Details

Time bar (total: 4.6s)

analyze647.0ms (14.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms63×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify191.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
040010
140010

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 39 to 37 computations (5.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.8b
(-.f64 (*.f64 x y) (*.f64 z y))
6.4b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_15237
associate-*l*_binary64_15156 add-cbrt-cube_binary64_15251 *-un-lft-identity_binary64_15215 pow1_binary64_15276 add-log-exp_binary64_15254 add-cube-cbrt_binary64_15250 add-exp-log_binary64_15253
associate-*r*_binary64_15155
associate-*l/_binary64_15158 flip3--_binary64_15219 flip--_binary64_15190 distribute-rgt-out--_binary64_15169
sub-neg_binary64_15208 cancel-sign-sub-inv_binary64_15181 unswap-sqr_binary64_15183 cbrt-unprod_binary64_15248 pow-prod-down_binary64_15286 *-commutative_binary64_15146 prod-exp_binary64_15264 diff-log_binary64_15307
Counts
2 → 34
Calls

2 calls:

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

series191.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

129.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
62.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

simplify63.0ms (1.4%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05095477

prune132.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New34640
Fresh011
Picked011
Done000
Total34842

Merged error: 0.0b

Counts
42 → 8
Compiler

Compiled 2365 to 1308 computations (44.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
1.7b
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
5.4b
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite40.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
27×pow1_binary64_15276 add-exp-log_binary64_15253
19×add-cbrt-cube_binary64_15251
16×cbrt-unprod_binary64_15248 pow-prod-down_binary64_15286 prod-exp_binary64_15264
add-sqr-sqrt_binary64_15237 cbrt-prod_binary64_15246 *-un-lft-identity_binary64_15215 add-cube-cbrt_binary64_15250
associate-*r*_binary64_15155
associate-*l/_binary64_15158
associate-*l*_binary64_15156 associate-*r/_binary64_15157 add-log-exp_binary64_15254
pow1/3_binary64_15297 flip3--_binary64_15219 flip--_binary64_15190 *-commutative_binary64_15146
Counts
4 → 74
Calls

4 calls:

17.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
14.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series801.0ms (17.6%)

Counts
4 → 12
Calls

4 calls:

313.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
187.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
151.0ms
(cbrt.f64 t)
149.0ms
(cbrt.f64 t)

simplify52.0ms (1.1%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05157966

prune109.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh246
Picked011
Done011
Total86894

Merged error: 0.0b

Counts
94 → 8
Compiler

Compiled 2051 to 944 computations (54% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
1.7b
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
4.9b
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite39.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64_15276 add-exp-log_binary64_15253
21×add-cbrt-cube_binary64_15251 cbrt-unprod_binary64_15248 pow-prod-down_binary64_15286 prod-exp_binary64_15264
cbrt-prod_binary64_15246
add-sqr-sqrt_binary64_15237 *-un-lft-identity_binary64_15215 add-cube-cbrt_binary64_15250
associate-*r*_binary64_15155
associate-*l/_binary64_15158
associate-*r/_binary64_15157 add-log-exp_binary64_15254
associate-*l*_binary64_15156 pow1/3_binary64_15297 flip3--_binary64_15219 flip--_binary64_15190 *-commutative_binary64_15146
Counts
4 → 78
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
13.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series824.0ms (18.1%)

Counts
4 → 12
Calls

4 calls:

317.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
185.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
165.0ms
(cbrt.f64 t)
157.0ms
(cbrt.f64 t)

simplify51.0ms (1.1%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049531011
149531011

prune82.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh055
Picked011
Done022
Total90898

Merged error: 0.0b

Counts
98 → 8
Compiler

Compiled 1664 to 632 computations (62% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (-.f64 x z))
7.8b
(*.f64 y (*.f64 t (-.f64 x z)))

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in_binary64_15165 distribute-lft-in_binary64_15164
18×cancel-sign-sub-inv_binary64_15181
15×add-sqr-sqrt_binary64_15237
13×*-un-lft-identity_binary64_15215
11×add-cube-cbrt_binary64_15250
add-cbrt-cube_binary64_15251 pow1_binary64_15276 add-exp-log_binary64_15253
associate-*l*_binary64_15156 sub-neg_binary64_15208 associate-*r*_binary64_15155 associate-*r/_binary64_15157
cbrt-unprod_binary64_15248 pow-prod-down_binary64_15286 prod-exp_binary64_15264
flip3--_binary64_15219 flip--_binary64_15190 *-commutative_binary64_15146 add-log-exp_binary64_15254
unswap-sqr_binary64_15183 difference-of-squares_binary64_15184 distribute-lft-out--_binary64_15167
Counts
2 → 66
Calls

2 calls:

9.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
8.0ms
(*.f64 t (-.f64 x z))

series162.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
66.0ms
(*.f64 t (-.f64 x z))

simplify52.0ms (1.1%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04978830
14978830

prune91.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New69372
Fresh224
Picked011
Done123
Total72880

Merged error: 0b

Counts
80 → 8
Compiler

Compiled 1576 to 743 computations (52.9% saved)

regimes190.0ms (4.2%)

Compiler

Compiled 652 to 548 computations (16% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05663
15663

end0.0ms (0%)

sample748.0ms (16.4%)

Algorithm
intervals
Results
250.0ms8000×body128valid
57.0ms1848×body128invalid
Compiler

Compiled 184 to 130 computations (29.3% saved)

Profiling

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