Details

Time bar (total: 4.5s)

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)

sample31.0ms (0.7%)

Algorithm
intervals
Results
11.0ms256×body128valid
11.0ms256×pre128true
Compiler

Compiled 35 to 35 computations (0% saved)

simplify227.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
013613
113613

prune7.0ms (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))
2.9b
(+.f64 a (+.f64 b (+.f64 c d)))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity_binary64_3147 add-log-exp_binary64_3186
distribute-lft-out_binary64_3098 sum-log_binary64_3238
add-exp-log_binary64_3185 flip-+_binary64_3121 add-cbrt-cube_binary64_3183 flip3-+_binary64_3150 add-sqr-sqrt_binary64_3169 pow1_binary64_3208 +-commutative_binary64_3077 associate-+r+_binary64_3079 add-cube-cbrt_binary64_3182
Counts
2 → 32
Calls

2 calls:

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

series89.0ms (2%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
31.0ms
(+.f64 b (+.f64 c d))

simplify79.0ms (1.7%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04956450
14956450

prune56.0ms (1.2%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64_3147 add-log-exp_binary64_3186
distribute-lft-out_binary64_3098 sum-log_binary64_3238
add-exp-log_binary64_3185 flip-+_binary64_3121 add-cbrt-cube_binary64_3183 flip3-+_binary64_3150 add-sqr-sqrt_binary64_3169 pow1_binary64_3208 +-commutative_binary64_3077 associate-+r+_binary64_3079 add-cube-cbrt_binary64_3182
Counts
1 → 17
Calls

1 calls:

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

series71.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

71.0ms
(+.f64 a (+.f64 (+.f64 b c) d))

simplify100.0ms (2.2%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
05049266

prune43.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New14620
Fresh336
Picked011
Done000
Total171027

Merged error: 2.2b

Counts
27 → 10
Compiler

Compiled 474 to 208 computations (56.1% saved)

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
2.9b
(+.f64 a (+.f64 d (+.f64 b c)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_3147
18×distribute-lft-out_binary64_3098 cbrt-prod_binary64_3178
11×add-log-exp_binary64_3186
unpow-prod-down_binary64_3226 cube-prod_binary64_3175 sum-log_binary64_3238
add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
cbrt-div_binary64_3179 add-exp-log_binary64_3185 flip-+_binary64_3121 add-cbrt-cube_binary64_3183 flip3-+_binary64_3150 pow1_binary64_3208 cube-div_binary64_3176
rem-cbrt-cube_binary64_3171 pow1/3_binary64_3229 sqr-pow_binary64_3119 +-commutative_binary64_3077 associate-+r+_binary64_3079 cube-mult_binary64_3177 unpow3_binary64_3213
Counts
2 → 46
Calls

2 calls:

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

series149.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

90.0ms
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))
58.0ms
(+.f64 a (+.f64 d (+.f64 b c)))

simplify109.0ms (2.4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04984819
14984819

prune66.0ms (1.5%)

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 977 to 396 computations (59.5% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_3147
20×cbrt-prod_binary64_3178
16×distribute-lft-out_binary64_3098
unpow-prod-down_binary64_3226 cube-prod_binary64_3175
cbrt-div_binary64_3179 cube-div_binary64_3176
flip-+_binary64_3121 flip3-+_binary64_3150
frac-add_binary64_3155 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
rem-cbrt-cube_binary64_3171 pow1/3_binary64_3229 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 sqr-pow_binary64_3119 pow1_binary64_3208 cube-mult_binary64_3177 add-log-exp_binary64_3186 unpow3_binary64_3213
Counts
1 → 35
Calls

1 calls:

12.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

series107.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

107.0ms
(cbrt.f64 (pow.f64 (+.f64 (+.f64 a d) (+.f64 b c)) 3))

simplify87.0ms (1.9%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04982818
14982818

prune61.0ms (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)

regimes1.1s (25.4%)

Compiler

Compiled 7669 to 5266 computations (31.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01918
11918

end0.0ms (0%)

sample2.0s (43.6%)

Algorithm
intervals
Results
429.0ms8000×pre128true
290.0ms8000×body128valid
Compiler

Compiled 926 to 643 computations (30.6% saved)

Profiling

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