Details

Time bar (total: 3.0s)

analyze263.0ms (8.8%)

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
0.0ms13×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify190.0ms (6.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

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: 3.6b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 1 (*.f64 y z))
3.4b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_11109
add-cbrt-cube_binary64_11123 add-log-exp_binary64_11126 add-cube-cbrt_binary64_11122 pow1_binary64_11148 add-exp-log_binary64_11125 *-un-lft-identity_binary64_11087
associate-*l*_binary64_11028 sub-neg_binary64_11080 associate-*r*_binary64_11027 cancel-sign-sub-inv_binary64_11053
flip--_binary64_11062 associate-*r/_binary64_11029 distribute-rgt-in_binary64_11037 distribute-lft-in_binary64_11036 flip3--_binary64_11091
diff-log_binary64_11179 pow-prod-down_binary64_11158 cbrt-unprod_binary64_11120 unswap-sqr_binary64_11055 prod-exp_binary64_11136 *-commutative_binary64_11018
Counts
2 → 36
Calls

2 calls:

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

series142.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))
40.0ms
(-.f64 1 (*.f64 y z))

simplify81.0ms (2.7%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05341485

prune134.0ms (4.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New33942
Fresh000
Picked101
Done000
Total34943

Merged error: 3.5b

Counts
43 → 9
Compiler

Compiled 1963 to 1343 computations (31.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
5.6b
(*.f64 x (neg.f64 (*.f64 y z)))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_11109 associate-*r*_binary64_11027
add-cbrt-cube_binary64_11123 add-log-exp_binary64_11126 add-cube-cbrt_binary64_11122 pow1_binary64_11148 add-exp-log_binary64_11125 *-un-lft-identity_binary64_11087
associate-*l*_binary64_11028
distribute-rgt-neg-out_binary64_11047
distribute-lft-neg-in_binary64_11044 pow-prod-down_binary64_11158 flip-+_binary64_11061 unsub-neg_binary64_11081 cbrt-unprod_binary64_11120 distribute-rgt-neg-in_binary64_11045 +-commutative_binary64_11017 sum-log_binary64_11178 unswap-sqr_binary64_11055 prod-exp_binary64_11136 flip3-+_binary64_11090 *-commutative_binary64_11018 neg-mul-1_binary64_11083
Counts
2 → 34
Calls

2 calls:

6.0ms
(*.f64 x (neg.f64 (*.f64 y z)))
3.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))

series149.0ms (5%)

Counts
2 → 6
Calls

2 calls:

95.0ms
(+.f64 x (*.f64 x (neg.f64 (*.f64 y z))))
53.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify98.0ms (3.3%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04956451
14956451

prune71.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh628
Picked011
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5
Compiler

Compiled 1096 to 537 computations (51% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))
4.7b
(*.f64 (*.f64 x y) (neg.f64 z))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64_11027
add-cbrt-cube_binary64_11123 pow1_binary64_11148 add-exp-log_binary64_11125
add-cube-cbrt_binary64_11122 add-sqr-sqrt_binary64_11109 *-un-lft-identity_binary64_11087
add-log-exp_binary64_11126
distribute-lft-neg-in_binary64_11044 pow-prod-down_binary64_11158 cbrt-unprod_binary64_11120 distribute-rgt-neg-in_binary64_11045 prod-exp_binary64_11136
distribute-rgt-neg-out_binary64_11047
associate-*l*_binary64_11028 flip-+_binary64_11061 unsub-neg_binary64_11081 +-commutative_binary64_11017 sum-log_binary64_11178 flip3-+_binary64_11090 *-commutative_binary64_11018 neg-mul-1_binary64_11083
Counts
2 → 38
Calls

2 calls:

8.0ms
(*.f64 (*.f64 x y) (neg.f64 z))
4.0ms
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))

series151.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

90.0ms
(+.f64 x (*.f64 (*.f64 x y) (neg.f64 z)))
61.0ms
(*.f64 (*.f64 x y) (neg.f64 z))

simplify94.0ms (3.2%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04949485
14949485

prune67.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh033
Picked011
Done011
Total42749

Merged error: 0.0b

Counts
49 → 7
Compiler

Compiled 1049 to 481 computations (54.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.6b
(*.f64 x (neg.f64 (*.f64 y z)))
12.5b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
12.5b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
12.5b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_11109
add-cbrt-cube_binary64_11123 add-cube-cbrt_binary64_11122 pow1_binary64_11148 add-exp-log_binary64_11125 *-un-lft-identity_binary64_11087 associate-*r*_binary64_11027
add-log-exp_binary64_11126
cbrt-prod_binary64_11118 associate-*l*_binary64_11028 pow1/3_binary64_11169
distribute-lft-neg-in_binary64_11044 pow-prod-down_binary64_11158 cbrt-unprod_binary64_11120 distribute-rgt-neg-in_binary64_11045 unswap-sqr_binary64_11055 prod-exp_binary64_11136 distribute-rgt-neg-out_binary64_11047 *-commutative_binary64_11018 neg-mul-1_binary64_11083
Counts
4 → 49
Calls

4 calls:

6.0ms
(*.f64 x (neg.f64 (*.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
4.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
4.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))

series613.0ms (20.5%)

Counts
4 → 12
Calls

4 calls:

193.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
185.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
183.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
51.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify66.0ms (2.2%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05051722

prune60.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New61061
Fresh044
Picked011
Done022
Total61768

Merged error: 0.0b

Counts
68 → 7
Compiler

Compiled 1749 to 289 computations (83.5% saved)

regimes133.0ms (4.5%)

Compiler

Compiled 577 to 399 computations (30.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08840
18840

end0.0ms (0%)

sample554.0ms (18.6%)

Algorithm
intervals
Results
215.0ms8000×body128valid
13.0ms507×body128invalid
Compiler

Compiled 132 to 90 computations (31.8% saved)

Profiling

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