Details

Time bar (total: 1.6s)

analyze3.0ms (0.2%)

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

Compiled 26 to 22 computations (15.4% saved)

sample29.0ms (1.8%)

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms256×pre80true
Compiler

Compiled 35 to 35 computations (0% saved)

simplify15.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
013613
113613

prune5.0ms (0.3%)

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 (0.4%)

Local error

Found 2 expressions with local error:

0.4b
(+.f64 b (+.f64 c d))
2.7b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite16.0ms (1%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64
Counts
2 → 32
Calls

2 calls:

9.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 b (+.f64 c d))

series14.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
4.0ms
(+.f64 b (+.f64 c d))

simplify68.0ms (4.3%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04925450
14925450

prune45.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.2b

Counts
39 → 7
Compiler

Compiled 632 to 258 computations (59.2% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

2.7b
(+.f64 a (+.f64 (+.f64 b c) d))

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-log-exp_binary64
distribute-lft-out_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64
Counts
1 → 17
Calls

1 calls:

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

series9.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

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

simplify59.0ms (3.7%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05391266

prune37.0ms (2.3%)

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 457 to 207 computations (54.7% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.7b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite19.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
18×distribute-lft-out_binary64 cbrt-prod_binary64
11×add-log-exp_binary64
unpow-prod-down_binary64 cube-prod_binary64 sum-log_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64
cbrt-div_binary64 flip3-+_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64 flip-+_binary64
rem-cbrt-cube_binary64 pow1/3_binary64 sqr-pow_binary64 +-commutative_binary64 associate-+r+_binary64 unpow3_binary64 cube-mult_binary64
Counts
2 → 46
Calls

2 calls:

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

series21.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

13.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
8.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify120.0ms (7.5%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04889805
14889805

prune46.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh628
Picked101
Done011
Total56662

Merged error: 0.4b

Counts
62 → 6
Compiler

Compiled 951 to 381 computations (59.9% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64
20×cbrt-prod_binary64
16×distribute-lft-out_binary64
unpow-prod-down_binary64 cube-prod_binary64
cbrt-div_binary64 cube-div_binary64
flip3-+_binary64 flip-+_binary64
frac-add_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 sqr-pow_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 unpow3_binary64 cube-mult_binary64
Counts
1 → 35
Calls

1 calls:

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

series15.0ms (1%)

Counts
1 → 3
Calls

1 calls:

15.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify42.0ms (2.6%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05283818

prune32.0ms (2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh404
Picked101
Done101
Total43144

Merged error: 0b

Counts
44 → 1
Compiler

Compiled 709 to 258 computations (63.6% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample946.0ms (59.1%)

Algorithm
intervals
Results
299.0ms8000×pre80true
206.0ms8000×body80valid
Compiler

Compiled 55 to 55 computations (0% saved)

Profiling

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