Details

Time bar (total: 2.6s)

analyze398.0ms (15.4%)

Algorithm
search
Search
TrueOtherFalseIter
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
0%99.9%0.1%5
0%99.9%0.1%6
9.4%90.5%0.1%7
14%85.8%0.1%8
21.1%78%0.9%9
37.3%60.3%2.5%10
39.7%56.1%4.2%11
45.6%48.7%5.7%12
55.9%35.1%8.9%13
57.6%32.1%10.3%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms37×body80invalid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify369.0ms (14.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (360.0ms)

IterNodesCost
0494213
1494213

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.1b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (-.f64 z x))
0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
9.4b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite18.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64
sub-neg_binary64
associate-/r*_binary64 associate-*l*_binary64 associate-/l*_binary64
flip3-+_binary64 associate-/l/_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64 associate-+r+_binary64
pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 66
Calls

3 calls:

7.0ms
(*.f64 y (-.f64 z x))
6.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series29.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
9.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
8.0ms
(*.f64 y (-.f64 z x))

simplify133.0ms (5.2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
049011137
149011137

prune55.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh000
Picked011
Done000
Total69776

Merged error: 10.0b

Counts
76 → 7
Compiler

Compiled 1268 to 293 computations (76.9% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (-.f64 z x))
0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
9.5b
(*.f64 (+.f64 x (*.f64 y (-.f64 z x))) (/.f64 1 z))

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
18×associate-*r*_binary64
16×*-un-lft-identity_binary64
14×add-exp-log_binary64
13×add-cube-cbrt_binary64
11×times-frac_binary64
10×add-cbrt-cube_binary64
pow1_binary64
associate-*l*_binary64
add-log-exp_binary64 prod-exp_binary64
sub-neg_binary64 unswap-sqr_binary64
flip3-+_binary64 cbrt-unprod_binary64 associate-*r/_binary64 flip-+_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 div-exp_binary64 associate-+r+_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
flip3--_binary64 1-exp_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 rec-exp_binary64 un-div-inv_binary64 distribute-lft-out--_binary64 div-inv_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
3 → 77
Calls

3 calls:

9.0ms
(*.f64 (+.f64 x (*.f64 y (-.f64 z x))) (/.f64 1 z))
7.0ms
(*.f64 y (-.f64 z x))
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series26.0ms (1%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(*.f64 (+.f64 x (*.f64 y (-.f64 z x))) (/.f64 1 z))
8.0ms
(*.f64 y (-.f64 z x))
7.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify86.0ms (3.4%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
058991262

prune55.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83386
Fresh325
Picked101
Done101
Total88593

Merged error: 3.8b

Counts
93 → 5
Compiler

Compiled 1488 to 468 computations (68.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)
3.6b
(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 pow1_binary64 flip3--_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 41
Calls

2 calls:

6.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
4.0ms
(-.f64 (*.f64 x y) x)

series14.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
5.0ms
(-.f64 (*.f64 x y) x)

simplify65.0ms (2.5%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05427694

prune31.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh134
Picked011
Done000
Total47552

Merged error: 3.8b

Counts
52 → 5
Compiler

Compiled 791 to 212 computations (73.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

9.5b
(*.f64 (+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x)))) (cbrt.f64 (*.f64 y (-.f64 z x))))) (/.f64 1 z))
11.9b
(cbrt.f64 (*.f64 y (-.f64 z x)))
11.9b
(cbrt.f64 (*.f64 y (-.f64 z x)))
11.9b
(cbrt.f64 (*.f64 y (-.f64 z x)))

rewrite26.0ms (1%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 associate-*r*_binary64 add-exp-log_binary64
12×add-cube-cbrt_binary64
11×times-frac_binary64
add-cbrt-cube_binary64
associate-*r/_binary64
cbrt-div_binary64 pow1_binary64
add-log-exp_binary64 prod-exp_binary64
flip3--_binary64 pow1/3_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip--_binary64 cbrt-prod_binary64
flip3-+_binary64 cbrt-unprod_binary64 div-exp_binary64 flip-+_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

9.0ms
(*.f64 (+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x)))) (cbrt.f64 (*.f64 y (-.f64 z x))))) (/.f64 1 z))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))

series122.0ms (4.7%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))
34.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))
34.0ms
(cbrt.f64 (*.f64 y (-.f64 z x)))
18.0ms
(*.f64 (+.f64 x (*.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x)))) (cbrt.f64 (*.f64 y (-.f64 z x))))) (/.f64 1 z))

simplify94.0ms (3.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049711300
149711300

prune45.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh123
Picked101
Done011
Total86490

Merged error: 0b

Counts
90 → 4
Compiler

Compiled 2148 to 516 computations (76% saved)

regimes95.0ms (3.7%)

Compiler

Compiled 171 to 135 computations (21.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample820.0ms (31.8%)

Algorithm
intervals
Results
236.0ms8000×body80valid
31.0ms1080×body80invalid
Compiler

Compiled 85 to 66 computations (22.4% saved)

Profiling

Loading profile data...