Details

analyze12.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify129.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

prune4.0ms (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 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite29.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/l*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 51

Calls

2 calls:

12.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series35.0ms (0%)

Counts

1 → 8

Calls

1 calls:

35.0ms

(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 120 to 118 computations (1.7% saved)

simplify62.0ms (0%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5379	955

prune187.0ms (0.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	35	24	59
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	35	25	60

Error

Counts

60 → 25

Compiler

Compiled 1154 to 955 computations (17.2% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/l*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 51

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series26.0ms (0%)

Counts

1 → 8

Calls

1 calls:

26.0ms

(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 140 to 138 computations (1.4% saved)

simplify60.0ms (0%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5379	955

localize3.0ms (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

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))))
0.0b	(atan.f64 (sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3)))))))
0.0b	(sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))))
0.0b	(atan.f64 (sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3)))))))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

2 → 22

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))))
1.0ms	(atan.f64 (sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3)))))))
0.0ms	(atan.f64 (sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3)))))))
0.0ms	(sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))))

series58.0ms (0%)

Counts

2 → 9

Calls

2 calls:

31.0ms	(atan.f64 (sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3)))))))
27.0ms	(sqrt.f64 (+.f64 1 (.f64 2 (-.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))))

Compiler

Compiled 208 to 190 computations (8.7% saved)

simplify92.0ms (0%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5718	743

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite96.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

170×	`*-un-lft-identity_binary64`
169×	`add-sqr-sqrt_binary64`
148×	`times-frac_binary64`
95×	`sqrt-prod_binary64`
77×	`add-cube-cbrt_binary64`
48×	`associate-r_binary64`
32×	`add-exp-log_binary64`
30×	`difference-of-squares_binary64`
27×	`associate-l_binary64`
21×	`distribute-lft-out_binary64`
20×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`
14×	`associate-/r*_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64` `associate-/l*_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
6×	`cbrt-undiv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 253

Calls

8 calls:

43.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
10.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
4.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))

series96.0ms (0%)

Counts

4 → 26

Calls

4 calls:

27.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
25.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
25.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
19.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 625 to 563 computations (9.9% saved)

simplify112.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4943	5004
1	4943	5004

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
0.0b	(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))

rewrite51.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`*-un-lft-identity_binary64`
68×	`add-sqr-sqrt_binary64`
60×	`cbrt-prod_binary64`
42×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64`
18×	`cbrt-div_binary64`
16×	`difference-of-squares_binary64`
15×	`distribute-lft-out_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `flip-+_binary64`
8×	`pow1/3_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
7×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
6×	`associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `associate-/r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `pow-plus_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

8 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
10.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
0.0ms	(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))

series165.0ms (0.1%)

Counts

4 → 27

Calls

4 calls:

50.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
47.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
37.0ms	(cbrt.f64 (+.f64 1 x))
32.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1016 to 904 computations (11% saved)

simplify125.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4889	2965
1	4889	2965

prune8.4s (4.4%)

Pruning

160 alts after pruning (156 fresh and 4 done)

	Pruned	Kept	Total
New	405	144	549
Fresh	7	12	19
Picked	0	0	0
Done	2	4	6
Total	414	160	574

Error

Counts

574 → 160

Compiler

Compiled 13357 to 11153 computations (16.5% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 x 3)) (.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x)))))
0.0b	(.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x))))
0.0b	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 x 3)) (.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x)))))
0.0b	(.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x))))

rewrite59.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64` `difference-of-squares_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
34×	`associate-/l*_binary64` `times-frac_binary64`
20×	`sqr-pow_binary64`
12×	`flip3-+_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-l/_binary64`
2×	`difference-cubes_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `cube-mult_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 124

Calls

4 calls:

30.0ms	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 x 3)) (.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x)))))
11.0ms	(.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x))))
0.0ms	(.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x))))
0.0ms	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 x 3)) (.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x)))))

series65.0ms (0%)

Counts

2 → 16

Calls

2 calls:

34.0ms	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 x 3)) (.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x)))))
31.0ms	(.f64 (+.f64 1 x) (+.f64 1 (+.f64 x (.f64 x x))))

Compiler

Compiled 362 to 342 computations (5.5% saved)

simplify83.0ms (0%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5656	3518

localize3.0ms (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

localize17.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))
0.0b	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))
0.0b	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
0.0b	(.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

rewrite62.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
59×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`associate-l_binary64`
27×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
15×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`distribute-lft-out--_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
4×	`associate-/r_binary64` `associate-r*_binary64` `associate-/r/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 123

Calls

6 calls:

27.0ms	(.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))
11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))
7.0ms	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
0.0ms	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
0.0ms	(.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

series131.0ms (0.1%)

Counts

3 → 25

Calls

3 calls:

59.0ms	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
38.0ms	(/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))
34.0ms	(.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

Compiler

Compiled 662 to 591 computations (10.7% saved)

simplify82.0ms (0%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5326	3122

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (pow.f64 x 3)))
0.0b	(+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x)))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
0.0b	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
0.0b	(sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x))))
0.0b	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
0.0b	(.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x)))))

rewrite367.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

1364×	`times-frac_binary64`
1253×	`*-un-lft-identity_binary64`
912×	`add-sqr-sqrt_binary64`
801×	`sqrt-prod_binary64`
524×	`add-cube-cbrt_binary64`
342×	`associate-l_binary64`
226×	`difference-of-squares_binary64`
196×	`distribute-lft-out_binary64`
113×	`distribute-lft-out--_binary64`
54×	`associate-/l*_binary64`
42×	`sqrt-div_binary64`
36×	`associate-/r/_binary64`
21×	`flip3-+_binary64` `flip-+_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`div-inv_binary64`
14×	`associate-/r*_binary64` `unswap-sqr_binary64`
7×	`pow1_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/l/_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `flip3--_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 880

Calls

8 calls:

102.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x)))))
33.0ms	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
10.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
7.0ms	(sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x))))
0.0ms	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))

series139.0ms (0.1%)

Counts

4 → 28

Calls

4 calls:

43.0ms	(.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x)))))
42.0ms	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
30.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
24.0ms	(sqrt.f64 (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (*.f64 1 x))))

Compiler

Compiled 855 to 750 computations (12.3% saved)

simplify358.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

908 → 908

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5247	35972

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(/.f64 1 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)))
0.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
0.0b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))
0.0b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.0b	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)

rewrite69.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`*-un-lft-identity_binary64`
70×	`add-sqr-sqrt_binary64`
64×	`cbrt-prod_binary64`
42×	`times-frac_binary64`
38×	`add-cube-cbrt_binary64`
34×	`cbrt-div_binary64`
16×	`difference-of-squares_binary64`
14×	`distribute-lft-out_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
12×	`pow1_binary64`
10×	`unpow-prod-down_binary64`
9×	`swap-sqr_binary64` `add-exp-log_binary64`
8×	`pow1/3_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
7×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
6×	`associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `associate-/r/_binary64` `pow-sqr_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `pow-plus_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 167

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
10.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
9.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
0.0ms	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))

series207.0ms (0.1%)

Counts

4 → 28

Calls

4 calls:

63.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
56.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
50.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
38.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))

Compiler

Compiled 1309 to 1165 computations (11% saved)

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4859	3508
1	4859	3508

prune51.9s (26.9%)

Pruning

403 alts after pruning (394 fresh and 9 done)

	Pruned	Kept	Total
New	1107	284	1391
Fresh	41	110	151
Picked	0	0	0
Done	0	9	9
Total	1148	403	1551

Error

Counts

1551 → 403

Compiler

Compiled 44642 to 35692 computations (20% saved)

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite135.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

188×	`sqrt-prod_binary64`
178×	`*-un-lft-identity_binary64`
155×	`add-sqr-sqrt_binary64`
151×	`times-frac_binary64`
89×	`add-cube-cbrt_binary64`
70×	`associate-r_binary64`
50×	`add-exp-log_binary64`
37×	`difference-of-squares_binary64`
33×	`associate-l_binary64`
32×	`add-cbrt-cube_binary64`
22×	`prod-exp_binary64`
19×	`distribute-lft-out_binary64`
17×	`distribute-lft-out--_binary64`
12×	`pow1_binary64` `cbrt-unprod_binary64` `div-exp_binary64`
11×	`frac-times_binary64`
10×	`sqrt-div_binary64`
9×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
8×	`associate-*r/_binary64`
7×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-l/_binary64`
6×	`associate-/r/_binary64`
5×	`unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 279

Calls

8 calls:

35.0ms	(*.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
32.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 1 1) (.f64 x x)))) (.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
11.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
4.0ms	(sqrt.f64 (-.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))

series108.0ms (0.1%)

Counts

4 → 24

Calls

4 calls:

29.0ms	(*.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
28.0ms	(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 1 1) (.f64 x x)))) (.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
27.0ms	(sqrt.f64 (-.f64 1 x))
24.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 719 to 639 computations (11.1% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5138	6806

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize23.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))
0.0b	(/.f64 (+.f64 (pow.f64 1 (/.f64 3 2)) (pow.f64 x (/.f64 3 2))) (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))))
0.0b	(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x)))))
0.0b	(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x)))))
0.0b	(/.f64 (+.f64 (pow.f64 1 (/.f64 3 2)) (pow.f64 x (/.f64 3 2))) (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))))
0.0b	(/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))

rewrite570.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3586×	`*-un-lft-identity_binary64`
3433×	`times-frac_binary64`
1820×	`add-sqr-sqrt_binary64`
1004×	`distribute-lft-out_binary64`
973×	`add-cube-cbrt_binary64`
726×	`difference-of-squares_binary64`
622×	`unpow-prod-down_binary64`
242×	`sqr-pow_binary64`
239×	`associate-/r*_binary64`
121×	`distribute-lft-out--_binary64`
68×	`associate-/r/_binary64`
38×	`div-inv_binary64`
32×	`flip3-+_binary64` `flip-+_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/l/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

3 → 1000

Calls

6 calls:

71.0ms	(/.f64 (+.f64 (pow.f64 1 (/.f64 3 2)) (pow.f64 x (/.f64 3 2))) (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))))
32.0ms	(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x)))))
14.0ms	(/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))
0.0ms	(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x)))))
0.0ms	(/.f64 (+.f64 (pow.f64 1 (/.f64 3 2)) (pow.f64 x (/.f64 3 2))) (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))))

series213.0ms (0.1%)

Counts

3 → 18

Calls

3 calls:

93.0ms

(/.f64 (+.f64 (pow.f64 1 (/.f64 3 2)) (pow.f64 x (/.f64 3 2))) (/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))))

61.0ms

(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x)))))

59.0ms

(/.f64 (-.f64 1 (pow.f64 x 3/2)) (+.f64 1 (+.f64 x (*.f64 x x))))

Compiler

Compiled 910 to 821 computations (9.8% saved)

simplify590.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1018 → 1018

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5005	67212

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(/.f64 1 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)))
0.0b	(.f64 (/.f64 1 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
0.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))
0.0b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.0b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
0.0b	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)

rewrite76.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`cbrt-prod_binary64`
100×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
42×	`times-frac_binary64`
30×	`cbrt-div_binary64`
16×	`difference-of-squares_binary64`
15×	`distribute-lft-out_binary64`
12×	`pow1_binary64` `swap-sqr_binary64`
10×	`associate-r_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
9×	`add-exp-log_binary64` `unswap-sqr_binary64`
8×	`flip3-+_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-pow_binary64` `associate-/r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `pow-plus_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 181

Calls

8 calls:

16.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
11.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.0ms	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4))

series199.0ms (0.1%)

Counts

4 → 26

Calls

4 calls:

68.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
53.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
40.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
38.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))

Compiler

Compiled 1288 to 1145 computations (11.1% saved)

simplify92.0ms (0%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	3807
1	4964	3807

localize38.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.0b	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
0.0b	(+.f64 1 (-.f64 (*.f64 x x) x))
0.0b	(sqrt.f64 (+.f64 1 (pow.f64 x 3)))
0.0b	(sqrt.f64 (cbrt.f64 (+.f64 1 x)))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.0b	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))

rewrite116.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

183×	`sqrt-prod_binary64`
170×	`*-un-lft-identity_binary64`
144×	`add-sqr-sqrt_binary64`
126×	`times-frac_binary64`
86×	`add-cube-cbrt_binary64`
69×	`cbrt-prod_binary64`
32×	`difference-of-squares_binary64`
28×	`cbrt-div_binary64`
18×	`associate-/l*_binary64`
17×	`distribute-lft-out_binary64`
16×	`distribute-lft-out--_binary64` `sqrt-div_binary64`
14×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
12×	`pow1_binary64`
10×	`add-exp-log_binary64` `associate-/r/_binary64`
9×	`swap-sqr_binary64`
8×	`add-cbrt-cube_binary64` `frac-times_binary64`
7×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `pow-prod-up_binary64` `cbrt-undiv_binary64` `sqrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-sqr_binary64` `flip--_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 272

Calls

8 calls:

19.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
13.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
12.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
5.0ms	(sqrt.f64 (cbrt.f64 (+.f64 1 x)))
0.0ms	(sqrt.f64 (+.f64 1 (pow.f64 x 3)))

series250.0ms (0.1%)

Counts

4 → 26

Calls

4 calls:

74.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
68.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
62.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
45.0ms	(sqrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 1797 to 1522 computations (15.3% saved)

simplify145.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4887	7255
1	4887	7255

prune1.7min (51.9%)

Pruning

641 alts after pruning (627 fresh and 14 done)

	Pruned	Kept	Total
New	1518	308	1826
Fresh	70	319	389
Picked	0	0	0
Done	0	14	14
Total	1588	641	2229

Error

Counts

2229 → 641

Compiler

Compiled 37380 to 28784 computations (23% saved)

simplify1.9s (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	10479	114110

regimes22.8s (11.8%)

Compiler: Compiled 332227 to 275109 computations (17.2% saved)

bsearch0.0ms (0%)

regimes14.0ms (0%)

Compiler: Compiled 45 to 46 computations (-2.2% saved)

bsearch0.0ms (0%)

regimes12.0ms (0%)

Compiler: Compiled 15 to 19 computations (-26.7% saved)

bsearch0.0ms (0%)

regimes9.0ms (0%)

Compiler: Compiled 9 to 13 computations (-44.4% saved)

bsearch0.0ms (0%)

regimes8.0ms (0%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0%)

Compiler: Compiled 34 to 33 computations (2.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	51
1	37	51

end0.0ms (0%)

sample1.7s (0.9%)

Algorithm

1×

intervals

Results

384.0ms

8000×

body

128

valid

Compiler

Compiled 66511 to 55087 computations (17.2% saved)