Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune2.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_6898`
26×	`add-sqr-sqrt_binary64_6920`
21×	`distribute-lft-out_binary64_6849`
18×	`times-frac_binary64_6904`
15×	`add-cube-cbrt_binary64_6933`
14×	`sqrt-prod_binary64_6914`
6×	`associate-/r*_binary64_6842`
5×	`add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934`
4×	`pow1_binary64_6959`
3×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `associate-/l*_binary64_6843`
2×	`associate-/r/_binary64_6844` `sqrt-div_binary64_6915`
1×	`rem-sqrt-square_binary64_6911` `+-commutative_binary64_6828` `sqrt-pow1_binary64_6916` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `clear-num_binary64_6897` `sum-log_binary64_6989` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `pow1/2_binary64_6978`

Counts

3 → 71

Calls

6 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

series77.0ms (0.1%)

Counts

3 → 18

Calls

3 calls:

37.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
21.0ms	(sqrt.f64 (+.f64 x 1))
18.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 276 to 234 computations (15.2% saved)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4923	1202
1	4923	1202

prune371.0ms (0.3%)

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	40	49	89
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	40	50	90

Error

0.0b

Counts

90 → 50

Compiler

Compiled 1585 to 1273 computations (19.7% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
0.0b	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))

rewrite33.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64_6920`
66×	`*-un-lft-identity_binary64_6898`
60×	`times-frac_binary64_6904`
38×	`add-cube-cbrt_binary64_6933`
24×	`difference-of-squares_binary64_6867`
21×	`distribute-rgt-neg-in_binary64_6856` `distribute-lft-neg-in_binary64_6855`
20×	`sqrt-prod_binary64_6914`
12×	`distribute-lft-out--_binary64_6850`
10×	`associate-/l*_binary64_6843`
7×	`cancel-sign-sub-inv_binary64_6864` `neg-mul-1_binary64_6894`
6×	`associate-/r*_binary64_6842`
5×	`add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934`
4×	`pow1_binary64_6959`
2×	`distribute-lft-out_binary64_6849` `flip--_binary64_6873` `associate-/r/_binary64_6844` `sqrt-div_binary64_6915` `flip3--_binary64_6902`
1×	`sub-neg_binary64_6891` `flip-+_binary64_6872` `rem-sqrt-square_binary64_6911` `div-sub_binary64_6903` `distribute-frac-neg_binary64_6861` `sqrt-pow1_binary64_6916` `div-exp_binary64_6949` `flip3-+_binary64_6901` `cbrt-undiv_binary64_6932` `clear-num_binary64_6897` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `diff-log_binary64_6990` `neg-sub0_binary64_6893` `pow1/2_binary64_6978`

Counts

3 → 129

Calls

6 calls:

11.0ms	(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
7.0ms	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))

series80.0ms (0.1%)

Counts

3 → 18

Calls

3 calls:

41.0ms	(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
22.0ms	(-.f64 -1 (sqrt.f64 (+.f64 x 1)))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 297 to 255 computations (14.1% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4935	3026
1	4935	3026

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.1b	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.1b	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite45.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64_6898`
51×	`add-sqr-sqrt_binary64_6920`
38×	`times-frac_binary64_6904`
33×	`distribute-lft-out_binary64_6849`
27×	`add-cube-cbrt_binary64_6933`
24×	`associate-r_binary64_6838`
20×	`sqrt-prod_binary64_6914`
17×	`add-exp-log_binary64_6936`
11×	`add-cbrt-cube_binary64_6934`
8×	`pow1_binary64_6959`
6×	`add-log-exp_binary64_6937` `associate-/r*_binary64_6842`
4×	`flip-+_binary64_6872` `prod-exp_binary64_6947` `div-exp_binary64_6949` `flip3-+_binary64_6901` `associate-/r/_binary64_6844`
3×	`unswap-sqr_binary64_6866` `associate-/l_binary64_6843` `associate-l*_binary64_6839`
2×	`1-exp_binary64_6942` `cbrt-undiv_binary64_6932` `rec-exp_binary64_6948` `cbrt-unprod_binary64_6931` `sqrt-div_binary64_6915` `div-inv_binary64_6895`
1×	`un-div-inv_binary64_6896` `rem-sqrt-square_binary64_6911` `pow-flip_binary64_6972` `+-commutative_binary64_6828` `sqrt-pow1_binary64_6916` `associate-r/_binary64_6840` `-commutative_binary64_6829` `clear-num_binary64_6897` `sum-log_binary64_6989` `pow-prod-down_binary64_6969` `frac-2neg_binary64_6909` `inv-pow_binary64_6983` `pow1/2_binary64_6978`

Counts

4 → 122

Calls

8 calls:

16.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))

series108.0ms (0.1%)

Counts

4 → 24

Calls

4 calls:

41.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
30.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
19.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 422 to 362 computations (14.2% saved)

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5598	1871

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
0.2b	(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)
0.2b	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
7.1b	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))

rewrite55.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

113×	`*-un-lft-identity_binary64_6898`
90×	`cbrt-prod_binary64_6929`
74×	`add-sqr-sqrt_binary64_6920`
63×	`times-frac_binary64_6904`
52×	`distribute-lft-out_binary64_6849`
48×	`add-cube-cbrt_binary64_6933`
36×	`cube-prod_binary64_6926` `unpow-prod-down_binary64_6977`
26×	`sqrt-prod_binary64_6914`
21×	`associate-/r*_binary64_6842`
7×	`add-exp-log_binary64_6936`
6×	`cube-div_binary64_6927` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `sqr-pow_binary64_6870` `cube-mult_binary64_6928` `unpow3_binary64_6964`
5×	`pow1_binary64_6959`
4×	`flip-+_binary64_6872` `cbrt-div_binary64_6930` `flip3-+_binary64_6901`
3×	`pow-unpow_binary64_6975` `associate-/l*_binary64_6843`
2×	`associate-/r/_binary64_6844`
1×	`pow-to-exp_binary64_6967` `pow1/3_binary64_6980` `rem-cube-cbrt_binary64_6921` `+-commutative_binary64_6828` `rem-cbrt-cube_binary64_6922` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `pow-pow_binary64_6970` `clear-num_binary64_6897` `sum-log_binary64_6989` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `pow-exp_binary64_6966`

Counts

4 → 175

Calls

8 calls:

13.0ms	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
11.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
8.0ms	(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0ms	(sqrt.f64 (+.f64 x 1))

series119.0ms (0.1%)

Counts

4 → 24

Calls

4 calls:

43.0ms	(/.f64 x (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
36.0ms	(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)
20.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
20.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 450 to 382 computations (15.1% saved)

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4952	3575
1	4952	3575

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.3b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))

rewrite102.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

239×	`*-un-lft-identity_binary64_6898`
216×	`sqrt-prod_binary64_6914`
183×	`add-sqr-sqrt_binary64_6920`
159×	`times-frac_binary64_6904`
116×	`distribute-lft-out_binary64_6849`
88×	`add-cube-cbrt_binary64_6933`
41×	`swap-sqr_binary64_6865`
27×	`associate-r_binary64_6838` `associate-l_binary64_6839`
20×	`pow1_binary64_6959`
14×	`associate-/r/_binary64_6844`
12×	`associate-/r*_binary64_6842`
10×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
9×	`sqrt-pow1_binary64_6916` `unswap-sqr_binary64_6866` `pow1/2_binary64_6978`
7×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `div-inv_binary64_6895`
6×	`rem-sqrt-square_binary64_6911` `associate-/l*_binary64_6843`
5×	`sqrt-div_binary64_6915` `pow-prod-up_binary64_6968`
4×	`add-log-exp_binary64_6937`
3×	`pow-sqr_binary64_6871` `pow-prod-down_binary64_6969`
2×	`sqr-abs_binary64_6913` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `clear-num_binary64_6897` `frac-2neg_binary64_6909`
1×	`pow2_binary64_6979` `associate-l/_binary64_6841` `prod-exp_binary64_6947` `sqrt-unprod_binary64_6918` `frac-times_binary64_6908` `cbrt-unprod_binary64_6931` `associate-r/_binary64_6840` `*-commutative_binary64_6829` `pow-plus_binary64_6961` `rem-square-sqrt_binary64_6910`

Counts

4 → 252

Calls

8 calls:

37.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
14.0ms	(sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series175.0ms (0.2%)

Counts

4 → 17

Calls

4 calls:

55.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
43.0ms	(sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
41.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
36.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 630 to 527 computations (16.3% saved)

simplify140.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4896	5207
1	4896	5207

prune9.2s (8.5%)

Pruning

252 alts after pruning (246 fresh and 6 done)

	Pruned	Kept	Total
New	541	220	761
Fresh	18	26	44
Picked	0	0	0
Done	0	6	6
Total	559	252	811

Error

Counts

811 → 252

Compiler

Compiled 13307 to 10709 computations (19.5% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_6898`
26×	`add-sqr-sqrt_binary64_6920`
21×	`distribute-lft-out_binary64_6849`
18×	`times-frac_binary64_6904`
15×	`add-cube-cbrt_binary64_6933`
14×	`sqrt-prod_binary64_6914`
6×	`associate-/r*_binary64_6842`
5×	`add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934`
4×	`pow1_binary64_6959`
3×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `associate-/l*_binary64_6843`
2×	`associate-/r/_binary64_6844` `sqrt-div_binary64_6915`
1×	`rem-sqrt-square_binary64_6911` `+-commutative_binary64_6828` `sqrt-pow1_binary64_6916` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `clear-num_binary64_6897` `sum-log_binary64_6989` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `pow1/2_binary64_6978`

Counts

3 → 71

Calls

6 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))

series79.0ms (0.1%)

Counts

3 → 18

Calls

3 calls:

41.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
19.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
18.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 396 to 354 computations (10.6% saved)

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5490	1202

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
0.1b	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))

rewrite103.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

528×	`times-frac_binary64_6904`
493×	`*-un-lft-identity_binary64_6898`
374×	`sqrt-prod_binary64_6914`
342×	`add-sqr-sqrt_binary64_6920`
241×	`add-cube-cbrt_binary64_6933`
201×	`distribute-lft-out_binary64_6849`
46×	`associate-/r*_binary64_6842`
12×	`associate-/l*_binary64_6843`
11×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
9×	`div-inv_binary64_6895`
6×	`add-log-exp_binary64_6937`
5×	`pow1_binary64_6959`
4×	`div-exp_binary64_6949` `cbrt-undiv_binary64_6932`
3×	`flip-+_binary64_6872` `flip3-+_binary64_6901`
2×	`sqrt-div_binary64_6915` `clear-num_binary64_6897` `frac-2neg_binary64_6909` `associate-/l/_binary64_6845`
1×	`rem-sqrt-square_binary64_6911` `+-commutative_binary64_6828` `sqrt-pow1_binary64_6916` `associate-/r/_binary64_6844` `sum-log_binary64_6989` `pow1/2_binary64_6978`

Counts

4 → 393

Calls

8 calls:

22.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
10.0ms	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))

series103.0ms (0.1%)

Counts

4 → 17

Calls

4 calls:

40.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
28.0ms	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
19.0ms	(sqrt.f64 (+.f64 1 x))
16.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 410 to 322 computations (21.5% saved)

simplify172.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

410 → 410

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5139	11133

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.2b	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
0.2b	(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
0.8b	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
0.8b	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite117.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

189×	`add-sqr-sqrt_binary64_6920`
163×	`times-frac_binary64_6904`
149×	`*-un-lft-identity_binary64_6898`
147×	`cbrt-prod_binary64_6929`
74×	`add-cube-cbrt_binary64_6933`
54×	`unpow-prod-down_binary64_6977`
48×	`distribute-lft-out_binary64_6849`
46×	`associate-l_binary64_6839`
33×	`associate-r_binary64_6838` `unswap-sqr_binary64_6866`
30×	`add-exp-log_binary64_6936`
24×	`sqrt-prod_binary64_6914`
14×	`sqr-pow_binary64_6870` `associate-/r*_binary64_6842` `unpow2_binary64_6963`
13×	`add-cbrt-cube_binary64_6934`
10×	`div-exp_binary64_6949`
8×	`prod-exp_binary64_6947`
7×	`pow1_binary64_6959`
5×	`cbrt-undiv_binary64_6932`
4×	`cbrt-div_binary64_6930` `add-log-exp_binary64_6937` `cbrt-unprod_binary64_6931`
3×	`pow1/3_binary64_6980` `1-exp_binary64_6942` `rec-exp_binary64_6948` `div-inv_binary64_6895` `associate-/l*_binary64_6843`
2×	`flip-+_binary64_6872` `pow-flip_binary64_6972` `flip3-+_binary64_6901` `associate-/r/_binary64_6844`
1×	`associate-l/_binary64_6841` `frac-times_binary64_6908` `associate-r/_binary64_6840` `*-commutative_binary64_6829` `clear-num_binary64_6897` `pow-prod-down_binary64_6969` `frac-2neg_binary64_6909` `inv-pow_binary64_6983`

Counts

4 → 247

Calls

8 calls:

52.0ms	(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
11.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
6.0ms	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	(sqrt.f64 (+.f64 1 x))

series315.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

135.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
89.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))
48.0ms	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
43.0ms	(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))

Compiler

Compiled 1094 to 966 computations (11.7% saved)

simplify164.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4939	7051
1	4939	7051

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.3b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.3b	(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))

rewrite155.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

241×	`*-un-lft-identity_binary64_6898`
227×	`sqrt-prod_binary64_6914`
196×	`add-sqr-sqrt_binary64_6920`
160×	`times-frac_binary64_6904`
116×	`distribute-lft-out_binary64_6849`
90×	`add-cube-cbrt_binary64_6933`
54×	`associate-l_binary64_6839`
53×	`pow1_binary64_6959`
46×	`sqrt-pow1_binary64_6916`
43×	`swap-sqr_binary64_6865`
31×	`associate-r_binary64_6838`
30×	`pow-prod-up_binary64_6968`
28×	`pow1/2_binary64_6978`
22×	`sqrt-div_binary64_6915`
15×	`unswap-sqr_binary64_6866`
14×	`associate-/r/_binary64_6844`
12×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `associate-/r*_binary64_6842`
8×	`pow-sqr_binary64_6871` `pow-prod-down_binary64_6969`
7×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `div-inv_binary64_6895`
6×	`rem-sqrt-square_binary64_6911` `frac-times_binary64_6908` `associate-r/_binary64_6840` `associate-/l_binary64_6843`
4×	`associate-*l/_binary64_6841` `add-log-exp_binary64_6937`
3×	`sqr-abs_binary64_6913`
2×	`pow2_binary64_6979` `prod-exp_binary64_6947` `sqrt-unprod_binary64_6918` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `clear-num_binary64_6897` `pow-plus_binary64_6961` `frac-2neg_binary64_6909`
1×	`rem-square-sqrt_binary64_6910`

Counts

4 → 294

Calls

8 calls:

48.0ms	(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
38.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series187.0ms (0.2%)

Counts

4 → 18

Calls

4 calls:

59.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
56.0ms	(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
36.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
35.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 802 to 675 computations (15.8% saved)

simplify133.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4904	6035
1	4904	6035

prune22.4s (20.7%)

Pruning

524 alts after pruning (513 fresh and 11 done)

	Pruned	Kept	Total
New	779	303	1082
Fresh	31	210	241
Picked	0	0	0
Done	0	11	11
Total	810	524	1334

Error

Counts

1334 → 524

Compiler

Compiled 27673 to 22462 computations (18.8% saved)

localize11.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_6898`
26×	`add-sqr-sqrt_binary64_6920`
21×	`distribute-lft-out_binary64_6849`
18×	`times-frac_binary64_6904`
15×	`add-cube-cbrt_binary64_6933`
14×	`sqrt-prod_binary64_6914`
6×	`associate-/r*_binary64_6842`
5×	`add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934`
4×	`pow1_binary64_6959`
3×	`flip-+_binary64_6872` `flip3-+_binary64_6901` `associate-/l*_binary64_6843`
2×	`associate-/r/_binary64_6844` `sqrt-div_binary64_6915`
1×	`rem-sqrt-square_binary64_6911` `+-commutative_binary64_6828` `sqrt-pow1_binary64_6916` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `clear-num_binary64_6897` `sum-log_binary64_6989` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `pow1/2_binary64_6978`

Counts

3 → 71

Calls

6 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))

series86.0ms (0.1%)

Counts

3 → 18

Calls

3 calls:

44.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
22.0ms	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
20.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 492 to 450 computations (8.5% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5490	1202

localize9.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.8b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))

rewrite124.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`*-un-lft-identity_binary64_6898`
202×	`sqrt-prod_binary64_6914`
184×	`add-sqr-sqrt_binary64_6920`
152×	`times-frac_binary64_6904`
104×	`distribute-lft-out_binary64_6849`
79×	`add-cube-cbrt_binary64_6933`
43×	`swap-sqr_binary64_6865`
34×	`pow1_binary64_6959`
30×	`associate-l_binary64_6839`
28×	`associate-r_binary64_6838`
24×	`sqrt-pow1_binary64_6916`
19×	`add-exp-log_binary64_6936`
17×	`unswap-sqr_binary64_6866`
15×	`add-cbrt-cube_binary64_6934`
12×	`associate-/r/_binary64_6844` `associate-/r*_binary64_6842`
10×	`pow-flip_binary64_6972` `inv-pow_binary64_6983`
9×	`pow-prod-up_binary64_6968`
8×	`sqrt-div_binary64_6915` `pow-prod-down_binary64_6969` `div-inv_binary64_6895` `pow1/2_binary64_6978`
6×	`flip-+_binary64_6872` `rem-sqrt-square_binary64_6911` `flip3-+_binary64_6901` `associate-/l*_binary64_6843`
5×	`pow-sqr_binary64_6871` `associate-*r/_binary64_6840`
4×	`prod-exp_binary64_6947` `div-exp_binary64_6949` `add-log-exp_binary64_6937` `cbrt-unprod_binary64_6931`
3×	`sqr-abs_binary64_6913`
2×	`associate-l/_binary64_6841` `1-exp_binary64_6942` `cbrt-undiv_binary64_6932` `frac-times_binary64_6908` `rec-exp_binary64_6948` `-commutative_binary64_6829` `clear-num_binary64_6897` `frac-2neg_binary64_6909`
1×	`pow2_binary64_6979` `sqrt-unprod_binary64_6918` `pow-plus_binary64_6961` `rem-square-sqrt_binary64_6910`

Counts

4 → 264

Calls

8 calls:

39.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
32.0ms	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
9.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
9.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	(sqrt.f64 (+.f64 1 x))

series139.0ms (0.1%)

Counts

4 → 24

Calls

4 calls:

39.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
38.0ms	(.f64 x (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
31.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
31.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 622 to 538 computations (13.5% saved)

simplify136.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4925	5099
1	4925	5099

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.2b	(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
0.2b	(/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
0.3b	(/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
0.8b	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite208.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

406×	`add-sqr-sqrt_binary64_6920`
370×	`times-frac_binary64_6904`
303×	`*-un-lft-identity_binary64_6898`
289×	`cbrt-prod_binary64_6929`
245×	`sqrt-prod_binary64_6914`
168×	`add-cube-cbrt_binary64_6933`
108×	`distribute-lft-out_binary64_6849`
88×	`associate-l_binary64_6839` `unpow-prod-down_binary64_6977`
60×	`associate-r_binary64_6838`
55×	`unswap-sqr_binary64_6866`
23×	`sqr-pow_binary64_6870` `associate-/r*_binary64_6842` `unpow2_binary64_6963`
20×	`add-exp-log_binary64_6936`
14×	`add-cbrt-cube_binary64_6934`
12×	`associate-/l*_binary64_6843`
6×	`cbrt-div_binary64_6930` `div-exp_binary64_6949` `pow1_binary64_6959` `cbrt-undiv_binary64_6932`
4×	`prod-exp_binary64_6947` `add-log-exp_binary64_6937` `associate-/r/_binary64_6844` `cbrt-unprod_binary64_6931` `div-inv_binary64_6895`
3×	`flip-+_binary64_6872` `flip3-+_binary64_6901`
2×	`clear-num_binary64_6897` `frac-2neg_binary64_6909`
1×	`pow1/3_binary64_6980` `associate-l/_binary64_6841` `frac-times_binary64_6908` `associate-r/_binary64_6840` `*-commutative_binary64_6829` `pow-prod-down_binary64_6969`

Counts

4 → 438

Calls

8 calls:

105.0ms	(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
14.0ms	(/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
11.0ms	(/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
6.0ms	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	(sqrt.f64 (+.f64 1 x))

series1.1s (1.1%)

Counts

4 → 16

Calls

4 calls:

706.0ms	(/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2)))
338.0ms	(/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
50.0ms	(cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))
45.0ms	(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))

Compiler

Compiled 1081 to 922 computations (14.7% saved)

simplify190.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

454 → 454

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5059	14909

localize23.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.3b	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.4b	(cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.4b	(cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
0.7b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 5)

rewrite130.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`sqrt-prod_binary64_6914`
207×	`*-un-lft-identity_binary64_6898`
163×	`add-sqr-sqrt_binary64_6920`
140×	`times-frac_binary64_6904`
96×	`distribute-lft-out_binary64_6849`
81×	`add-cube-cbrt_binary64_6933`
58×	`cbrt-prod_binary64_6929`
41×	`swap-sqr_binary64_6865`
30×	`unpow-prod-down_binary64_6977`
27×	`associate-r_binary64_6838` `associate-l_binary64_6839`
20×	`pow1_binary64_6959`
12×	`associate-/r/_binary64_6844` `sqrt-div_binary64_6915`
9×	`unswap-sqr_binary64_6866`
8×	`sqrt-pow1_binary64_6916` `pow1/2_binary64_6978`
7×	`add-exp-log_binary64_6936`
6×	`flip-+_binary64_6872` `add-cbrt-cube_binary64_6934` `flip3-+_binary64_6901` `div-inv_binary64_6895`
5×	`pow-prod-up_binary64_6968`
4×	`rem-sqrt-square_binary64_6911` `cbrt-div_binary64_6930` `add-log-exp_binary64_6937`
3×	`pow1/3_binary64_6980` `pow-sqr_binary64_6871` `pow-unpow_binary64_6975` `pow-prod-down_binary64_6969`
2×	`associate-l/_binary64_6841` `sqr-abs_binary64_6913` `frac-times_binary64_6908` `associate-r/_binary64_6840` `pow-pow_binary64_6970`
1×	`pow-to-exp_binary64_6967` `pow2_binary64_6979` `prod-exp_binary64_6947` `sqrt-unprod_binary64_6918` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `sqr-pow_binary64_6870` `pow-plus_binary64_6961` `pow-exp_binary64_6966` `rem-square-sqrt_binary64_6910`

Counts

4 → 230

Calls

8 calls:

44.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
22.0ms	(cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
13.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 5)
9.0ms	(cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series625.0ms (0.6%)

Counts

4 → 16

Calls

4 calls:

370.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 5)
104.0ms	(cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
96.0ms	(cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
54.0ms	(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))

Compiler

Compiled 1490 to 1276 computations (14.4% saved)

simplify147.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4880	5803
1	4880	5803

prune36.6s (33.8%)

Pruning

833 alts after pruning (820 fresh and 13 done)

	Pruned	Kept	Total
New	741	336	1077
Fresh	24	484	508
Picked	0	0	0
Done	3	13	16
Total	768	833	1601

Error

Counts

1601 → 833

Compiler

Compiled 17647 to 13963 computations (20.9% saved)

simplify879.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5179	57616

regimes3.4s (3.1%)

Compiler: Compiled 26708 to 22419 computations (16.1% saved)

bsearch0.0ms (0%)

regimes49.0ms (0%)

Compiler: Compiled 243 to 213 computations (12.3% saved)

bsearch18.0ms (0%)

Steps

Iters	Range		Point
10	8.461330883091591e-10	98.34028342914021	0.001349740313582845

Compiler

Compiled 1 to 1 computations (0% saved)

regimes37.0ms (0%)

Compiler: Compiled 237 to 207 computations (12.7% saved)

bsearch0.0ms (0%)

regimes13.0ms (0%)

Compiler: Compiled 37 to 37 computations (0% saved)

bsearch0.0ms (0%)

regimes12.0ms (0%)

Compiler: Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

regimes12.0ms (0%)

Accuracy

Total 0.2b remaining (100%)

Threshold costs 0.2b (100%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch17.0ms (0%)

Steps

Iters	Range		Point
9	4.1169158569938615e-162	6.755119577133048e-153	2.2232913121967634e-154

Compiler

Compiled 60 to 53 computations (11.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	85
1	48	85

end0.0ms (0%)

sample28.9s (26.7%)

Algorithm

1×

intervals

Results

234.0ms	7997×	body	128	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 26892 to 22582 computations (16% saved)

Pareto

0.6136875728236961