Details

Time bar (total: 3.6s)

analyze195.0ms (5.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06726
16726
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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample21.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03913
13913

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.1b
(*.f64 y (*.f64 y 3))

rewrite39.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_13097 add-exp-log_binary64_13074 add-cbrt-cube_binary64_13072
add-log-exp_binary64_13075
pow-prod-down_binary64_13107 prod-exp_binary64_13085 add-cube-cbrt_binary64_13071 cbrt-unprod_binary64_13069 add-sqr-sqrt_binary64_13058 *-un-lft-identity_binary64_13036 associate-*l*_binary64_12977
associate-*r*_binary64_12976 *-commutative_binary64_12967 sum-log_binary64_13127 flip3-+_binary64_13039 flip-+_binary64_13010 +-commutative_binary64_12966
Counts
2 → 29
Calls

2 calls:

6.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
5.0ms
(*.f64 y (*.f64 y 3))
Compiler

Compiled 476 to 252 computations (47.1% saved)

series184.0ms (5.2%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

151.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
22.0ms
(*.f64 y (*.f64 y 3))
Compiler

Compiled 291 to 264 computations (9.3% saved)

simplify74.0ms (2.1%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04949482
14949482

prune35.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New41344
Fresh101
Picked011
Done000
Total42446
Error
0.0b
Counts
46 → 4
Compiler

Compiled 550 to 269 computations (51.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 3 (*.f64 y y)))
0.2b
(*.f64 3 (*.f64 y y))

rewrite40.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_13097 add-exp-log_binary64_13074 add-cbrt-cube_binary64_13072
add-log-exp_binary64_13075 add-sqr-sqrt_binary64_13058
pow-prod-down_binary64_13107 prod-exp_binary64_13085 add-cube-cbrt_binary64_13071 cbrt-unprod_binary64_13069 *-un-lft-identity_binary64_13036 associate-*l*_binary64_12977
unswap-sqr_binary64_13004 associate-*r*_binary64_12976 *-commutative_binary64_12967 sum-log_binary64_13127 flip3-+_binary64_13039 flip-+_binary64_13010 +-commutative_binary64_12966
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 3 (*.f64 y y))
4.0ms
(+.f64 (*.f64 x x) (*.f64 3 (*.f64 y y)))
Compiler

Compiled 489 to 227 computations (53.6% saved)

series166.0ms (4.7%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

124.0ms
(+.f64 (*.f64 x x) (*.f64 3 (*.f64 y y)))
32.0ms
(*.f64 3 (*.f64 y y))
Compiler

Compiled 291 to 264 computations (9.3% saved)

simplify98.0ms (2.7%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04948496
14948496

prune41.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh022
Picked011
Done011
Total44549
Error
0.0b
Counts
49 → 5
Compiler

Compiled 571 to 283 computations (50.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3))))
0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 y y) (cbrt.f64 3))

rewrite134.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
29×pow1_binary64_13097 add-exp-log_binary64_13074
18×pow-prod-down_binary64_13107 prod-exp_binary64_13085 cbrt-unprod_binary64_13069
17×add-cbrt-cube_binary64_13072
add-sqr-sqrt_binary64_13058 associate-*r*_binary64_12976
add-log-exp_binary64_13075 add-cube-cbrt_binary64_13071 *-un-lft-identity_binary64_13036
cbrt-prod_binary64_13067
unswap-sqr_binary64_13004 associate-*l*_binary64_12977 *-commutative_binary64_12967
sum-log_binary64_13127 flip3-+_binary64_13039 flip-+_binary64_13010 +-commutative_binary64_12966
Counts
3 → 62
Calls

3 calls:

24.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3)))
9.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3))))
7.0ms
(*.f64 (*.f64 y y) (cbrt.f64 3))
Compiler

Compiled 1511 to 993 computations (34.3% saved)

series394.0ms (11.1%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

235.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3))))
84.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 y y) (cbrt.f64 3)))
50.0ms
(*.f64 (*.f64 y y) (cbrt.f64 3))
Compiler

Compiled 534 to 489 computations (8.4% saved)

simplify97.0ms (2.7%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05386849

prune75.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done022
Total80585
Error
0.0b
Counts
85 → 5
Compiler

Compiled 1193 to 704 computations (41% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
18.7b
(cbrt.f64 (*.f64 3 (*.f64 y y)))
18.7b
(cbrt.f64 (*.f64 3 (*.f64 y y)))
18.7b
(cbrt.f64 (*.f64 3 (*.f64 y y)))

rewrite120.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×pow1_binary64_13097
10×add-sqr-sqrt_binary64_13058
pow1/3_binary64_13118
add-cube-cbrt_binary64_13071 *-un-lft-identity_binary64_13036
cbrt-prod_binary64_13067
add-exp-log_binary64_13074
add-log-exp_binary64_13075 add-cbrt-cube_binary64_13072 swap-sqr_binary64_13003 associate-*l*_binary64_12977 associate-*r*_binary64_12976
pow-prod-down_binary64_13107 pow-prod-up_binary64_13106 pow-sqr_binary64_13009
pow2_binary64_13117 pow-plus_binary64_13099 prod-exp_binary64_13085 cbrt-unprod_binary64_13069 unswap-sqr_binary64_13004 *-commutative_binary64_12967
Counts
4 → 58
Calls

4 calls:

11.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
6.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
6.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
5.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 1745 to 948 computations (45.7% saved)

series512.0ms (14.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

155.0ms
(*.f64 (cbrt.f64 (*.f64 3 (*.f64 y y))) (cbrt.f64 (*.f64 3 (*.f64 y y))))
119.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
110.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
110.0ms
(cbrt.f64 (*.f64 3 (*.f64 y y)))
Compiler

Compiled 891 to 658 computations (26.2% saved)

simplify58.0ms (1.6%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04954724
14954724

prune80.0ms (2.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done033
Total70575
Error
0.0b
Counts
75 → 5
Compiler

Compiled 1738 to 937 computations (46.1% saved)

regimes218.0ms (6.1%)

Accuracy

Total 0.1b remaining (94.1%)

Threshold costs 0.1b (94.1%)

Compiler

Compiled 1533 to 1214 computations (20.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample935.0ms (26.3%)

Algorithm
intervals
Results
278.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 304 to 237 computations (22% saved)

Profiling

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