Details

Time bar (total: 2.3s)

analyze162.0ms (7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05620
15620
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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify8.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03910
13910

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 23 to 19 computations (17.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x (+.f64 x y)))
0.0b
(*.f64 x (+.f64 x y))

rewrite51.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
9×pow1_binary64_15825 add-exp-log_binary64_15802 add-cbrt-cube_binary64_15800
7×add-sqr-sqrt_binary64_15786 *-un-lft-identity_binary64_15764
6×associate-*r/_binary64_15706 associate-*l*_binary64_15705
5×add-cube-cbrt_binary64_15799 distribute-rgt-in_binary64_15714 distribute-lft-in_binary64_15713 associate-*r*_binary64_15704
4×pow-prod-down_binary64_15835 prod-exp_binary64_15813 cbrt-unprod_binary64_15797
2×add-log-exp_binary64_15803 flip3-+_binary64_15767 flip-+_binary64_15738 *-commutative_binary64_15695
1×unswap-sqr_binary64_15732 distribute-lft-out_binary64_15715
Counts
2 → 47
Calls

2 calls:

10.0ms
(*.f64 x (+.f64 x y))
7.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
Compiler

Compiled 615 to 250 computations (59.3% saved)

series173.0ms (7.5%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

92.0ms
(*.f64 2 (*.f64 x (+.f64 x y)))
66.0ms
(*.f64 x (+.f64 x y))
Compiler

Compiled 480 to 393 computations (18.1% saved)

simplify105.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04967681
14967681

prune45.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh011
Picked101
Done000
Total70373
Error
0b
Counts
73 → 3
Compiler

Compiled 719 to 316 computations (56.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
0.0b
(+.f64 (*.f64 x x) (*.f64 x y))

rewrite37.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×add-sqr-sqrt_binary64_15786
4×add-log-exp_binary64_15803 pow1_binary64_15825 add-exp-log_binary64_15802 add-cbrt-cube_binary64_15800 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764 associate-*r*_binary64_15704
3×associate-*l*_binary64_15705
2×flip3-+_binary64_15767 flip-+_binary64_15738 distribute-lft-out_binary64_15715 associate-*r/_binary64_15706
1×sum-log_binary64_15855 +-commutative_binary64_15694 pow-prod-down_binary64_15835 prod-exp_binary64_15813 cbrt-unprod_binary64_15797 unswap-sqr_binary64_15732 distribute-rgt-in_binary64_15714 distribute-lft-in_binary64_15713 *-commutative_binary64_15695
Counts
2 → 35
Calls

2 calls:

7.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 608 to 186 computations (69.4% saved)

series189.0ms (8.1%)

Error
0b
Counts
2 → 24
Calls

2 calls:

94.0ms
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y)))
81.0ms
(+.f64 (*.f64 x x) (*.f64 x y))
Compiler

Compiled 480 to 393 computations (18.1% saved)

simplify78.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04981610
14981610

prune32.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done000
Total59362
Error
0b
Counts
62 → 3
Compiler

Compiled 639 to 269 computations (57.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (*.f64 2 (+.f64 x y)))

rewrite25.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×pow1_binary64_15825 add-exp-log_binary64_15802 add-cbrt-cube_binary64_15800
4×distribute-rgt-in_binary64_15714 distribute-lft-in_binary64_15713 associate-*r/_binary64_15706
3×pow-prod-down_binary64_15835 prod-exp_binary64_15813 cbrt-unprod_binary64_15797 associate-*l*_binary64_15705
2×add-cube-cbrt_binary64_15799 add-sqr-sqrt_binary64_15786 *-un-lft-identity_binary64_15764
1×add-log-exp_binary64_15803 flip3-+_binary64_15767 flip-+_binary64_15738 associate-*r*_binary64_15704 *-commutative_binary64_15695
Counts
1 → 24
Calls

1 calls:

7.0ms
(*.f64 x (*.f64 2 (+.f64 x y)))
Compiler

Compiled 320 to 171 computations (46.6% saved)

series96.0ms (4.1%)

Error
0b
Counts
1 → 12
Calls

1 calls:

89.0ms
(*.f64 x (*.f64 2 (+.f64 x y)))
Compiler

Compiled 258 to 216 computations (16.3% saved)

simplify53.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05062397

prune19.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh011
Picked011
Done011
Total36339
Error
0b
Counts
39 → 3
Compiler

Compiled 361 to 165 computations (54.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite64.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_15795
23×add-sqr-sqrt_binary64_15786
15×add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
11×pow1_binary64_15825
9×pow1/3_binary64_15846
6×add-exp-log_binary64_15802 swap-sqr_binary64_15731 associate-*l*_binary64_15705 associate-*r*_binary64_15704
4×add-log-exp_binary64_15803 add-cbrt-cube_binary64_15800 unswap-sqr_binary64_15732
2×pow-prod-down_binary64_15835 pow-prod-up_binary64_15834 pow-sqr_binary64_15737
1×pow2_binary64_15845 pow-plus_binary64_15827 prod-exp_binary64_15813 cbrt-unprod_binary64_15797 *-commutative_binary64_15695
Counts
4 → 73
Calls

4 calls:

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

Compiled 1378 to 390 computations (71.7% saved)

series321.0ms (13.8%)

Error
0b
Counts
4 → 12
Calls

4 calls:

89.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
81.0ms
(cbrt.f64 x)
71.0ms
(cbrt.f64 x)
70.0ms
(cbrt.f64 x)
Compiler

Compiled 591 to 411 computations (30.5% saved)

simplify83.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04873548
14873548

prune59.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388
Error
0b
Counts
88 → 3
Compiler

Compiled 1403 to 468 computations (66.6% saved)

regimes82.0ms (3.6%)

Accuracy

Total 0.0b remaining (75%)

Threshold costs 0.0b (75%)

Compiler

Compiled 548 to 380 computations (30.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample589.0ms (25.4%)

Algorithm
1×intervals
Results
209.0ms8000×body128valid
4.0ms158×body128invalid
Compiler

Compiled 152 to 109 computations (28.3% saved)

Profiling

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