Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample9.0ms (0.1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify242.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4708	4
1	4708	4

prune3.0ms (0%)

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

Counts

2 → 2

Compiler

Compiled 3 to 3 computations (0% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x x) x)
0.1b	(.f64 (.f64 x x) x)

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_6277`
9×	`add-cbrt-cube_binary64_6252`
6×	`pow-plus_binary64_6279` `pow-prod-up_binary64_6286` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `add-sqr-sqrt_binary64_6238`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow2_binary64_6297` `pow-sqr_binary64_6189`
1×	`unswap-sqr_binary64_6184` `rem-3cbrt-lft_binary64_6241` `associate-l_binary64_6157` `pow3_binary64_6299` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 29

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) x)
0.0ms	(.f64 (.f64 x x) x)

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 (*.f64 x x) x)

Compiler

Compiled 18 to 18 computations (0% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4897	115
1	4897	115

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune36.0ms (0.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	23	9	32
Fresh	0	0	0
Picked	0	0	0
Done	0	2	2
Total	23	11	34

Error

Counts

34 → 11

Compiler

Compiled 142 to 94 computations (33.8% saved)

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x x) x)
0.1b	(.f64 (.f64 x x) x)

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_6277`
9×	`add-cbrt-cube_binary64_6252`
6×	`pow-plus_binary64_6279` `pow-prod-up_binary64_6286` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `add-sqr-sqrt_binary64_6238`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow2_binary64_6297` `pow-sqr_binary64_6189`
1×	`unswap-sqr_binary64_6184` `rem-3cbrt-lft_binary64_6241` `associate-l_binary64_6157` `pow3_binary64_6299` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 29

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) x)
0.0ms	(.f64 (.f64 x x) x)

series28.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 (*.f64 x x) x)

Compiler

Compiled 30 to 30 computations (0% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4897	115
1	4897	115

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

21.8b	(cbrt.f64 (pow.f64 x 9))
21.8b	(cbrt.f64 (pow.f64 x 9))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_6247`
3×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `unpow-prod-down_binary64_6295`
1×	`sqr-pow_binary64_6188` `pow1/3_binary64_6298` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `pow1_binary64_6277` `add-exp-log_binary64_6254`

Counts

1 → 15

Calls

2 calls:

2.0ms	(cbrt.f64 (pow.f64 x 9))
0.0ms	(cbrt.f64 (pow.f64 x 9))

series37.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(cbrt.f64 (pow.f64 x 9))

Compiler

Compiled 28 to 28 computations (0% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4793	188
1	4793	188

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
0.2b	(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_6238`
18×	`unpow-prod-down_binary64_6295`
13×	`add-exp-log_binary64_6254`
10×	`sqr-pow_binary64_6188`
9×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `unswap-sqr_binary64_6184` `prod-exp_binary64_6265`
7×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157`
6×	`pow-to-exp_binary64_6285` `pow-exp_binary64_6284`
3×	`add-cbrt-cube_binary64_6252`
1×	`pow-prod-down_binary64_6287` `pow2_binary64_6297` `pow-sqr_binary64_6189` `cbrt-unprod_binary64_6249` `pow-prod-up_binary64_6286` `*-commutative_binary64_6147` `add-log-exp_binary64_6255` `pow1_binary64_6277`

Counts

1 → 52

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
0.0ms	(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))

series33.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))

Compiler

Compiled 18 to 18 computations (0% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4926	446
1	4926	446

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 x)
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.2b	(.f64 (.f64 (.f64 x x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
0.2b	(.f64 (.f64 x x) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 x x) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))

series325.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
68.0ms	(cbrt.f64 x)

Compiler

Compiled 346 to 238 computations (31.2% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune836.0ms (4.9%)

Pruning

70 alts after pruning (64 fresh and 6 done)

	Pruned	Kept	Total
New	130	60	190
Fresh	0	4	4
Picked	0	0	0
Done	1	6	7
Total	131	70	201

Error

Counts

201 → 70

Compiler

Compiled 2136 to 1163 computations (45.6% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x x) x)
0.1b	(.f64 (.f64 x x) x)

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_6277`
9×	`add-cbrt-cube_binary64_6252`
6×	`pow-plus_binary64_6279` `pow-prod-up_binary64_6286` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `add-sqr-sqrt_binary64_6238`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow2_binary64_6297` `pow-sqr_binary64_6189`
1×	`unswap-sqr_binary64_6184` `rem-3cbrt-lft_binary64_6241` `associate-l_binary64_6157` `pow3_binary64_6299` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 29

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) x)
0.0ms	(.f64 (.f64 x x) x)

series29.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 (*.f64 x x) x)

Compiler

Compiled 42 to 42 computations (0% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4897	115
1	4897	115

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.3b	(cbrt.f64 (pow.f64 x 3/2))
0.1b	(*.f64 (pow.f64 x 5/2) (cbrt.f64 (pow.f64 x 3/2)))
0.1b	(*.f64 (pow.f64 x 5/2) (cbrt.f64 (pow.f64 x 3/2)))
10.3b	(cbrt.f64 (pow.f64 x 3/2))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_6238`
23×	`cbrt-prod_binary64_6247`
16×	`unpow-prod-down_binary64_6295`
12×	`unswap-sqr_binary64_6184`
10×	`sqr-pow_binary64_6188` `associate-r_binary64_6156`
9×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
7×	`associate-l_binary64_6157` `add-exp-log_binary64_6254`
3×	`prod-exp_binary64_6265` `add-cbrt-cube_binary64_6252`
2×	`add-log-exp_binary64_6255` `pow1_binary64_6277`
1×	`pow1/3_binary64_6298` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

2 → 56

Calls

4 calls:

8.0ms	(*.f64 (pow.f64 x 5/2) (cbrt.f64 (pow.f64 x 3/2)))
2.0ms	(cbrt.f64 (pow.f64 x 3/2))
0.0ms	(*.f64 (pow.f64 x 5/2) (cbrt.f64 (pow.f64 x 3/2)))
0.0ms	(cbrt.f64 (pow.f64 x 3/2))

series42.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 (pow.f64 x 5/2) (cbrt.f64 (pow.f64 x 3/2)))
12.0ms	(cbrt.f64 (pow.f64 x 3/2))

Compiler

Compiled 88 to 78 computations (11.4% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4902	728
1	4902	728

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

3.0b	(pow.f64 x 2/3)
0.6b	(cbrt.f64 x)
0.1b	(.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 x))
0.1b	(.f64 (.f64 x x) (*.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2)))
0.1b	(.f64 (.f64 x x) (*.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2)))
0.1b	(.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
3.0b	(pow.f64 x 2/3)

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

139×	`add-exp-log_binary64_6254`
117×	`prod-exp_binary64_6265`
29×	`add-cbrt-cube_binary64_6252`
25×	`pow-to-exp_binary64_6285` `pow-exp_binary64_6284`
21×	`cbrt-unprod_binary64_6249`
19×	`pow1_binary64_6277`
9×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow-prod-down_binary64_6287` `add-sqr-sqrt_binary64_6238`
7×	`associate-r_binary64_6156`
6×	`cbrt-prod_binary64_6247`
4×	`add-log-exp_binary64_6255`
3×	`pow-unpow_binary64_6293` `unpow-prod-down_binary64_6295`
2×	`associate-l_binary64_6157` `*-commutative_binary64_6147`
1×	`sqr-pow_binary64_6188` `pow1/3_binary64_6298` `pow-pow_binary64_6288`

Counts

4 → 108

Calls

8 calls:

17.0ms	(.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 x))
10.0ms	(.f64 (.f64 x x) (*.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2)))
2.0ms	(pow.f64 x 2/3)
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 x x) (*.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2)))

series369.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(.f64 (.f64 x x) (*.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2)))
84.0ms	(cbrt.f64 x)
71.0ms	(pow.f64 x 2/3)
66.0ms	(.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 2/3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 x))

Compiler

Compiled 348 to 306 computations (12.1% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4912	676
1	4912	676

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 x))
0.2b	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
0.2b	(.f64 (.f64 x x) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.1b	(.f64 (.f64 (.f64 x x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
0.3b	(cbrt.f64 (sqrt.f64 x))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_6247`
24×	`add-sqr-sqrt_binary64_6238`
16×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
3×	`sqrt-prod_binary64_6232`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 76

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 (sqrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 (.f64 x x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))

series297.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
76.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 x)
50.0ms	(cbrt.f64 (sqrt.f64 x))

Compiler

Compiled 462 to 306 computations (33.8% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4906	618
1	4906	618

prune2.7s (15.6%)

Pruning

155 alts after pruning (144 fresh and 11 done)

	Pruned	Kept	Total
New	213	89	302
Fresh	4	55	59
Picked	0	0	0
Done	0	11	11
Total	217	155	372

Error

Counts

372 → 155

Compiler

Compiled 4814 to 2729 computations (43.3% saved)

localize6.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x x) x)
0.1b	(.f64 (.f64 x x) x)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_6277`
9×	`add-cbrt-cube_binary64_6252`
6×	`pow-plus_binary64_6279` `pow-prod-up_binary64_6286` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `add-sqr-sqrt_binary64_6238`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `pow2_binary64_6297` `pow-sqr_binary64_6189`
1×	`unswap-sqr_binary64_6184` `rem-3cbrt-lft_binary64_6241` `associate-l_binary64_6157` `pow3_binary64_6299` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 29

Calls

2 calls:

8.0ms	(.f64 (.f64 x x) x)
0.0ms	(.f64 (.f64 x x) x)

series27.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 (*.f64 x x) x)

Compiler

Compiled 54 to 54 computations (0% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4897	115
1	4897	115

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

5.9b	(log.f64 (exp.f64 (sqrt.f64 x)))
0.0b	(*.f64 (pow.f64 x 5/2) (log.f64 (exp.f64 (sqrt.f64 x))))
0.0b	(exp.f64 (sqrt.f64 x))
0.0b	(exp.f64 (sqrt.f64 x))
0.0b	(*.f64 (pow.f64 x 5/2) (log.f64 (exp.f64 (sqrt.f64 x))))
5.9b	(log.f64 (exp.f64 (sqrt.f64 x)))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_6238`
18×	`exp-prod_binary64_6268`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
14×	`log-pow_binary64_6305`
10×	`associate-r_binary64_6156`
9×	`sqrt-prod_binary64_6232` `log-prod_binary64_6302`
8×	`add-exp-log_binary64_6254`
7×	`associate-l_binary64_6157`
5×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277`
4×	`add-log-exp_binary64_6255` `unpow-prod-down_binary64_6295`
3×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `unswap-sqr_binary64_6184` `prod-exp_binary64_6265`
2×	`sqr-pow_binary64_6188`
1×	`rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

3 → 70

Calls

6 calls:

8.0ms	(*.f64 (pow.f64 x 5/2) (log.f64 (exp.f64 (sqrt.f64 x))))
2.0ms	(log.f64 (exp.f64 (sqrt.f64 x)))
2.0ms	(exp.f64 (sqrt.f64 x))
0.0ms	(*.f64 (pow.f64 x 5/2) (log.f64 (exp.f64 (sqrt.f64 x))))
0.0ms	(exp.f64 (sqrt.f64 x))

series80.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(*.f64 (pow.f64 x 5/2) (log.f64 (exp.f64 (sqrt.f64 x))))
17.0ms	(log.f64 (exp.f64 (sqrt.f64 x)))
13.0ms	(exp.f64 (sqrt.f64 x))

Compiler

Compiled 216 to 179 computations (17.1% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4865	677
1	4865	677

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
0.1b	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
0.0b	(sqrt.f64 (sqrt.f64 x))
0.0b	(sqrt.f64 (sqrt.f64 x))
0.0b	(sqrt.f64 (sqrt.f64 x))
0.1b	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
0.1b	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
0.2b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-exp-log_binary64_6254`
48×	`add-sqr-sqrt_binary64_6238`
46×	`prod-exp_binary64_6265` `sqrt-prod_binary64_6232`
34×	`sqrt-pow1_binary64_6234`
25×	`pow-prod-up_binary64_6286`
23×	`pow1_binary64_6277`
20×	`add-cbrt-cube_binary64_6252`
19×	`associate-l_binary64_6157`
18×	`unswap-sqr_binary64_6184`
16×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
15×	`associate-r_binary64_6156`
12×	`pow1/2_binary64_6296` `unpow-prod-down_binary64_6295`
10×	`pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `cbrt-unprod_binary64_6249`
8×	`sqr-pow_binary64_6188`
4×	`add-log-exp_binary64_6255`
3×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `*-commutative_binary64_6147`
2×	`rem-sqrt-square_binary64_6229`
1×	`pow-plus_binary64_6279` `swap-sqr_binary64_6183` `pow2_binary64_6297`

Counts

4 → 141

Calls

8 calls:

13.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)))
8.0ms	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
8.0ms	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
2.0ms	(sqrt.f64 (sqrt.f64 x))
0.0ms	(sqrt.f64 (sqrt.f64 x))

series138.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt.f64 (sqrt.f64 x))
32.0ms	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4)))
28.0ms	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))
28.0ms	(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 x 5/4))

Compiler

Compiled 389 to 333 computations (14.4% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5068	1670

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

21.8b	(cbrt.f64 (pow.f64 x 9))
21.8b	(cbrt.f64 (pow.f64 x 9))
0.1b	(*.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9)))
0.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 9))))
21.8b	(cbrt.f64 (pow.f64 x 9))
21.8b	(cbrt.f64 (pow.f64 x 9))
23.4b	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9))))
28.7b	(cbrt.f64 (cbrt.f64 (pow.f64 x 9)))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_6247`
11×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
9×	`unpow-prod-down_binary64_6295`
4×	`pow1/3_binary64_6298` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`sqr-pow_binary64_6188`

Counts

4 → 57

Calls

8 calls:

6.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9))))
3.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 x 9)))
2.0ms	(cbrt.f64 (pow.f64 x 9))
2.0ms	(cbrt.f64 (pow.f64 x 9))
0.0ms	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 9))))

series189.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 x 9)) (cbrt.f64 (pow.f64 x 9))))
49.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 x 9)))
38.0ms	(cbrt.f64 (pow.f64 x 9))
36.0ms	(cbrt.f64 (pow.f64 x 9))

Compiler

Compiled 354 to 312 computations (11.9% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4989	762
1	4989	762

prune4.6s (26.7%)

Pruning

228 alts after pruning (214 fresh and 14 done)

	Pruned	Kept	Total
New	237	96	333
Fresh	21	118	139
Picked	0	0	0
Done	2	14	16
Total	260	228	488

Error

Counts

488 → 228

Compiler

Compiled 3231 to 2018 computations (37.5% saved)

simplify156.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	1338	10428
1	1338	10428

regimes552.0ms (3.2%)

Compiler: Compiled 4412 to 3204 computations (27.4% saved)

bsearch0.0ms (0%)

regimes12.0ms (0.1%)

Compiler: Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

regimes7.0ms (0%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch2.0ms (0%)

Compiler: Compiled 10 to 10 computations (0% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	13
1	9	13

end0.0ms (0%)

sample5.0s (29.2%)

Algorithm

1×

intervals

Results

141.0ms

8000×

body

128

valid

Compiler

Compiled 4446 to 3237 computations (27.2% saved)

Pareto

0.9583636566352011