Details

Time bar (total: 22.4s)

analyze217.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample17.0ms (0.1%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify280.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (177.0ms)

IterNodesCost
047569
147569

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
28.7b
Counts
2 → 2
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

27.5b
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0b
(*.f64 2 (*.f64 x x))
0.0b
(*.f64 2 (*.f64 x x))
27.5b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite15.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls

4 calls:

6.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
6.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series71.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

46.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
25.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 64 to 64 computations (0% saved)

simplify54.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04932300
14932300

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

27.5b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
0.0b
(*.f64 2 (pow.f64 x 2))
0.0b
(*.f64 2 (pow.f64 x 2))
27.5b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite12.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×add-cbrt-cube_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
3×pow1_binary64 associate-*l*_binary64 prod-exp_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls

4 calls:

6.0ms
(*.f64 2 (pow.f64 x 2))
3.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
0.0ms
(*.f64 2 (pow.f64 x 2))
0.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

series55.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(*.f64 2 (pow.f64 x 2))
27.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
Compiler

Compiled 64 to 64 computations (0% saved)

simplify52.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04987360
14987360

prune168.0ms (0.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New552580
Fresh000
Picked000
Done112
Total562682
Error
0.2b
Counts
82 → 26
Compiler

Compiled 594 to 441 computations (25.8% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*l*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

2 calls:

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

series32.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
Compiler

Compiled 30 to 30 computations (0% saved)

simplify72.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04863270
14863270

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

2 calls:

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

series29.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 24 to 24 computations (0% saved)

simplify45.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05010211

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

27.5b
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0b
(*.f64 2 (*.f64 x x))
0.0b
(*.f64 2 (*.f64 x x))
27.5b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite15.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls

4 calls:

9.0ms
(*.f64 2 (*.f64 x x))
4.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0ms
(*.f64 2 (*.f64 x x))
0.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series52.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
25.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 88 to 88 computations (0% saved)

simplify48.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04932300
14932300

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

13.8b
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (sqrt.f64 x) 2)))
0.3b
(pow.f64 (sqrt.f64 x) 2)
0.3b
(pow.f64 (sqrt.f64 x) 2)
13.8b
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (sqrt.f64 x) 2)))

rewrite11.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
6×unpow-prod-down_binary64
5×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×sqrt-prod_binary64
3×pow-unpow_binary64 pow-pow_binary64 add-exp-log_binary64
2×add-log-exp_binary64 pow1/2_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 sqrt-div_binary64 associate-*l/_binary64
1×pow-to-exp_binary64 flip3-+_binary64 sqrt-pow2_binary64 unpow2_binary64 sqr-pow_binary64 flip-+_binary64 pow-exp_binary64
Counts
2 → 36
Calls

4 calls:

6.0ms
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (sqrt.f64 x) 2)))
3.0ms
(pow.f64 (sqrt.f64 x) 2)
0.0ms
(pow.f64 (sqrt.f64 x) 2)
0.0ms
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (sqrt.f64 x) 2)))

series45.0ms (0.2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (sqrt.f64 x) 2)))
17.0ms
(pow.f64 (sqrt.f64 x) 2)
Compiler

Compiled 118 to 102 computations (13.6% saved)

simplify49.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04635267
14635267

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 x) 2)
0.1b
(*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
0.1b
(*.f64 x (cbrt.f64 x))
0.0b
(*.f64 2 (*.f64 x (cbrt.f64 x)))
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
27.5b
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))

rewrite15.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
6×pow1_binary64 unpow-prod-down_binary64
5×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64 pow1/3_binary64
2×pow-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 unpow2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64
Counts
4 → 54
Calls

8 calls:

7.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
2.0ms
(pow.f64 (cbrt.f64 x) 2)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
0.0ms
(*.f64 2 (*.f64 x (cbrt.f64 x)))

series285.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(pow.f64 (cbrt.f64 x) 2)
76.0ms
(cbrt.f64 x)
69.0ms
(cbrt.f64 x)
53.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
Compiler

Compiled 302 to 266 computations (11.9% saved)

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04836455
14836455

prune1.2s (5.3%)

Pruning

99 alts after pruning (94 fresh and 5 done)

PrunedKeptTotal
New11679195
Fresh51520
Picked000
Done156
Total12299221
Error
0b
Counts
221 → 99
Compiler

Compiled 2726 to 1875 computations (31.2% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite21.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls

4 calls:

11.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
0.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series127.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
33.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 120 to 120 computations (0% saved)

simplify71.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097624

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls

2 calls:

7.0ms
(*.f64 x (sqrt.f64 2))
0.0ms
(*.f64 x (sqrt.f64 2))

series30.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

30.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 30 to 30 computations (0% saved)

simplify43.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05010211

localize6.0ms (0%)

Local error

Found 8 expressions with local error:

27.5b
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2))))
0.5b
(*.f64 x (sqrt.f64 2))
0.5b
(*.f64 x (sqrt.f64 2))
0.3b
(*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
0.5b
(*.f64 x (sqrt.f64 2))
0.5b
(*.f64 x (sqrt.f64 2))
27.5b
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2))))

rewrite32.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
87×pow1_binary64
36×pow-prod-down_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
16×sqrt-pow1_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
9×sqrt-prod_binary64
8×pow-prod-up_binary64 pow-sqr_binary64
7×associate-*l*_binary64
4×add-log-exp_binary64 pow-plus_binary64 unswap-sqr_binary64
3×*-commutative_binary64
2×pow2_binary64
1×pow1/2_binary64 swap-sqr_binary64 rem-sqrt-square_binary64
Counts
4 → 104
Calls

8 calls:

8.0ms
(*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
7.0ms
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2))))
5.0ms
(*.f64 x (sqrt.f64 2))
5.0ms
(*.f64 x (sqrt.f64 2))
0.0ms
(*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))

series138.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

44.0ms
(*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2)))
34.0ms
(*.f64 x (sqrt.f64 2))
31.0ms
(*.f64 x (sqrt.f64 2))
28.0ms
(sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 2)) (*.f64 x (sqrt.f64 2))))
Compiler

Compiled 202 to 190 computations (5.9% saved)

simplify52.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05042768

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b
(pow.f64 (cbrt.f64 x) 2)
0.1b
(*.f64 (*.f64 2 (*.f64 x (pow.f64 x 1/3))) (pow.f64 (cbrt.f64 x) 2))
0.1b
(*.f64 x (pow.f64 x 1/3))
0.0b
(*.f64 2 (*.f64 x (pow.f64 x 1/3)))
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.5b
(cbrt.f64 x)
2.6b
(pow.f64 x 1/3)
13.8b
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (pow.f64 x 1/3))) (pow.f64 (cbrt.f64 x) 2)))

rewrite18.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×unpow-prod-down_binary64
7×pow1_binary64
6×pow-unpow_binary64 add-exp-log_binary64 cbrt-prod_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow-pow_binary64
2×pow-to-exp_binary64 pow1/3_binary64 sqr-pow_binary64 pow-exp_binary64
1×pow1/2_binary64 unpow2_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 unpow1/3_binary64
Counts
4 → 61
Calls

8 calls:

8.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (pow.f64 x 1/3))) (pow.f64 (cbrt.f64 x) 2)))
2.0ms
(pow.f64 (cbrt.f64 x) 2)
2.0ms
(pow.f64 x 1/3)
1.0ms
(cbrt.f64 x)
0.0ms
(*.f64 2 (*.f64 x (pow.f64 x 1/3)))

series306.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

88.0ms
(pow.f64 (cbrt.f64 x) 2)
77.0ms
(pow.f64 x 1/3)
71.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (pow.f64 x 1/3))) (pow.f64 (cbrt.f64 x) 2)))
70.0ms
(cbrt.f64 x)
Compiler

Compiled 326 to 290 computations (11% saved)

simplify65.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05089456

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b
(*.f64 x (cbrt.f64 x))
0.1b
(*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) 2))
0.0b
(*.f64 2 (*.f64 x (cbrt.f64 x)))
0.0b
(log.f64 (cbrt.f64 x))
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
2.2b
(exp.f64 (log.f64 (cbrt.f64 x)))
13.8b
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) 2)))

rewrite17.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
6×pow1_binary64 log-prod_binary64 exp-sum_binary64
5×exp-prod_binary64
4×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×pow1/3_binary64
2×log-pow_binary64
1×pow1/2_binary64 rem-exp-log_binary64 sqrt-pow1_binary64 sqrt-prod_binary64
Counts
4 → 51
Calls

8 calls:

9.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) 2)))
3.0ms
(exp.f64 (log.f64 (cbrt.f64 x)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
0.0ms
(log.f64 (cbrt.f64 x))

series585.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

314.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) 2)))
126.0ms
(exp.f64 (log.f64 (cbrt.f64 x)))
75.0ms
(cbrt.f64 x)
70.0ms
(cbrt.f64 x)
Compiler

Compiled 412 to 370 computations (10.2% saved)

simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05176429

prune2.7s (12.1%)

Pruning

162 alts after pruning (152 fresh and 10 done)

PrunedKeptTotal
New25873331
Fresh107989
Picked000
Done01010
Total268162430
Error
0b
Counts
430 → 162
Compiler

Compiled 5000 to 3757 computations (24.9% saved)

localize11.0ms (0%)

Local error

Found 6 expressions with local error:

0.4b
(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.3b
(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.3b
(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
0.4b
(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite59.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
49×pow1_binary64 add-exp-log_binary64
33×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
24×add-cbrt-cube_binary64
15×cbrt-prod_binary64
14×associate-*r*_binary64
9×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
5×associate-*l*_binary64
3×add-log-exp_binary64 sqrt-prod_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
3 → 83
Calls

6 calls:

25.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
14.0ms
(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
10.0ms
(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
0.0ms
(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))

series243.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

113.0ms
(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
97.0ms
(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
33.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
Compiler

Compiled 252 to 252 computations (0% saved)

simplify88.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
048951187
148951187

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

27.5b
(sqrt.f64 (*.f64 (+.f64 x x) x))
27.5b
(sqrt.f64 (*.f64 (+.f64 x x) x))

rewrite6.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×sqrt-pow1_binary64 sqrt-div_binary64 associate-*l/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64 flip-+_binary64
Counts
1 → 13
Calls

2 calls:

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

series27.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(sqrt.f64 (*.f64 (+.f64 x x) x))
Compiler

Compiled 28 to 28 computations (0% saved)

simplify82.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04914140
14914140

localize7.0ms (0%)

Local error

Found 8 expressions with local error:

1.0b
(cbrt.f64 2)
1.0b
(cbrt.f64 2)
0.3b
(*.f64 (*.f64 x (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
0.1b
(*.f64 x (fabs.f64 (cbrt.f64 2)))
0.1b
(*.f64 x (fabs.f64 (cbrt.f64 2)))
0.3b
(*.f64 (*.f64 x (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
1.0b
(cbrt.f64 2)
1.0b
(cbrt.f64 2)

rewrite16.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×cbrt-prod_binary64
6×sqrt-prod_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
2×pow1/3_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
4 → 64
Calls

8 calls:

7.0ms
(*.f64 (*.f64 x (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
3.0ms
(*.f64 x (fabs.f64 (cbrt.f64 2)))
1.0ms
(cbrt.f64 2)
1.0ms
(cbrt.f64 2)
0.0ms
(*.f64 x (fabs.f64 (cbrt.f64 2)))

series88.0ms (0.4%)

Counts
4 → 6
Calls

4 calls:

63.0ms
(*.f64 (*.f64 x (fabs.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 2)))
25.0ms
(*.f64 x (fabs.f64 (cbrt.f64 2)))
0.0ms
(cbrt.f64 2)
0.0ms
(cbrt.f64 2)
Compiler

Compiled 108 to 108 computations (0% saved)

simplify63.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05059799

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.5b
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)
0.1b
(*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2))
0.1b
(*.f64 x (cbrt.f64 x))
0.0b
(*.f64 2 (*.f64 x (cbrt.f64 x)))
0.5b
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 (neg.f64 x))
27.5b
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)))

rewrite19.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
13×cbrt-prod_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
8×pow1_binary64
7×add-exp-log_binary64
4×add-log-exp_binary64 pow1/3_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64 pow-pow_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
2×pow-prod-down_binary64 pow-exp_binary64
1×pow-to-exp_binary64 pow1/2_binary64 unpow2_binary64 neg-mul-1_binary64 sqr-pow_binary64 sqrt-pow1_binary64 unpow-prod-down_binary64 prod-exp_binary64 sqrt-prod_binary64
Counts
4 → 58
Calls

8 calls:

7.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)))
5.0ms
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)
2.0ms
(cbrt.f64 (neg.f64 x))
1.0ms
(cbrt.f64 x)
0.0ms
(*.f64 2 (*.f64 x (cbrt.f64 x)))

series374.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

128.0ms
(pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)
91.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2)))
82.0ms
(cbrt.f64 (neg.f64 x))
72.0ms
(cbrt.f64 x)
Compiler

Compiled 390 to 354 computations (9.2% saved)

simplify77.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04891794
14891794

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x)))
0.1b
(*.f64 (*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x))))) (pow.f64 (cbrt.f64 x) 2))
0.1b
(*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x))))
0.0b
(*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x)))))
0.5b
(cbrt.f64 x)
0.6b
(cbrt.f64 (cbrt.f64 x))
2.3b
(pow.f64 (cbrt.f64 x) 2/3)
13.8b
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x))))) (pow.f64 (cbrt.f64 x) 2)))

rewrite20.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
15×cbrt-prod_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×pow1_binary64 unpow-prod-down_binary64
5×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64 pow1/3_binary64
2×pow-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64
Counts
4 → 56
Calls

8 calls:

10.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x))))) (pow.f64 (cbrt.f64 x) 2)))
3.0ms
(pow.f64 (cbrt.f64 x) 2/3)
2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
0.0ms
(*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x)))))

series368.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

145.0ms
(pow.f64 (cbrt.f64 x) 2/3)
95.0ms
(cbrt.f64 (cbrt.f64 x))
73.0ms
(cbrt.f64 x)
55.0ms
(sqrt.f64 (*.f64 (*.f64 2 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 x) 2/3) (cbrt.f64 (cbrt.f64 x))))) (pow.f64 (cbrt.f64 x) 2)))
Compiler

Compiled 412 to 340 computations (17.5% saved)

simplify73.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04944543
14944543

prune4.6s (20.4%)

Pruning

250 alts after pruning (235 fresh and 15 done)

PrunedKeptTotal
New214102316
Fresh14133147
Picked000
Done01515
Total228250478
Error
0b
Counts
478 → 250
Compiler

Compiled 3827 to 2777 computations (27.4% saved)

simplify200.0ms (0.9%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0523711957

regimes2.4s (10.8%)

Compiler

Compiled 20779 to 17492 computations (15.8% saved)

bsearch0.0ms (0%)

regimes1.6s (7%)

Compiler

Compiled 14083 to 11856 computations (15.8% saved)

bsearch0.0ms (0%)

regimes1.2s (5.5%)

Compiler

Compiled 10715 to 9016 computations (15.9% saved)

bsearch0.0ms (0%)

regimes956.0ms (4.3%)

Compiler

Compiled 7899 to 6700 computations (15.2% saved)

bsearch0.0ms (0%)

regimes689.0ms (3.1%)

Compiler

Compiled 3515 to 2940 computations (16.4% saved)

bsearch0.0ms (0%)

regimes492.0ms (2.2%)

Compiler

Compiled 3475 to 2900 computations (16.5% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.1%)

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch19.0ms (0.1%)

Steps
ItersRangePoint
11
-2.545738461740407e-290
1.9658603115733064e-305
-1.43388241055396e-310
Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.1%)

Compiler

Compiled 9 to 12 computations (-33.3% saved)

bsearch16.0ms (0.1%)

Steps
ItersRangePoint
10
-2.1355396828630583e-202
-6.130160872703383e-218
-3.489520080313717e-206
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch8.0ms (0%)

Compiler

Compiled 96 to 94 computations (2.1% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073157
173157

end0.0ms (0%)

sample1.2s (5.3%)

Algorithm
1×intervals
Results
285.0ms8000×body128valid
Compiler

Compiled 5369 to 4542 computations (15.4% saved)

Profiling

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