Details

Time bar (total: 3.0s)

analyze3.0ms (0.1%)

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

Compiled 26 to 22 computations (15.4% saved)

sample24.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify99.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 3.5b

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

rewrite19.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-log-exp_binary64_2163 *-un-lft-identity_binary64_2124
9×sum-log_binary64_2215 distribute-lft-out_binary64_2075
2×pow1_binary64_2185 associate-+r+_binary64_2056 add-cube-cbrt_binary64_2159 +-commutative_binary64_2054 add-sqr-sqrt_binary64_2146 flip3-+_binary64_2127 flip-+_binary64_2098 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
Counts
2 → 32
Calls

2 calls:

12.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
(+.f64 b (+.f64 c d))

series42.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

28.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
14.0ms
(+.f64 b (+.f64 c d))

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04960450
14960450

prune43.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.3b

Counts
39 → 7
Compiler

Compiled 633 to 259 computations (59.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×add-log-exp_binary64_2163 *-un-lft-identity_binary64_2124
6×sum-log_binary64_2215 distribute-lft-out_binary64_2075
1×pow1_binary64_2185 associate-+r+_binary64_2056 add-cube-cbrt_binary64_2159 +-commutative_binary64_2054 add-sqr-sqrt_binary64_2146 flip3-+_binary64_2127 flip-+_binary64_2098 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
Counts
1 → 17
Calls

1 calls:

8.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

series27.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify69.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04925266
14925266

prune27.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh336
Picked011
Done000
Total171027

Merged error: 2.0b

Counts
27 → 10
Compiler

Compiled 474 to 208 computations (56.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.8b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_2124
18×distribute-lft-out_binary64_2075 cbrt-prod_binary64_2155
11×add-log-exp_binary64_2163
6×unpow-prod-down_binary64_2203 sum-log_binary64_2215 cube-prod_binary64_2152
5×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146
2×cbrt-div_binary64_2156 pow1_binary64_2185 flip3-+_binary64_2127 cube-div_binary64_2153 flip-+_binary64_2098 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
1×unpow3_binary64_2190 cube-mult_binary64_2154 rem-cbrt-cube_binary64_2148 associate-+r+_binary64_2056 pow1/3_binary64_2206 sqr-pow_binary64_2096 +-commutative_binary64_2054
Counts
2 → 46
Calls

2 calls:

9.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

series67.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

41.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
27.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify64.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04984819
14984819

prune54.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh628
Picked101
Done011
Total53962

Merged error: 0.4b

Counts
62 → 9
Compiler

Compiled 1009 to 429 computations (57.5% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

rewrite13.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_2124
20×cbrt-prod_binary64_2155
16×distribute-lft-out_binary64_2075
7×unpow-prod-down_binary64_2203 cube-prod_binary64_2152
6×cbrt-div_binary64_2156 cube-div_binary64_2153
5×flip3-+_binary64_2127 flip-+_binary64_2098
4×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 frac-add_binary64_2132
1×unpow3_binary64_2190 cube-mult_binary64_2154 rem-cbrt-cube_binary64_2148 pow1_binary64_2185 add-log-exp_binary64_2163 pow1/3_binary64_2206 sqr-pow_binary64_2096 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
Counts
1 → 35
Calls

1 calls:

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

series42.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify50.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04982818
14982818

prune41.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh707
Picked101
Done101
Total46147

Merged error: 0b

Counts
47 → 1
Compiler

Compiled 700 to 249 computations (64.4% saved)

regimes738.0ms (24.7%)

Compiler

Compiled 7397 to 5106 computations (31% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01918
11918

end0.0ms (0%)

sample1.4s (48.4%)

Algorithm
1×intervals
Results
312.0ms8000×pre128true
211.0ms8000×body128valid
Compiler

Compiled 892 to 623 computations (30.2% saved)

Profiling

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