Details

Time bar (total: 1.9s)

analyze93.0ms (4.9%)

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
37.5%62.4%0.1%5
56.2%43.7%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
74.9%15.6%9.5%9
79.6%10.9%9.5%10
81.2%7.8%11%11
83.5%5.5%11%12
84.3%3.9%11.8%13
85.5%2.7%11.8%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample17.0ms (0.9%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify167.0ms (8.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
01287
11287

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_7261
*-un-lft-identity_binary64_7239
cancel-sign-sub-inv_binary64_7205 associate-*r*_binary64_7179
add-cube-cbrt_binary64_7274
distribute-lft-in_binary64_7188 distribute-rgt-in_binary64_7189
add-exp-log_binary64_7277 pow1_binary64_7300 add-cbrt-cube_binary64_7275 associate-*l*_binary64_7180
associate-*r/_binary64_7181 difference-of-squares_binary64_7208 sub-neg_binary64_7232
flip3--_binary64_7243 add-log-exp_binary64_7278 cbrt-unprod_binary64_7272 pow-prod-down_binary64_7310 flip--_binary64_7214 unswap-sqr_binary64_7207 *-commutative_binary64_7170 prod-exp_binary64_7288 distribute-lft-out--_binary64_7191
Counts
1 → 31
Calls

1 calls:

19.0ms
(*.f64 x (-.f64 1 y))

series41.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

41.0ms
(*.f64 x (-.f64 1 y))

simplify64.0ms (3.3%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04993291
14993291

prune38.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New32234
Fresh000
Picked101
Done000
Total33235

Merged error: 0b

Counts
35 → 2
Compiler

Compiled 309 to 181 computations (41.4% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7278
flip-+_binary64_7213 flip3-+_binary64_7242 add-exp-log_binary64_7277 *-un-lft-identity_binary64_7239 distribute-rgt-neg-out_binary64_7199 unsub-neg_binary64_7233 +-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 → 12
Calls

1 calls:

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

series44.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

44.0ms
(+.f64 x (*.f64 x (neg.f64 y)))

simplify165.0ms (8.7%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
05836154

prune19.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15015
Fresh011
Picked011
Done000
Total15217

Merged error: 0b

Counts
17 → 2
Compiler

Compiled 151 to 57 computations (62.3% saved)

localize14.0ms (0.7%)

Local error

Found 2 expressions with local error:

5.0b
(*.f64 x (-.f64 1 (*.f64 y y)))
6.7b
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))

rewrite38.0ms (2%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_7239
add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275 add-sqr-sqrt_binary64_7261
add-cube-cbrt_binary64_7274
associate-*r*_binary64_7179
associate-*r/_binary64_7181 associate-/r*_binary64_7183 pow1_binary64_7300 times-frac_binary64_7245
associate-*l*_binary64_7180
flip3--_binary64_7243 add-log-exp_binary64_7278 distribute-lft-in_binary64_7188 cbrt-unprod_binary64_7272 distribute-rgt-in_binary64_7189 flip--_binary64_7214 associate-/l/_binary64_7186 prod-exp_binary64_7288 associate-/r/_binary64_7185 cbrt-undiv_binary64_7273 div-exp_binary64_7290 cancel-sign-sub-inv_binary64_7205 difference-of-squares_binary64_7208 distribute-lft-out_binary64_7190 sub-neg_binary64_7232
flip-+_binary64_7213 flip3-+_binary64_7242 pow-prod-down_binary64_7310 frac-2neg_binary64_7250 unswap-sqr_binary64_7207 *-commutative_binary64_7170 associate-/l*_binary64_7184 div-inv_binary64_7236 clear-num_binary64_7238
Counts
2 → 53
Calls

2 calls:

18.0ms
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
13.0ms
(*.f64 x (-.f64 1 (*.f64 y y)))

series213.0ms (11.2%)

Counts
2 → 6
Calls

2 calls:

126.0ms
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
87.0ms
(*.f64 x (-.f64 1 (*.f64 y y)))

simplify111.0ms (5.8%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
05475819

prune83.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done011
Total59261

Merged error: 0b

Counts
61 → 2
Compiler

Compiled 887 to 515 computations (41.9% saved)

regimes74.0ms (3.9%)

Compiler

Compiled 128 to 118 computations (7.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample666.0ms (35.1%)

Algorithm
intervals
Results
279.0ms8000×body128valid
3.0ms80×body128invalid
Compiler

Compiled 38 to 36 computations (5.3% saved)

Profiling

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