Details

Time bar (total: 3.2s)

analyze393.0ms (12.1%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042340
142340
033
133
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
12.5%87.4%0.1%6
18.7%81.1%0.1%7
37.4%62.4%0.1%8
46.8%46.8%6.4%9
54.6%39%6.4%10
62.8%30.8%6.4%11
66.9%23.6%9.5%12
71.7%18.8%9.5%13
75.3%15.2%9.5%14
Symmetry

sort(x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.7%)

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

Compiled 15 to 18 computations (-20% saved)

simplify16.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
020910
120910

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
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 (*.f64 (*.f64 x 3) y) z)
0.2b
(*.f64 (*.f64 x 3) y)

rewrite43.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×pow1_binary64_21622 add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
4×add-log-exp_binary64_21600 add-cube-cbrt_binary64_21596 add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
3×pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 associate-*r*_binary64_21501 cancel-sign-sub-inv_binary64_21527
1×associate-*l*_binary64_21502 *-commutative_binary64_21492 diff-log_binary64_21653 flip3--_binary64_21565 sub-neg_binary64_21554 flip--_binary64_21536
Counts
2 → 32
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x 3) y)
5.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 436 to 279 computations (36% saved)

series182.0ms (5.6%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

116.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
54.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify76.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04873530
14873530

prune44.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh000
Picked011
Done000
Total53457
Error
0.0b
Counts
57 → 4
Compiler

Compiled 539 to 293 computations (45.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 3 (*.f64 x y)) z)
0.2b
(*.f64 3 (*.f64 x y))

rewrite39.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
7×pow1_binary64_21622 add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
4×add-log-exp_binary64_21600 add-cube-cbrt_binary64_21596 add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
3×pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 associate-*l*_binary64_21502 cancel-sign-sub-inv_binary64_21527
1×associate-*r*_binary64_21501 *-commutative_binary64_21492 diff-log_binary64_21653 flip3--_binary64_21565 sub-neg_binary64_21554 flip--_binary64_21536
Counts
2 → 32
Calls

2 calls:

5.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
5.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 436 to 243 computations (44.3% saved)

series187.0ms (5.8%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

122.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
55.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify81.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04861528
14861528

prune35.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh112
Picked011
Done011
Total56460
Error
0b
Counts
60 → 4
Compiler

Compiled 526 to 279 computations (47% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(*.f64 x (*.f64 3 y))

rewrite35.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
7×pow1_binary64_21622 add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
4×add-log-exp_binary64_21600 add-cube-cbrt_binary64_21596 add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
3×pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594 associate-*l*_binary64_21502 cancel-sign-sub-inv_binary64_21527
1×associate-*r*_binary64_21501 *-commutative_binary64_21492 diff-log_binary64_21653 flip3--_binary64_21565 sub-neg_binary64_21554 flip--_binary64_21536
Counts
2 → 32
Calls

2 calls:

6.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
5.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 436 to 279 computations (36% saved)

series189.0ms (5.8%)

Error
0b
Counts
2 → 24
Calls

2 calls:

122.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
57.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify68.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04977528
14977528

prune34.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done022
Total56460
Error
0b
Counts
60 → 4
Compiler

Compiled 519 to 278 computations (46.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))) z)
0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 x y) (cbrt.f64 3))

rewrite114.0ms (3.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
29×pow1_binary64_21622 add-exp-log_binary64_21599
18×pow-prod-down_binary64_21632 prod-exp_binary64_21610 cbrt-unprod_binary64_21594
17×add-cbrt-cube_binary64_21597
7×associate-*r*_binary64_21501
6×add-cube-cbrt_binary64_21596 add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
5×add-log-exp_binary64_21600
3×cbrt-prod_binary64_21592 cancel-sign-sub-inv_binary64_21527
2×associate-*l*_binary64_21502 *-commutative_binary64_21492
1×diff-log_binary64_21653 flip3--_binary64_21565 sub-neg_binary64_21554 flip--_binary64_21536
Counts
3 → 63
Calls

3 calls:

13.0ms
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))) z)
12.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
6.0ms
(*.f64 (*.f64 x y) (cbrt.f64 3))
Compiler

Compiled 1388 to 1006 computations (27.5% saved)

series551.0ms (17%)

Error
0b
Counts
3 → 30
Calls

3 calls:

271.0ms
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))) z)
162.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
99.0ms
(*.f64 (*.f64 x y) (cbrt.f64 3))
Compiler

Compiled 806 to 745 computations (7.6% saved)

simplify104.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04893909
14893909

prune74.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done033
Total93497
Error
0b
Counts
97 → 4
Compiler

Compiled 1123 to 796 computations (29.1% saved)

regimes198.0ms (6.1%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 1317 to 1255 computations (4.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02010
12010
Removed

((sort x y))

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample721.0ms (22.2%)

Algorithm
1×intervals
Results
189.0ms8000×body128valid
6.0ms287×body128invalid
Compiler

Compiled 208 to 199 computations (4.3% saved)

Profiling

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