Details

Time bar (total: 3.3s)

analyze6.0ms (0.2%)

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

Compiled 26 to 22 computations (15.4% saved)

sample49.0ms (1.5%)

Algorithm
1×intervals
Results
19.0ms256×pre128true
13.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify277.0ms (8.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
013613
113613

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.5b
(+.f64 b (+.f64 c d))
2.8b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite30.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×add-log-exp_binary64_2135 *-un-lft-identity_binary64_2099
9×distribute-lft-out_binary64_2052 sum-log_binary64_2187
2×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:

15.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
11.0ms
(+.f64 b (+.f64 c d))

series141.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

93.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
48.0ms
(+.f64 b (+.f64 c d))

simplify96.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04888450
14888450

prune81.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.4b

Counts
39 → 7
Compiler

Compiled 633 to 259 computations (59.1% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

2.8b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite20.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
10×add-log-exp_binary64_2135 *-un-lft-identity_binary64_2099
6×distribute-lft-out_binary64_2052 sum-log_binary64_2187
1×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:

18.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series97.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

96.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify87.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05445266

prune47.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh336
Picked011
Done000
Total171027

Merged error: 2.1b

Counts
27 → 10
Compiler

Compiled 474 to 208 computations (56.1% saved)

localize17.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.5b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.8b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite46.0ms (1.4%)

Algorithm
1×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
6×unpow-prod-down_binary64_2175 cube-prod_binary64_2124 sum-log_binary64_2187
5×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131
2×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
1×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:

19.0ms
(+.f64 a (+.f64 d (+.f64 b c)))
18.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))

series212.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

116.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
95.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify87.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05043819

prune95.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh718
Picked101
Done011
Total57562

Merged error: 0.4b

Counts
62 → 5
Compiler

Compiled 933 to 375 computations (59.8% saved)

localize19.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite30.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2099
20×cbrt-prod_binary64_2127
16×distribute-lft-out_binary64_2052
7×unpow-prod-down_binary64_2175 cube-prod_binary64_2124
6×cbrt-div_binary64_2128 cube-div_binary64_2125
5×flip3-+_binary64_2102 flip-+_binary64_2073
4×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 frac-add_binary64_2107
1×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:

22.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series137.0ms (4.1%)

Counts
1 → 3
Calls

1 calls:

137.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify92.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04992818
14992818

prune80.0ms (2.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh303
Picked101
Done101
Total42143

Merged error: 0b

Counts
43 → 1
Compiler

Compiled 709 to 258 computations (63.6% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample1.6s (46.8%)

Algorithm
1×intervals
Results
616.0ms8000×pre128true
416.0ms8000×body128valid
Compiler

Compiled 55 to 55 computations (0% saved)

Profiling

Loading profile data...