Details

Time bar (total: 3.7s)

analyze309.0ms (8.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0467913
1467913
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.4%13
66.6%0%33.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample12.0ms (0.3%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify180.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (175.0ms)

IterNodesCost
0467913
1467913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite41.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
3×pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 add-sqr-sqrt_binary64_19196 associate-*r*_binary64_19114
2×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174 sub-neg_binary64_19167 distribute-rgt-in_binary64_19124 cancel-sign-sub-inv_binary64_19140 distribute-lft-in_binary64_19123 associate-*r/_binary64_19116
1×add-log-exp_binary64_19213 unswap-sqr_binary64_19142 flip3--_binary64_19178 flip--_binary64_19149 associate-*l*_binary64_19115 *-commutative_binary64_19105
Counts
1 → 25
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 429 to 275 computations (35.9% saved)

series65.0ms (1.8%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

60.0ms
(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 129 to 115 computations (10.9% saved)

simplify76.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05105438

prune45.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New26531
Fresh000
Picked101
Done000
Total27532
Error
0.0b
Counts
32 → 5
Compiler

Compiled 480 to 344 computations (28.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (pow.f64 x 3) -2)
0.0b
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2))
0.2b
(*.f64 3 (*.f64 x x))

rewrite99.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_19196
15×associate-*l*_binary64_19115
13×add-exp-log_binary64_19212
10×add-cbrt-cube_binary64_19210
8×pow1_binary64_19235 add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174
6×prod-exp_binary64_19223
5×add-log-exp_binary64_19213 unswap-sqr_binary64_19142
4×cbrt-unprod_binary64_19207 associate-*r*_binary64_19114 unpow-prod-down_binary64_19253 cube-prod_binary64_19202
3×pow-prod-down_binary64_19245
2×*-commutative_binary64_19105 sqr-pow_binary64_19146
1×sum-log_binary64_19265 flip3-+_binary64_19177 flip-+_binary64_19148 +-commutative_binary64_19104 pow-to-exp_binary64_19243 pow-exp_binary64_19242 unpow3_binary64_19240 cube-mult_binary64_19204
Counts
3 → 61
Calls

3 calls:

6.0ms
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2))
6.0ms
(*.f64 (pow.f64 x 3) -2)
6.0ms
(*.f64 3 (*.f64 x x))
Compiler

Compiled 1100 to 751 computations (31.7% saved)

series158.0ms (4.3%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

82.0ms
(+.f64 (*.f64 3 (*.f64 x x)) (*.f64 (pow.f64 x 3) -2))
35.0ms
(*.f64 3 (*.f64 x x))
31.0ms
(*.f64 (pow.f64 x 3) -2)
Compiler

Compiled 327 to 278 computations (15% saved)

simplify89.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05022755

prune82.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh224
Picked011
Done000
Total73578
Error
0.0b
Counts
78 → 5
Compiler

Compiled 1111 to 769 computations (30.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 3 (*.f64 x 2)))
0.2b
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))

rewrite76.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
10×distribute-rgt-in_binary64_19124 distribute-lft-in_binary64_19123
9×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
7×add-sqr-sqrt_binary64_19196
6×sub-neg_binary64_19167 cancel-sign-sub-inv_binary64_19140 associate-*r/_binary64_19116 associate-*l*_binary64_19115
5×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174
4×pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*r*_binary64_19114
2×add-log-exp_binary64_19213 flip3--_binary64_19178 flip--_binary64_19149 *-commutative_binary64_19105
1×unswap-sqr_binary64_19142
Counts
2 → 52
Calls

2 calls:

7.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))
Compiler

Compiled 844 to 581 computations (31.2% saved)

series146.0ms (4%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

67.0ms
(*.f64 x (-.f64 3 (*.f64 x 2)))
66.0ms
(*.f64 x (*.f64 x (-.f64 3 (*.f64 x 2))))
Compiler

Compiled 266 to 222 computations (16.5% saved)

simplify57.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05104810

prune58.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh213
Picked011
Done011
Total65469
Error
0b
Counts
69 → 4
Compiler

Compiled 835 to 562 computations (32.7% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
0.3b
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
0.4b
(*.f64 x (sqrt.f64 3))
0.4b
(*.f64 x (sqrt.f64 3))

rewrite203.0ms (5.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
47×pow1_binary64_19235
20×add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
19×pow-prod-down_binary64_19245
18×add-sqr-sqrt_binary64_19196
13×associate-*r*_binary64_19114
10×prod-exp_binary64_19223 add-cube-cbrt_binary64_19209 cbrt-unprod_binary64_19207 *-un-lft-identity_binary64_19174
8×sqrt-prod_binary64_19190
7×associate-*l*_binary64_19115
6×add-log-exp_binary64_19213
4×unswap-sqr_binary64_19142 pow-prod-up_binary64_19244 pow-sqr_binary64_19147
3×*-commutative_binary64_19105
2×pow-plus_binary64_19237
1×pow2_binary64_19255 swap-sqr_binary64_19141 sum-log_binary64_19265 flip3-+_binary64_19177 flip-+_binary64_19148 +-commutative_binary64_19104
Counts
4 → 89
Calls

4 calls:

19.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
16.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
10.0ms
(*.f64 x (sqrt.f64 3))
10.0ms
(*.f64 x (sqrt.f64 3))
Compiler

Compiled 1911 to 1543 computations (19.3% saved)

series242.0ms (6.6%)

Error
0b
Counts
4 → 15
Calls

4 calls:

110.0ms
(+.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3))) (*.f64 (pow.f64 x 3) -2))
57.0ms
(*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
33.0ms
(*.f64 x (sqrt.f64 3))
30.0ms
(*.f64 x (sqrt.f64 3))
Compiler

Compiled 558 to 490 computations (12.2% saved)

simplify87.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05057907

prune99.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh011
Picked011
Done022
Total1044108
Error
0b
Counts
108 → 4
Compiler

Compiled 1663 to 1290 computations (22.4% saved)

regimes174.0ms (4.8%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 1551 to 1211 computations (21.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample1.3s (36.2%)

Algorithm
1×intervals
Results
251.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 735 to 579 computations (21.2% saved)

Profiling

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