Details

analyze62.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample16.0ms (0%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (*.f64 x y) x)

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7278`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `*-un-lft-identity_binary64_7239` `+-commutative_binary64_7169` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 11

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x y) x)
0.0ms	(+.f64 (*.f64 x y) x)

series50.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

50.0ms

(+.f64 (*.f64 x y) x)

Compiler

Compiled 97 to 77 computations (20.6% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4908	184
1	4908	184

prune41.0ms (0.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	9	11	20
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	9	12	21

Error

Counts

21 → 12

Compiler

Compiled 269 to 138 computations (48.7% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (*.f64 x y) x)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7278`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `*-un-lft-identity_binary64_7239` `+-commutative_binary64_7169` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) x)
0.0ms	(+.f64 (*.f64 x y) x)

series46.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

46.0ms

(+.f64 (*.f64 x y) x)

Compiler

Compiled 127 to 107 computations (15.7% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4908	184
1	4908	184

localize2.0ms (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:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (*.f64 x y) x)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7278`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `*-un-lft-identity_binary64_7239` `+-commutative_binary64_7169` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) x)
0.0ms	(+.f64 (*.f64 x y) x)

series49.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

49.0ms

(+.f64 (*.f64 x y) x)

Compiler

Compiled 127 to 107 computations (15.7% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4908	184
1	4908	184

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

3.3b	(exp.f64 (log.f64 (+.f64 x (*.f64 x y))))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(log.f64 (+.f64 x (*.f64 x y)))
0.0b	(log.f64 (+.f64 x (*.f64 x y)))
0.0b	(+.f64 x (*.f64 x y))
3.3b	(exp.f64 (log.f64 (+.f64 x (*.f64 x y))))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64_7325` `*-un-lft-identity_binary64_7239` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`
5×	`add-log-exp_binary64_7278` `pow1_binary64_7300`
4×	`add-exp-log_binary64_7277` `exp-prod_binary64_7291` `log-div_binary64_7326`
3×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `exp-sum_binary64_7285` `add-cbrt-cube_binary64_7275`
2×	`log-pow_binary64_7328` `exp-diff_binary64_7287`
1×	`+-commutative_binary64_7169` `rem-log-exp_binary64_7280` `sum-log_binary64_7330` `rem-exp-log_binary64_7279`

Counts

3 → 42

Calls

6 calls:

4.0ms	(exp.f64 (log.f64 (+.f64 x (*.f64 x y))))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(log.f64 (+.f64 x (*.f64 x y)))
0.0ms	(log.f64 (+.f64 x (*.f64 x y)))
0.0ms	(+.f64 x (*.f64 x y))

series411.0ms (1%)

Counts

3 → 30

Calls

3 calls:

241.0ms	(exp.f64 (log.f64 (+.f64 x (*.f64 x y))))
123.0ms	(log.f64 (+.f64 x (*.f64 x y)))
47.0ms	(+.f64 x (*.f64 x y))

Compiler

Compiled 572 to 486 computations (15% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4900	784
1	4900	784

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_7261`
24×	`sqrt-prod_binary64_7255`
21×	`pow1_binary64_7300`
16×	`sqrt-div_binary64_7256`
14×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
10×	`pow1/2_binary64_7319` `sqrt-pow1_binary64_7257`
9×	`flip-+_binary64_7213` `flip3-+_binary64_7242`
8×	`swap-sqr_binary64_7206`
6×	`add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `associate-r_binary64_7179` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
5×	`pow-prod-up_binary64_7309`
4×	`rem-sqrt-square_binary64_7252` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
3×	`pow-prod-down_binary64_7310` `pow-sqr_binary64_7212`
2×	`associate-r/_binary64_7181` `associate-l/_binary64_7182`
1×	`pow2_binary64_7320` `sqrt-unprod_binary64_7259` `cbrt-unprod_binary64_7272` `*-commutative_binary64_7170` `sqr-abs_binary64_7254` `prod-exp_binary64_7288` `+-commutative_binary64_7169` `rem-square-sqrt_binary64_7251` `pow-plus_binary64_7302` `sum-log_binary64_7330`

Counts

4 → 99

Calls

8 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0ms	(+.f64 x (*.f64 x y))

series214.0ms (0.5%)

Counts

4 → 36

Calls

4 calls:

61.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
52.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
50.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
50.0ms	(+.f64 x (*.f64 x y))

Compiler

Compiled 1066 to 749 computations (29.7% saved)

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4964	1595
1	4964	1595

prune1.3s (3%)

Pruning

87 alts after pruning (81 fresh and 6 done)

	Pruned	Kept	Total
New	170	77	247
Fresh	2	4	6
Picked	0	0	0
Done	0	6	6
Total	172	87	259

Error

Counts

259 → 87

Compiler

Compiled 3546 to 1474 computations (58.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (*.f64 x y) x)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7278`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `*-un-lft-identity_binary64_7239` `+-commutative_binary64_7169` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) x)
0.0ms	(+.f64 (*.f64 x y) x)

series47.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

47.0ms

(+.f64 (*.f64 x y) x)

Compiler

Compiled 157 to 137 computations (12.7% saved)

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4908	184
1	4908	184

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

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_7261`
24×	`sqrt-prod_binary64_7255`
21×	`pow1_binary64_7300`
16×	`sqrt-div_binary64_7256`
14×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
10×	`pow1/2_binary64_7319` `sqrt-pow1_binary64_7257`
9×	`flip-+_binary64_7213` `flip3-+_binary64_7242`
8×	`swap-sqr_binary64_7206`
6×	`add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `associate-r_binary64_7179` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
5×	`pow-prod-up_binary64_7309`
4×	`rem-sqrt-square_binary64_7252` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
3×	`pow-prod-down_binary64_7310` `pow-sqr_binary64_7212`
2×	`associate-r/_binary64_7181` `associate-l/_binary64_7182`
1×	`pow2_binary64_7320` `sqrt-unprod_binary64_7259` `cbrt-unprod_binary64_7272` `*-commutative_binary64_7170` `sqr-abs_binary64_7254` `prod-exp_binary64_7288` `+-commutative_binary64_7169` `rem-square-sqrt_binary64_7251` `pow-plus_binary64_7302` `sum-log_binary64_7330`

Counts

4 → 99

Calls

8 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0ms	(+.f64 x (*.f64 x y))

series218.0ms (0.5%)

Counts

4 → 36

Calls

4 calls:

59.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
54.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
53.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
51.0ms	(+.f64 x (*.f64 x y))

Compiler

Compiled 1182 to 865 computations (26.8% saved)

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4964	1595
1	4964	1595

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (*.f64 1/8 y)))
0.0b	(+.f64 (sqrt.f64 x) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (*.f64 1/8 y))))
0.0b	(+.f64 x (*.f64 x y))
0.1b	(.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (*.f64 1/8 y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.2b	(*.f64 y (sqrt.f64 x))
0.2b	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite36.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_7261`
15×	`associate-r_binary64_7179`
14×	`pow1_binary64_7300`
13×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
12×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
11×	`sqrt-prod_binary64_7255`
8×	`sqrt-div_binary64_7256`
7×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `associate-l_binary64_7180`
5×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288`
4×	`associate-*r/_binary64_7181` `add-log-exp_binary64_7278` `frac-times_binary64_7249` `unswap-sqr_binary64_7207`
3×	`*-commutative_binary64_7170`
2×	`distribute-lft-in_binary64_7188` `associate-*l/_binary64_7182` `distribute-rgt-in_binary64_7189` `cancel-sign-sub-inv_binary64_7205` `sub-neg_binary64_7232`
1×	`pow1/2_binary64_7319` `rem-sqrt-square_binary64_7252` `flip3--_binary64_7243` `flip--_binary64_7214` `sqrt-pow1_binary64_7257`

Counts

4 → 91

Calls

8 calls:

10.0ms	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (*.f64 x y))))
8.0ms	(.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (*.f64 1/8 y)))
5.0ms	(*.f64 y (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0ms	(+.f64 x (*.f64 x y))

series428.0ms (1%)

Counts

4 → 31

Calls

4 calls:

196.0ms	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (*.f64 x y))))
125.0ms	(.f64 (.f64 y (sqrt.f64 x)) (-.f64 1/2 (*.f64 1/8 y)))
55.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
52.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 1697 to 1250 computations (26.3% saved)

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5190	2466

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 y (-.f64 (.f64 x y) x))
0.0b	(-.f64 (*.f64 x y) x)
0.0b	(+.f64 x (.f64 y (-.f64 (.f64 x y) x)))
0.0b	(log.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x))))))
2.6b	(.f64 x (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))
3.3b	(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))))
4.5b	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))
38.8b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))

rewrite60.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_7239`
13×	`add-sqr-sqrt_binary64_7261`
11×	`add-exp-log_binary64_7277` `log-prod_binary64_7325` `exp-sum_binary64_7285` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274`
10×	`times-frac_binary64_7245`
7×	`pow1_binary64_7300`
6×	`associate-*r/_binary64_7181` `add-log-exp_binary64_7278`
5×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `associate-/l*_binary64_7184`
4×	`sum-cubes_binary64_7240` `exp-prod_binary64_7291` `associate-/r/_binary64_7185` `distribute-lft-out_binary64_7190`
3×	`associate-r_binary64_7179` `associate-l_binary64_7180`
2×	`cbrt-unprod_binary64_7272` `associate-/l/_binary64_7186` `prod-exp_binary64_7288` `div-inv_binary64_7236` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290`
1×	`associate-/r_binary64_7183` `distribute-lft-in_binary64_7188` `pow-prod-down_binary64_7310` `log-pow_binary64_7328` `distribute-rgt-in_binary64_7189` `frac-2neg_binary64_7250` `unswap-sqr_binary64_7207` `-commutative_binary64_7170` `log-div_binary64_7326` `+-commutative_binary64_7169` `exp-diff_binary64_7287` `sum-log_binary64_7330` `rem-exp-log_binary64_7279` `clear-num_binary64_7238`

Counts

4 → 88

Calls

8 calls:

18.0ms	(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))))
16.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))
9.0ms	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))
6.0ms	(.f64 x (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))
0.0ms	(log.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x))))))

series1.2s (2.9%)

Counts

4 → 39

Calls

4 calls:

571.0ms	(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))))
323.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (.f64 x (+.f64 x (.f64 y (-.f64 (.f64 x y) x)))))
187.0ms	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))
164.0ms	(.f64 x (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))

Compiler

Compiled 1313 to 1025 computations (21.9% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5406	3058

prune5.7s (13.3%)

Pruning

226 alts after pruning (216 fresh and 10 done)

	Pruned	Kept	Total
New	259	145	404
Fresh	5	71	76
Picked	0	0	0
Done	1	10	11
Total	265	226	491

Error

Counts

491 → 226

Compiler

Compiled 12415 to 6096 computations (50.9% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (*.f64 x y) x)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_7278`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `add-exp-log_binary64_7277` `*-un-lft-identity_binary64_7239` `+-commutative_binary64_7169` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `sum-log_binary64_7330` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) x)
0.0ms	(+.f64 (*.f64 x y) x)

series53.0ms (0.1%)

Counts

1 → 9

Calls

1 calls:

53.0ms

(+.f64 (*.f64 x y) x)

Compiler

Compiled 187 to 167 computations (10.7% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4908	184
1	4908	184

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

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.0b	(+.f64 x (*.f64 x y))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (fabs.f64 (sqrt.f64 (+.f64 x (*.f64 x y)))))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_7261`
10×	`sqrt-prod_binary64_7255`
9×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
8×	`pow1_binary64_7300`
6×	`add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `sqrt-div_binary64_7256` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
4×	`flip-+_binary64_7213` `flip3-+_binary64_7242`
3×	`rem-sqrt-square_binary64_7252` `associate-r_binary64_7179`
2×	`pow1/2_binary64_7319` `associate-*l/_binary64_7182` `unswap-sqr_binary64_7207` `sqrt-pow1_binary64_7257`
1×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `*-commutative_binary64_7170` `sqr-abs_binary64_7254` `prod-exp_binary64_7288` `+-commutative_binary64_7169` `sum-log_binary64_7330`

Counts

4 → 66

Calls

8 calls:

7.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (fabs.f64 (sqrt.f64 (+.f64 x (*.f64 x y)))))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0ms	(+.f64 x (*.f64 x y))

series273.0ms (0.6%)

Counts

4 → 36

Calls

4 calls:

114.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (fabs.f64 (sqrt.f64 (+.f64 x (*.f64 x y)))))
55.0ms	(+.f64 x (*.f64 x y))
53.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
51.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

Compiler

Compiled 1512 to 946 computations (37.4% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5085	1317

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 y (-.f64 (.f64 x y) x))
0.0b	(-.f64 (*.f64 x y) x)
0.0b	(log.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x)))))
0.0b	(+.f64 x (.f64 y (-.f64 (.f64 x y) x)))
3.3b	(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))))
4.5b	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))
9.5b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) x)
31.0b	(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))

rewrite96.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

234×	`times-frac_binary64_7245`
170×	`*-un-lft-identity_binary64_7239`
118×	`add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`
63×	`log-prod_binary64_7325` `exp-sum_binary64_7285`
26×	`sum-cubes_binary64_7240` `distribute-lft-out_binary64_7190`
24×	`associate-/l*_binary64_7184`
11×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
10×	`div-inv_binary64_7236`
6×	`add-log-exp_binary64_7278` `associate-/r*_binary64_7183`
5×	`pow1_binary64_7300`
4×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `exp-prod_binary64_7291` `associate-/r/_binary64_7185` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290`
3×	`associate-/l/_binary64_7186`
2×	`frac-2neg_binary64_7250` `clear-num_binary64_7238`
1×	`log-pow_binary64_7328` `log-div_binary64_7326` `+-commutative_binary64_7169` `exp-diff_binary64_7287` `sum-log_binary64_7330` `rem-exp-log_binary64_7279`

Counts

4 → 222

Calls

8 calls:

19.0ms	(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))))
18.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))
15.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) x)
9.0ms	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))
0.0ms	(+.f64 x (.f64 y (-.f64 (.f64 x y) x)))

series1.3s (3.1%)

Counts

4 → 36

Calls

4 calls:

582.0ms	(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))))
333.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) x) (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))
230.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) x)
175.0ms	(+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))

Compiler

Compiled 1184 to 901 computations (23.9% saved)

simplify155.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4997	11241
1	4997	11241

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.1b	(.f64 (.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) (-.f64 1/2 (.f64 1/8 y)))
0.0b	(+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) (-.f64 1/2 (.f64 1/8 y))))
0.0b	(+.f64 x (*.f64 x y))
0.2b	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (.f64 x y))))
0.2b	(*.f64 y (fabs.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_7261`
11×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
9×	`associate-r_binary64_7179`
8×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275`
6×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `sqrt-div_binary64_7256` `cbrt-prod_binary64_7270` `associate-l_binary64_7180`
4×	`sqrt-prod_binary64_7255` `add-log-exp_binary64_7278` `frac-times_binary64_7249`
3×	`unswap-sqr_binary64_7207`
2×	`associate-r/_binary64_7181` `associate-l/_binary64_7182` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `pow1/3_binary64_7321` `*-commutative_binary64_7170` `prod-exp_binary64_7288`

Counts

4 → 70

Calls

8 calls:

11.0ms	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (.f64 x y))))
4.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(+.f64 x (*.f64 x y))

series601.0ms (1.4%)

Counts

4 → 19

Calls

4 calls:

391.0ms	(.f64 (+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) (-.f64 1/2 (.f64 1/8 y)))) (sqrt.f64 (+.f64 x (.f64 x y))))
79.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
55.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))

Compiler

Compiled 1716 to 1367 computations (20.3% saved)

simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5340	2358

prune15.3s (35.5%)

Pruning

400 alts after pruning (386 fresh and 14 done)

	Pruned	Kept	Total
New	279	190	469
Fresh	15	196	211
Picked	0	0	0
Done	1	14	15
Total	295	400	695

Error

Counts

695 → 400

Compiler

Compiled 11707 to 4064 computations (65.3% saved)

simplify439.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5016	29948

regimes2.6s (6%)

Compiler: Compiled 31350 to 17832 computations (43.1% saved)

bsearch0.0ms (0%)

regimes31.0ms (0.1%)

Compiler: Compiled 26 to 40 computations (-53.8% saved)

bsearch19.0ms (0%)

Steps

Iters	Range		Point
5	0.0024994389978089202	0.0057915987915468	0.005718177372860409
9	-12435.954290891914	-0.030435441123559066	-1.007520315792716

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0%)

Compiler: Compiled 16 to 32 computations (-100% saved)

bsearch0.0ms (0%)

regimes17.0ms (0%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0%)

Compiler: Compiled 32 to 22 computations (31.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	40
1	25	40

end0.0ms (0%)

sample10.8s (25.2%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
2.0ms	76×	body	128	invalid

Compiler

Compiled 15765 to 8989 computations (43% saved)

Pareto

0.6740416097864167