Details

Time bar (total: 2.2s)

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 (1.1%)

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

Compiled 35 to 35 computations (0% saved)

simplify175.0ms (7.8%)

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 (0.3%)

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 (0.8%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_3175 add-log-exp_binary64_3214
distribute-lft-out_binary64_3126 sum-log_binary64_3266
flip-+_binary64_3149 associate-+r+_binary64_3107 add-cbrt-cube_binary64_3211 flip3-+_binary64_3178 add-cube-cbrt_binary64_3210 +-commutative_binary64_3105 add-sqr-sqrt_binary64_3197 add-exp-log_binary64_3213 pow1_binary64_3236
Counts
2 → 32
Calls

2 calls:

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

series82.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
28.0ms
(+.f64 b (+.f64 c d))

simplify54.0ms (2.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04956450
14956450

prune161.0ms (7.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30838
Fresh000
Picked101
Done000
Total31839

Merged error: 2.4b

Counts
39 → 8
Compiler

Compiled 2875 to 1856 computations (35.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_3175 add-log-exp_binary64_3214
distribute-lft-out_binary64_3126 sum-log_binary64_3266
flip-+_binary64_3149 associate-+r+_binary64_3107 add-cbrt-cube_binary64_3211 flip3-+_binary64_3178 add-cube-cbrt_binary64_3210 +-commutative_binary64_3105 add-sqr-sqrt_binary64_3197 add-exp-log_binary64_3213 pow1_binary64_3236
Counts
1 → 17
Calls

1 calls:

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

series50.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify74.0ms (3.3%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05049266

prune90.0ms (4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New13720
Fresh527
Picked011
Done000
Total181028

Merged error: 2.1b

Counts
28 → 10
Compiler

Compiled 1758 to 1071 computations (39.1% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_3175
18×distribute-lft-out_binary64_3126 cbrt-prod_binary64_3206
11×add-log-exp_binary64_3214
unpow-prod-down_binary64_3254 cube-prod_binary64_3203 sum-log_binary64_3266
add-cube-cbrt_binary64_3210 add-sqr-sqrt_binary64_3197
flip-+_binary64_3149 add-cbrt-cube_binary64_3211 flip3-+_binary64_3178 cbrt-div_binary64_3207 cube-div_binary64_3204 add-exp-log_binary64_3213 pow1_binary64_3236
associate-+r+_binary64_3107 unpow3_binary64_3241 sqr-pow_binary64_3147 pow1/3_binary64_3257 rem-cbrt-cube_binary64_3199 +-commutative_binary64_3105 cube-mult_binary64_3205
Counts
2 → 46
Calls

2 calls:

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

series118.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
48.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify69.0ms (3.1%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04984819
14984819

prune150.0ms (6.7%)

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 3048 to 1769 computations (42% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_3175
20×cbrt-prod_binary64_3206
16×distribute-lft-out_binary64_3126
unpow-prod-down_binary64_3254 cube-prod_binary64_3203
cbrt-div_binary64_3207 cube-div_binary64_3204
flip-+_binary64_3149 flip3-+_binary64_3178
frac-add_binary64_3183 add-cube-cbrt_binary64_3210 add-sqr-sqrt_binary64_3197
unpow3_binary64_3241 add-cbrt-cube_binary64_3211 sqr-pow_binary64_3147 pow1/3_binary64_3257 rem-cbrt-cube_binary64_3199 add-exp-log_binary64_3213 pow1_binary64_3236 cube-mult_binary64_3205 add-log-exp_binary64_3214
Counts
1 → 35
Calls

1 calls:

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

series74.0ms (3.3%)

Counts
1 → 3
Calls

1 calls:

74.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify52.0ms (2.3%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04982818
14982818

prune147.0ms (6.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New37138
Fresh505
Picked101
Done101
Total44145

Merged error: 0b

Counts
45 → 1
Compiler

Compiled 2670 to 1628 computations (39% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01413
11413

end0.0ms (0%)

sample816.0ms (36.4%)

Algorithm
intervals
Results
317.0ms8000×pre128true
220.0ms8000×body128valid
Compiler

Compiled 55 to 55 computations (0% saved)

Profiling

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