Details

Time bar (total: 3.8s)

analyze176.0ms (4.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918
022
122
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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample28.0ms (0.7%)

Algorithm
intervals
Results
8.0ms180×body128valid
7.0ms41×body1024valid
3.0ms24×body512valid
1.0ms11×body256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0179
1179

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)

rewrite64.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-sqr-sqrt_binary64_1805
19×times-frac_binary64_1789
18×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
13×associate-*r*_binary64_1723
add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
pow1_binary64_1844
associate-/l*_binary64_1728 associate-/r*_binary64_1727 associate-*l*_binary64_1724
div-exp_binary64_1834 add-log-exp_binary64_1822 cbrt-undiv_binary64_1817 div-inv_binary64_1780 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 unswap-sqr_binary64_1751
frac-2neg_binary64_1794 clear-num_binary64_1782 pow-prod-down_binary64_1854 associate-*r/_binary64_1725 *-commutative_binary64_1714
Counts
2 → 59
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 765 to 200 computations (73.9% saved)

series148.0ms (3.9%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

101.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
34.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 326 to 241 computations (26.1% saved)

simplify76.0ms (2%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05130902

prune61.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh000
Picked011
Done000
Total68775
Error
0b
Counts
75 → 7
Compiler

Compiled 885 to 265 computations (70.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))

rewrite68.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_1814
23×add-sqr-sqrt_binary64_1805
15×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
pow1/3_binary64_1865
add-exp-log_binary64_1821 swap-sqr_binary64_1750 associate-*l*_binary64_1724 associate-*r*_binary64_1723
add-log-exp_binary64_1822 add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751
pow-prod-down_binary64_1854 pow-prod-up_binary64_1853 pow-sqr_binary64_1756
pow2_binary64_1864 pow-plus_binary64_1846 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 *-commutative_binary64_1714
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1511 to 315 computations (79.2% saved)

series388.0ms (10.2%)

Error
0b
Counts
4 → 24
Calls

4 calls:

104.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
91.0ms
(cbrt.f64 (sin.f64 y))
85.0ms
(cbrt.f64 (sin.f64 y))
82.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 1220 to 796 computations (34.8% saved)

simplify89.0ms (2.3%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
048671020
148671020

prune78.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done011
Total977104
Error
0b
Counts
104 → 7
Compiler

Compiled 1849 to 572 computations (69.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite66.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_1814
23×add-sqr-sqrt_binary64_1805
15×add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
11×pow1_binary64_1844
pow1/3_binary64_1865
add-exp-log_binary64_1821 swap-sqr_binary64_1750 associate-*l*_binary64_1724 associate-*r*_binary64_1723
add-log-exp_binary64_1822 add-cbrt-cube_binary64_1819 unswap-sqr_binary64_1751
pow-prod-down_binary64_1854 pow-prod-up_binary64_1853 pow-sqr_binary64_1756
pow2_binary64_1864 pow-plus_binary64_1846 prod-exp_binary64_1832 cbrt-unprod_binary64_1816 *-commutative_binary64_1714
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1305 to 363 computations (72.2% saved)

series334.0ms (8.8%)

Error
0b
Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
84.0ms
(cbrt.f64 y)
76.0ms
(cbrt.f64 y)
74.0ms
(cbrt.f64 y)
Compiler

Compiled 555 to 381 computations (31.4% saved)

simplify77.0ms (2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04873548
14873548

prune62.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792
Error
0b
Counts
92 → 7
Compiler

Compiled 1352 to 441 computations (67.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sin.f64 y) x)
7.4b
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-exp-log_binary64_1821 add-cbrt-cube_binary64_1819
add-sqr-sqrt_binary64_1805
add-cube-cbrt_binary64_1818 *-un-lft-identity_binary64_1783
pow1_binary64_1844
times-frac_binary64_1789 associate-/r*_binary64_1727 associate-*l*_binary64_1724 associate-*r*_binary64_1723
prod-exp_binary64_1832 div-exp_binary64_1834 add-log-exp_binary64_1822 cbrt-undiv_binary64_1817 cbrt-unprod_binary64_1816
frac-2neg_binary64_1794 clear-num_binary64_1782 div-inv_binary64_1780 associate-/l*_binary64_1728 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751 *-commutative_binary64_1714
Counts
2 → 39
Calls

2 calls:

5.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
4.0ms
(*.f64 (sin.f64 y) x)
Compiler

Compiled 445 to 131 computations (70.6% saved)

series188.0ms (5%)

Error
0b
Counts
2 → 18
Calls

2 calls:

110.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
69.0ms
(*.f64 (sin.f64 y) x)
Compiler

Compiled 420 to 278 computations (33.8% saved)

simplify67.0ms (1.8%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04943606
14943606

prune30.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New56157
Fresh123
Picked011
Done033
Total57764
Error
0b
Counts
64 → 7
Compiler

Compiled 545 to 176 computations (67.7% saved)

regimes262.0ms (6.9%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 2024 to 1406 computations (30.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.5s (38.7%)

Algorithm
intervals
Results
254.0ms1282×body1024valid
239.0ms5437×body128valid
110.0ms825×body512valid
40.0ms455×body256valid
0.0msbody2048valid
Compiler

Compiled 513 to 358 computations (30.2% saved)

Profiling

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