Details

Time bar (total: 3.3s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 26 to 22 computations (15.4% saved)

sample25.0ms (0.8%)

Algorithm
intervals
Results
10.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify171.0ms (5.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013613
113613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.9b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×add-log-exp_binary64_2135 *-un-lft-identity_binary64_2099
distribute-lft-out_binary64_2052 sum-log_binary64_2187
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 flip3-+_binary64_2102 add-cbrt-cube_binary64_2132 pow1_binary64_2157 +-commutative_binary64_2031 flip-+_binary64_2073 add-exp-log_binary64_2134 associate-+r+_binary64_2033
Counts
2 → 32
Calls

2 calls:

10.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 b (+.f64 c d))

series78.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
25.0ms
(+.f64 b (+.f64 c d))

simplify56.0ms (1.7%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04888450
14888450

prune40.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New32638
Fresh000
Picked101
Done000
Total33639

Merged error: 2.4b

Counts
39 → 6
Compiler

Compiled 614 to 248 computations (59.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.9b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64_2135 *-un-lft-identity_binary64_2099
distribute-lft-out_binary64_2052 sum-log_binary64_2187
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 flip3-+_binary64_2102 add-cbrt-cube_binary64_2132 pow1_binary64_2157 +-commutative_binary64_2031 flip-+_binary64_2073 add-exp-log_binary64_2134 associate-+r+_binary64_2033
Counts
1 → 17
Calls

1 calls:

9.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series55.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify48.0ms (1.5%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05445266

prune25.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh235
Picked011
Done000
Total161026

Merged error: 2.2b

Counts
26 → 10
Compiler

Compiled 474 to 208 computations (56.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.9b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2099
18×distribute-lft-out_binary64_2052 cbrt-prod_binary64_2127
11×add-log-exp_binary64_2135
unpow-prod-down_binary64_2175 cube-prod_binary64_2124 sum-log_binary64_2187
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131
cbrt-div_binary64_2128 flip3-+_binary64_2102 add-cbrt-cube_binary64_2132 pow1_binary64_2157 cube-div_binary64_2125 flip-+_binary64_2073 add-exp-log_binary64_2134
sqr-pow_binary64_2071 pow1/3_binary64_2178 unpow3_binary64_2162 +-commutative_binary64_2031 rem-cbrt-cube_binary64_2122 cube-mult_binary64_2126 associate-+r+_binary64_2033
Counts
2 → 46
Calls

2 calls:

11.0ms
(+.f64 a (+.f64 d (+.f64 b c)))
10.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))

series121.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
52.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify48.0ms (1.4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05043819

prune52.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh628
Picked101
Done011
Total55762

Merged error: 0.4b

Counts
62 → 7
Compiler

Compiled 969 to 397 computations (59% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2099
20×cbrt-prod_binary64_2127
16×distribute-lft-out_binary64_2052
unpow-prod-down_binary64_2175 cube-prod_binary64_2124
cbrt-div_binary64_2128 cube-div_binary64_2125
flip3-+_binary64_2102 flip-+_binary64_2073
add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 frac-add_binary64_2107
sqr-pow_binary64_2071 pow1/3_binary64_2178 add-cbrt-cube_binary64_2132 pow1_binary64_2157 unpow3_binary64_2162 add-log-exp_binary64_2135 rem-cbrt-cube_binary64_2122 cube-mult_binary64_2126 add-exp-log_binary64_2134
Counts
1 → 35
Calls

1 calls:

11.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series71.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

70.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify51.0ms (1.5%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04992818
14992818

prune42.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh505
Picked101
Done101
Total44145

Merged error: 0b

Counts
45 → 1
Compiler

Compiled 700 to 249 computations (64.4% saved)

regimes842.0ms (25.5%)

Compiler

Compiled 7893 to 5346 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample1.5s (44.4%)

Algorithm
intervals
Results
314.0ms8000×pre128true
215.0ms8000×body128valid
Compiler

Compiled 951 to 650 computations (31.7% saved)

Profiling

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