Details

Time bar (total: 3.1s)

analyze259.0ms (8.4%)

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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify173.0ms (5.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
021210
121210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 y z))
3.2b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7849
add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861 add-cube-cbrt_binary64_7860 add-log-exp_binary64_7864 *-un-lft-identity_binary64_7828
sub-neg_binary64_7821 associate-*l*_binary64_7771 associate-*r*_binary64_7770
associate-*r/_binary64_7772 flip3--_binary64_7832 flip--_binary64_7803
pow-prod-down_binary64_7896 diff-log_binary64_7917 distribute-rgt-in_binary64_7780 distribute-lft-in_binary64_7779 *-commutative_binary64_7761 unswap-sqr_binary64_7796 cbrt-unprod_binary64_7858 prod-exp_binary64_7874
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
3.0ms
(-.f64 1 (*.f64 y z))

series128.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

92.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
36.0ms
(-.f64 1 (*.f64 y z))

simplify45.0ms (1.5%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05302459

prune42.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New291039
Fresh000
Picked101
Done000
Total301040

Merged error: 3.2b

Counts
40 → 10
Compiler

Compiled 596 to 339 computations (43.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
7.7b
(*.f64 x (neg.f64 (*.f64 y z)))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7849 associate-*r*_binary64_7770
add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861 add-cube-cbrt_binary64_7860 add-log-exp_binary64_7864 *-un-lft-identity_binary64_7828
associate-*l*_binary64_7771
distribute-rgt-neg-out_binary64_7790
pow-prod-down_binary64_7896 unsub-neg_binary64_7822 flip3-+_binary64_7831 flip-+_binary64_7802 neg-mul-1_binary64_7824 +-commutative_binary64_7760 *-commutative_binary64_7761 unswap-sqr_binary64_7796 distribute-rgt-neg-in_binary64_7788 cbrt-unprod_binary64_7858 sum-log_binary64_7916 distribute-lft-neg-in_binary64_7787 prod-exp_binary64_7874
Counts
2 → 34
Calls

2 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 y z)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))

series141.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

83.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
57.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify75.0ms (2.4%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04870451
14870451

prune37.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh549
Picked011
Done000
Total42850

Merged error: 0.0b

Counts
50 → 8
Compiler

Compiled 574 to 192 computations (66.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))
4.3b
(*.f64 (*.f64 x y) (neg.f64 z))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64_7770
add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861
add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
add-log-exp_binary64_7864
pow-prod-down_binary64_7896 distribute-rgt-neg-in_binary64_7788 cbrt-unprod_binary64_7858 distribute-lft-neg-in_binary64_7787 prod-exp_binary64_7874
distribute-rgt-neg-out_binary64_7790
unsub-neg_binary64_7822 flip3-+_binary64_7831 flip-+_binary64_7802 neg-mul-1_binary64_7824 +-commutative_binary64_7760 *-commutative_binary64_7761 associate-*l*_binary64_7771 sum-log_binary64_7916
Counts
2 → 38
Calls

2 calls:

7.0ms
(*.f64 (*.f64 x y) (neg.f64 z))
3.0ms
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))

series131.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))
52.0ms
(*.f64 (*.f64 x y) (neg.f64 z))

simplify78.0ms (2.5%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04956485
14956485

prune36.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh066
Picked011
Done011
Total421052

Merged error: 0.0b

Counts
52 → 10
Compiler

Compiled 624 to 204 computations (67.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.2b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))
3.3b
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite39.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64_7863 pow1_binary64_7886
26×add-cbrt-cube_binary64_7861
21×pow-prod-down_binary64_7896 cbrt-unprod_binary64_7858 prod-exp_binary64_7874
17×associate-*r*_binary64_7770
12×cbrt-prod_binary64_7856
11×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
distribute-rgt-neg-in_binary64_7788 distribute-lft-neg-in_binary64_7787
add-log-exp_binary64_7864
pow1/3_binary64_7907 *-commutative_binary64_7761 associate-*l*_binary64_7771
distribute-rgt-neg-out_binary64_7790 neg-mul-1_binary64_7824
Counts
4 → 85
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))
12.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series538.0ms (17.5%)

Counts
4 → 12
Calls

4 calls:

166.0ms
(cbrt.f64 z)
147.0ms
(cbrt.f64 z)
137.0ms
(*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
88.0ms
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (neg.f64 (cbrt.f64 z)))

simplify73.0ms (2.4%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049601026
149601026

prune69.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh077
Picked011
Done022
Total9710107

Merged error: 0.0b

Counts
107 → 10
Compiler

Compiled 1507 to 509 computations (66.2% saved)

regimes365.0ms (11.8%)

Compiler

Compiled 2318 to 1672 computations (27.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08840
18840

end0.0ms (0%)

sample770.0ms (25%)

Algorithm
intervals
Results
208.0ms8000×body128valid
17.0ms555×body128invalid
Compiler

Compiled 343 to 240 computations (30% saved)

Profiling

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