	167

Error

0.0b

Counts

167 → 71

Compiler

Compiled 1745 to 1437 computations (17.7% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.1b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_116` `pow1_binary64_139`
10×	`associate-r_binary64_18`
9×	`add-cbrt-cube_binary64_114` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
7×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19`
3×	`sqrt-prod_binary64_94`
2×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
1×	`unswap-sqr_binary64_46`

Counts

2 → 46

Calls

4 calls:

13.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
10.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series168.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

134.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
34.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

Compiler

Compiled 96 to 96 computations (0% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4908	577
1	4908	577

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))
0.5b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 36 to 36 computations (0% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5010	211

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

3.0b	(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
0.5b	(*.f64 x (sqrt.f64 2))
0.5b	(*.f64 x (sqrt.f64 2))
3.0b	(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_100`
7×	`pow1_binary64_139`
6×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-un-lft-identity_binary64_78`
5×	`exp-prod_binary64_130`
4×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-exp-log_binary64_116`
3×	`associate-l_binary64_19`
2×	`add-log-exp_binary64_117` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `log-pow_binary64_167`
1×	`*-commutative_binary64_9` `exp-sum_binary64_124` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `rem-exp-log_binary64_118` `log-prod_binary64_164`

Counts

2 → 36

Calls

4 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
4.0ms	(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
0.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))

series127.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
31.0ms	(*.f64 x (sqrt.f64 2))

Compiler

Compiled 102 to 102 computations (0% saved)

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5710	342

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))
5.7b	(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 2 x)))))
0.0b	(log.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
0.0b	(log.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
5.7b	(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 2 x)))))
29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_139`
10×	`log-pow_binary64_167`
9×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
8×	`log-prod_binary64_164` `exp-prod_binary64_130`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`exp-sum_binary64_124` `add-exp-log_binary64_116`
3×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-log-exp_binary64_117` `pow1/2_binary64_158`
1×	`rem-exp-log_binary64_118` `rem-log-exp_binary64_119`

Counts

3 → 49

Calls

6 calls:

6.0ms	(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 2 x)))))
4.0ms	(log.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
0.0ms	(log.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
0.0ms	(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 2 x)))))

series195.0ms (1%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(exp.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 2 x)))))
77.0ms	(log.f64 (sqrt.f64 (.f64 x (.f64 2 x))))
28.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

Compiler

Compiled 176 to 176 computations (0% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4966	605
1	4966	605

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

29.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
10.9b	(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3))
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3)
0.1b	(pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3)
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3)
10.9b	(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3))
29.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
42.0b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3)))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

105×	`cbrt-prod_binary64_109`
48×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
22×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
17×	`pow1_binary64_139`
11×	`sqrt-prod_binary64_94`
7×	`cube-mult_binary64_108` `sqr-pow_binary64_50` `unpow3_binary64_144`
6×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
5×	`add-cbrt-cube_binary64_114` `pow-pow_binary64_150` `add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117`
3×	`pow-unpow_binary64_155`
2×	`pow1/3_binary64_160` `pow1/2_binary64_158`
1×	`rem-cube-cbrt_binary64_101` `sqrt-pow2_binary64_97` `rem-cbrt-cube_binary64_102` `pow-exp_binary64_146` `pow-to-exp_binary64_147`

Counts

4 → 130

Calls

8 calls:

8.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3)))
6.0ms	(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3))
6.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3)
4.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
0.0ms	(pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3)

series187.0ms (1%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3))
56.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3)
33.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 3) 3)))
28.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))

Compiler

Compiled 226 to 226 computations (0% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	2053
1	4954	2053

prune2.2s (11.6%)

Pruning

151 alts after pruning (140 fresh and 11 done)

	Pruned	Kept	Total
New	230	89	319
Fresh	9	51	60
Picked	0	0	0
Done	0	11	11
Total	239	151	390

Error

0.0b

Counts

390 → 151

Compiler

Compiled 4254 to 3666 computations (13.8% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.4b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.2b	(.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
0.1b	(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
0.1b	(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
0.2b	(.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
0.4b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite57.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_116`
48×	`prod-exp_binary64_127`
27×	`associate-r_binary64_18`
23×	`cbrt-prod_binary64_109`
22×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111`
17×	`pow1_binary64_139`
12×	`unpow-prod-down_binary64_157` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`pow-prod-down_binary64_149`
7×	`sqrt-prod_binary64_94`
6×	`unswap-sqr_binary64_46`
5×	`associate-l_binary64_19` `pow-exp_binary64_146` `pow-to-exp_binary64_147`
3×	`*-commutative_binary64_9` `add-log-exp_binary64_117`
2×	`unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

3 → 97

Calls

6 calls:

20.0ms	(.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
14.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
11.0ms	(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
0.0ms	(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
0.0ms	(.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

series333.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

162.0ms

(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

134.0ms

(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))

37.0ms

(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

Compiler

Compiled 240 to 240 computations (0% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5168	1349

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))
0.5b	(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`unswap-sqr_binary64_46`
1×	`*-commutative_binary64_9` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 x (sqrt.f64 2))
0.0ms	(*.f64 x (sqrt.f64 2))

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 42 to 42 computations (0% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5010	211

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

42.0b	(cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)))
29.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
10.9b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9))
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)
0.2b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)
10.9b	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9))
29.4b	(sqrt.f64 (.f64 x (.f64 x 2)))
42.0b	(cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-prod_binary64_109`
17×	`pow1_binary64_139`
12×	`unpow-prod-down_binary64_157`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`sqrt-pow1_binary64_96` `pow-prod-down_binary64_149`
5×	`pow-pow_binary64_150` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-log-exp_binary64_117`
3×	`sqr-pow_binary64_50` `pow-unpow_binary64_155`
2×	`pow1/3_binary64_160` `pow1/2_binary64_158`
1×	`sqrt-pow2_binary64_97` `pow-exp_binary64_146` `pow-to-exp_binary64_147`

Counts

4 → 70

Calls

8 calls:

6.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)))
5.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)
4.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9))
0.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)

series200.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)
67.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9))
29.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 x 2))) 9)))
27.0ms	(sqrt.f64 (.f64 x (.f64 x 2)))

Compiler

Compiled 202 to 202 computations (0% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4822	1337
1	4822	1337

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))
5.7b	(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1)))
0.0b	(log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1))
0.0b	(log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1))
5.7b	(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1)))
29.4b	(sqrt.f64 (.f64 x (.f64 2 x)))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`log-prod_binary64_164`
9×	`pow1_binary64_139`
8×	`add-sqr-sqrt_binary64_100` `exp-sum_binary64_124` `unpow-prod-down_binary64_157` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-exp-log_binary64_116`
4×	`exp-prod_binary64_130`
3×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `add-log-exp_binary64_117` `sqrt-pow1_binary64_96` `rem-log-exp_binary64_119` `pow-prod-down_binary64_149`
2×	`sqr-pow_binary64_50` `log-pow_binary64_167`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `rem-exp-log_binary64_118` `pow1/2_binary64_158`

Counts

3 → 51

Calls

6 calls:

4.0ms	(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1)))
4.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))
3.0ms	(log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1))
0.0ms	(log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1))
0.0ms	(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1)))

series195.0ms (1%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(exp.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1)))
70.0ms	(log.f64 (pow.f64 (sqrt.f64 (.f64 x (.f64 2 x))) 1))
32.0ms	(sqrt.f64 (.f64 x (.f64 2 x)))

Compiler

Compiled 188 to 188 computations (0% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4840	721
1	4840	721

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (sqrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x)))
0.2b	(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 2)))
0.1b	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))
0.1b	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))
0.2b	(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 2)))
0.2b	(.f64 (sqrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x)))

rewrite44.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_100` `add-exp-log_binary64_116`
22×	`prod-exp_binary64_127`
21×	`associate-l_binary64_19`
20×	`sqrt-prod_binary64_94`
16×	`add-cbrt-cube_binary64_114` `associate-r_binary64_18` `cbrt-prod_binary64_109`
15×	`unpow-prod-down_binary64_157`
14×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`unswap-sqr_binary64_46`
10×	`cbrt-unprod_binary64_111` `pow1_binary64_139`
4×	`pow-prod-down_binary64_149`
3×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `add-log-exp_binary64_117` `unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

3 → 94

Calls

6 calls:

14.0ms	(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 2)))
10.0ms	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))
10.0ms	(.f64 (sqrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x)))
0.0ms	(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))
0.0ms	(.f64 (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 2)))

series189.0ms (1%)

Counts

3 → 9

Calls

3 calls:

110.0ms

(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x)))

50.0ms

(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))

29.0ms

(*.f64 (*.f64 (sqrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 2)))

Compiler

Compiled 265 to 257 computations (3% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5178	1452

prune4.8s (25.7%)

Pruning

256 alts after pruning (241 fresh and 15 done)

	Pruned	Kept	Total
New	251	125	376
Fresh	19	116	135
Picked	0	0	0
Done	1	15	16
Total	271	256	527

Error

Counts

527 → 256

Compiler

Compiled 3930 to 3321 computations (15.5% saved)

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	1467	9684
1	1467	9684

regimes631.0ms (3.4%)

Compiler: Compiled 4077 to 3694 computations (9.4% saved)

bsearch22.0ms (0.1%)

Steps

Iters	Range		Point
9	-1.0316202792135276e-305	3.248816851435269e-305	-3.1772341154775e-311

Compiler

Compiled 1 to 1 computations (0% saved)

regimes243.0ms (1.3%)

Compiler: Compiled 1239 to 1132 computations (8.6% saved)

bsearch17.0ms (0.1%)

Steps

Iters	Range		Point
9	-1.0316202792135276e-305	3.248816851435269e-305	-3.1772341154775e-311

Compiler

Compiled 1 to 1 computations (0% saved)

regimes94.0ms (0.5%)

Compiler: Compiled 383 to 353 computations (7.8% saved)

bsearch14.0ms (0.1%)

Steps

Iters	Range		Point
9	-1.0316202792135276e-305	3.248816851435269e-305	-3.1772341154775e-311

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.1%)

Compiler: Compiled 26 to 26 computations (0% saved)

bsearch13.0ms (0.1%)

Steps

Iters	Range		Point
9	-1.0316202792135276e-305	3.248816851435269e-305	-3.1772341154775e-311

Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.1%)

Compiler: Compiled 8 to 10 computations (-25% saved)

bsearch13.0ms (0.1%)

Steps

Iters	Range		Point
10	-2.745612790798169e-194	-2.0721744500342595e-212	-3.559042902657881e-206

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0%)

Accuracy

Total 0.4b remaining (97.3%)

Threshold costs 0.4b (97.3%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch7.0ms (0%)

Compiler: Compiled 86 to 76 computations (11.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	118	135
1	118	135

end0.0ms (0%)

sample5.9s (31.4%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 4254 to 3851 computations (9.5% saved)

Pareto

0.7386712403738633