Details

Time bar (total: 7.5s)

analyze728.0ms (9.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042340
142340
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.1%0.1%7
37.4%62.4%0.1%8
46.8%46.8%6.4%9
54.6%39%6.4%10
62.8%30.8%6.4%11
66.9%23.6%9.5%12
71.7%18.8%9.5%13
75.3%15.2%9.5%14
Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample41.0ms (0.5%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify31.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
020910
120910

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.2b
(*.f64 (*.f64 x 3) y)

rewrite85.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
4×add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
3×pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*r*_binary64_19114 cancel-sign-sub-inv_binary64_19140
1×associate-*l*_binary64_19115 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

11.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
10.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 436 to 279 computations (36% saved)

series317.0ms (4.2%)

Error
0.1b
Counts
2 → 24
Calls

2 calls:

197.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
97.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify142.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (123.0ms)

IterNodesCost
04873530
14873530

prune75.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Error
0.0b
Counts
57 → 5
Compiler

Compiled 560 to 308 computations (45% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(*.f64 x (*.f64 3 y))

rewrite79.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
4×add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
3×pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*l*_binary64_19115 cancel-sign-sub-inv_binary64_19140
1×associate-*r*_binary64_19114 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

21.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
9.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 436 to 279 computations (36% saved)

series333.0ms (4.4%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

221.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
91.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify125.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
04977528
14977528

prune72.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh123
Picked011
Done011
Total56561
Error
0.0b
Counts
61 → 5
Compiler

Compiled 548 to 297 computations (45.8% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 3 (*.f64 x y)) z)
0.3b
(*.f64 3 (*.f64 x y))

rewrite68.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
4×add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
3×pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*l*_binary64_19115 cancel-sign-sub-inv_binary64_19140
1×associate-*r*_binary64_19114 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

11.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
10.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 436 to 243 computations (44.3% saved)

series319.0ms (4.2%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

199.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
101.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify153.0ms (2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
04861528
14861528

prune66.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done022
Total56561
Error
0.0b
Counts
61 → 5
Compiler

Compiled 541 to 284 computations (47.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) (cbrt.f64 (*.f64 3 (*.f64 x y))))
10.5b
(cbrt.f64 (*.f64 3 (*.f64 x y)))
10.5b
(cbrt.f64 (*.f64 3 (*.f64 x y)))
10.5b
(cbrt.f64 (*.f64 3 (*.f64 x y)))

rewrite181.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
11×pow1_binary64_19235
10×add-sqr-sqrt_binary64_19196
9×pow1/3_binary64_19256
8×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174
7×cbrt-prod_binary64_19205
6×add-exp-log_binary64_19212
4×add-log-exp_binary64_19213 add-cbrt-cube_binary64_19210 swap-sqr_binary64_19141 associate-*l*_binary64_19115 associate-*r*_binary64_19114
2×pow-prod-down_binary64_19245 pow-prod-up_binary64_19244 pow-sqr_binary64_19147
1×pow2_binary64_19255 pow-plus_binary64_19237 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 unswap-sqr_binary64_19142 *-commutative_binary64_19105
Counts
4 → 58
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) (cbrt.f64 (*.f64 3 (*.f64 x y))))
7.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
7.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
7.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
Compiler

Compiled 1629 to 948 computations (41.8% saved)

series1.8s (23.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

554.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) (cbrt.f64 (*.f64 3 (*.f64 x y))))
403.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
396.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
371.0ms
(cbrt.f64 (*.f64 3 (*.f64 x y)))
Compiler

Compiled 2022 to 1595 computations (21.1% saved)

simplify174.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (144.0ms)

IterNodesCost
05003910

prune159.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done033
Total82587
Error
0.0b
Counts
87 → 5
Compiler

Compiled 1888 to 1094 computations (42.1% saved)

regimes744.0ms (9.9%)

Accuracy

Total 0.1b remaining (95.8%)

Threshold costs 0.1b (95.8%)

Compiler

Compiled 1623 to 1405 computations (13.4% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02010
12010
Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.8s (23.8%)

Algorithm
1×intervals
Results
357.0ms8000×body128valid
12.0ms291×body128invalid
Compiler

Compiled 259 to 224 computations (13.5% saved)

Profiling

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