Details

Time bar (total: 3.6s)

analyze492.0ms (13.8%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123752
1123752
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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify37.0ms (1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
054913
154913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.7b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y x) 6)
0.8b
(*.f64 (*.f64 (-.f64 y x) 6) z)

rewrite59.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
9×pow1_binary64_21281 add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256 add-sqr-sqrt_binary64_21242
7×*-un-lft-identity_binary64_21220
6×associate-*l/_binary64_21163 associate-*l*_binary64_21161 associate-*r*_binary64_21160
5×add-cube-cbrt_binary64_21255
4×pow-prod-down_binary64_21291 prod-exp_binary64_21269 cbrt-unprod_binary64_21253
2×add-log-exp_binary64_21259 flip3--_binary64_21224 flip--_binary64_21195 *-commutative_binary64_21151
1×unswap-sqr_binary64_21188 difference-of-squares_binary64_21189 distribute-lft-out--_binary64_21172
Counts
2 → 42
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
7.0ms
(*.f64 (-.f64 y x) 6)
Compiler

Compiled 652 to 330 computations (49.4% saved)

series226.0ms (6.4%)

Error
0.1b
Counts
2 → 27
Calls

2 calls:

138.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
69.0ms
(*.f64 (-.f64 y x) 6)
Compiler

Compiled 687 to 528 computations (23.1% saved)

simplify68.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05262658

prune60.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New62769
Fresh000
Picked011
Done000
Total62870
Error
0.0b
Counts
70 → 8
Compiler

Compiled 906 to 463 computations (48.9% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (-.f64 y x) (*.f64 z 6))

rewrite28.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×pow1_binary64_21281 add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256
5×associate-*l*_binary64_21161
4×add-sqr-sqrt_binary64_21242 *-un-lft-identity_binary64_21220
3×pow-prod-down_binary64_21291 prod-exp_binary64_21269 cbrt-unprod_binary64_21253
2×add-cube-cbrt_binary64_21255 associate-*l/_binary64_21163
1×add-log-exp_binary64_21259 flip3--_binary64_21224 flip--_binary64_21195 difference-of-squares_binary64_21189 distribute-lft-out--_binary64_21172 associate-*r*_binary64_21160 *-commutative_binary64_21151
Counts
1 → 22
Calls

1 calls:

8.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
Compiler

Compiled 350 to 180 computations (48.6% saved)

series130.0ms (3.7%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

121.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
Compiler

Compiled 405 to 300 computations (25.9% saved)

simplify61.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04990398
14990398

prune32.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New35237
Fresh336
Picked011
Done011
Total38745
Error
0.0b
Counts
45 → 7
Compiler

Compiled 497 to 246 computations (50.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 z (-.f64 y x))
0.3b
(*.f64 6 (*.f64 z (-.f64 y x)))

rewrite72.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
20×distribute-rgt-in_binary64_21170 distribute-lft-in_binary64_21169
18×cancel-sign-sub-inv_binary64_21186
15×add-sqr-sqrt_binary64_21242
13×*-un-lft-identity_binary64_21220
11×add-cube-cbrt_binary64_21255
9×pow1_binary64_21281 add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256
6×sub-neg_binary64_21213 associate-*r/_binary64_21162 associate-*l*_binary64_21161 associate-*r*_binary64_21160
4×pow-prod-down_binary64_21291 prod-exp_binary64_21269 cbrt-unprod_binary64_21253
2×add-log-exp_binary64_21259 flip3--_binary64_21224 flip--_binary64_21195 *-commutative_binary64_21151
1×unswap-sqr_binary64_21188 difference-of-squares_binary64_21189 distribute-lft-out--_binary64_21172
Counts
2 → 66
Calls

2 calls:

9.0ms
(*.f64 6 (*.f64 z (-.f64 y x)))
7.0ms
(*.f64 z (-.f64 y x))
Compiler

Compiled 1050 to 442 computations (57.9% saved)

series245.0ms (6.9%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

132.0ms
(*.f64 6 (*.f64 z (-.f64 y x)))
96.0ms
(*.f64 z (-.f64 y x))
Compiler

Compiled 780 to 556 computations (28.7% saved)

simplify56.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05006981

prune63.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh134
Picked101
Done022
Total976103
Error
0.0b
Counts
103 → 6
Compiler

Compiled 1191 to 510 computations (57.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 6 (*.f64 y z)) (*.f64 -6 (*.f64 x z)))
0.3b
(*.f64 6 (*.f64 y z))
0.3b
(*.f64 -6 (*.f64 x z))

rewrite61.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×pow1_binary64_21281 add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256
6×pow-prod-down_binary64_21291 prod-exp_binary64_21269 cbrt-unprod_binary64_21253 associate-*l*_binary64_21161
5×add-log-exp_binary64_21259 add-cube-cbrt_binary64_21255 add-sqr-sqrt_binary64_21242 *-un-lft-identity_binary64_21220
2×associate-*r*_binary64_21160 *-commutative_binary64_21151
1×sum-log_binary64_21311 flip3-+_binary64_21223 flip-+_binary64_21194 +-commutative_binary64_21150
Counts
3 → 47
Calls

3 calls:

6.0ms
(+.f64 (*.f64 6 (*.f64 y z)) (*.f64 -6 (*.f64 x z)))
5.0ms
(*.f64 -6 (*.f64 x z))
5.0ms
(*.f64 6 (*.f64 y z))
Compiler

Compiled 940 to 509 computations (45.9% saved)

series298.0ms (8.4%)

Error
0.0b
Counts
3 → 27
Calls

3 calls:

164.0ms
(+.f64 (*.f64 6 (*.f64 y z)) (*.f64 -6 (*.f64 x z)))
61.0ms
(*.f64 -6 (*.f64 x z))
56.0ms
(*.f64 6 (*.f64 y z))
Compiler

Compiled 891 to 657 computations (26.3% saved)

simplify69.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05193720

prune54.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680
Error
0.0b
Counts
80 → 6
Compiler

Compiled 1065 to 542 computations (49.1% saved)

regimes242.0ms (6.8%)

Accuracy

Total 0.2b remaining (97.8%)

Threshold costs 0.2b (97.8%)

Compiler

Compiled 2284 to 1718 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample1.1s (32.3%)

Algorithm
1×intervals
Results
248.0ms8000×body128valid
17.0ms581×body128invalid
Compiler

Compiled 593 to 449 computations (24.3% saved)

Profiling

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