Details

Time bar (total: 3.5s)

analyze170.0ms (4.8%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07520
17520
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
50%50%0.1%6
62.4%31.2%6.3%7
71.8%21.9%6.3%8
76.5%14%9.5%9
80.4%10.1%9.5%10
82.3%6.6%11%11
84.1%4.9%11%12
85%3.2%11.8%13
85.8%2.4%11.8%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample23.0ms (0.7%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
0.0ms3×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04810
14810

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.0b
(*.f64 (-.f64 x 4/29) 3)
0.2b
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)

rewrite81.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_19878
11×*-un-lft-identity_binary64_19856
10×pow1_binary64_19917 add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
7×add-cube-cbrt_binary64_19891
6×associate-*l/_binary64_19799 associate-*l*_binary64_19797 associate-*r*_binary64_19796
5×add-log-exp_binary64_19895
4×pow-prod-down_binary64_19927 prod-exp_binary64_19905 cbrt-unprod_binary64_19889
3×flip3--_binary64_19860 flip--_binary64_19831 cancel-sign-sub-inv_binary64_19822
2×*-commutative_binary64_19787 difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
1×unswap-sqr_binary64_19824 diff-log_binary64_19948 sub-neg_binary64_19849
Counts
3 → 58
Calls

3 calls:

12.0ms
(*.f64 (-.f64 x 4/29) 3)
9.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
4.0ms
(-.f64 x 4/29)
Compiler

Compiled 768 to 586 computations (23.7% saved)

series174.0ms (4.9%)

Error
0.1b
Counts
3 → 21
Calls

3 calls:

103.0ms
(*.f64 (*.f64 (-.f64 x 4/29) 3) y)
39.0ms
(*.f64 (-.f64 x 4/29) 3)
19.0ms
(-.f64 x 4/29)
Compiler

Compiled 352 to 305 computations (13.4% saved)

simplify71.0ms (2%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04983680
14983680

prune91.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780
Error
0b
Counts
80 → 7
Compiler

Compiled 871 to 665 computations (23.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 -12/29 (*.f64 3 x))
0.2b
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))

rewrite42.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×add-sqr-sqrt_binary64_19878
4×pow1_binary64_19917 add-exp-log_binary64_19894 add-log-exp_binary64_19895 add-cbrt-cube_binary64_19892 add-cube-cbrt_binary64_19891 *-un-lft-identity_binary64_19856
3×associate-*l*_binary64_19797 associate-*r*_binary64_19796
2×flip3-+_binary64_19859 associate-*r/_binary64_19798 flip-+_binary64_19830
1×pow-prod-down_binary64_19927 prod-exp_binary64_19905 cbrt-unprod_binary64_19889 unswap-sqr_binary64_19824 distribute-rgt-in_binary64_19806 distribute-lft-in_binary64_19805 *-commutative_binary64_19787 sum-log_binary64_19947 +-commutative_binary64_19786
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
3.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 476 to 368 computations (22.7% saved)

series148.0ms (4.2%)

Error
0b
Counts
2 → 15
Calls

2 calls:

105.0ms
(*.f64 y (+.f64 -12/29 (*.f64 3 x)))
36.0ms
(+.f64 -12/29 (*.f64 3 x))
Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify74.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04913512
14913512

prune54.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh246
Picked011
Done000
Total48755
Error
0b
Counts
55 → 7
Compiler

Compiled 575 to 445 computations (22.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x 4/29)
0.2b
(*.f64 (-.f64 x 4/29) (*.f64 y 3))

rewrite54.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
8×add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
7×pow1_binary64_19917 add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
5×associate-*l*_binary64_19797
4×add-log-exp_binary64_19895 add-cube-cbrt_binary64_19891
3×pow-prod-down_binary64_19927 prod-exp_binary64_19905 cbrt-unprod_binary64_19889 cancel-sign-sub-inv_binary64_19822
2×flip3--_binary64_19860 associate-*l/_binary64_19799 flip--_binary64_19831 difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
1×associate-*r*_binary64_19796 *-commutative_binary64_19787 diff-log_binary64_19948 sub-neg_binary64_19849
Counts
2 → 38
Calls

2 calls:

8.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
4.0ms
(-.f64 x 4/29)
Compiler

Compiled 506 to 388 computations (23.3% saved)

series150.0ms (4.3%)

Error
0b
Counts
2 → 15
Calls

2 calls:

115.0ms
(*.f64 (-.f64 x 4/29) (*.f64 y 3))
20.0ms
(-.f64 x 4/29)
Compiler

Compiled 263 to 226 computations (14.1% saved)

simplify90.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04905462
14905462

prune44.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh145
Picked011
Done011
Total53760
Error
0b
Counts
60 → 7
Compiler

Compiled 583 to 447 computations (23.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x 4/29)
0.1b
(*.f64 y (-.f64 x 4/29))
0.3b
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)

rewrite74.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
15×add-sqr-sqrt_binary64_19878
13×*-un-lft-identity_binary64_19856
10×pow1_binary64_19917 add-exp-log_binary64_19894 add-cbrt-cube_binary64_19892
9×add-cube-cbrt_binary64_19891 cancel-sign-sub-inv_binary64_19822
8×associate-*r*_binary64_19796
5×add-log-exp_binary64_19895
4×pow-prod-down_binary64_19927 prod-exp_binary64_19905 cbrt-unprod_binary64_19889 associate-*r/_binary64_19798 associate-*l*_binary64_19797 distribute-rgt-in_binary64_19806 distribute-lft-in_binary64_19805
3×flip3--_binary64_19860 flip--_binary64_19831 sub-neg_binary64_19849
2×associate-*l/_binary64_19799 *-commutative_binary64_19787 difference-of-squares_binary64_19825 distribute-lft-out--_binary64_19808
1×unswap-sqr_binary64_19824 diff-log_binary64_19948
Counts
3 → 66
Calls

3 calls:

8.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
7.0ms
(*.f64 y (-.f64 x 4/29))
4.0ms
(-.f64 x 4/29)
Compiler

Compiled 874 to 652 computations (25.4% saved)

series203.0ms (5.8%)

Error
0b
Counts
3 → 24
Calls

3 calls:

89.0ms
(*.f64 (*.f64 y (-.f64 x 4/29)) 3)
74.0ms
(*.f64 y (-.f64 x 4/29))
18.0ms
(-.f64 x 4/29)
Compiler

Compiled 437 to 369 computations (15.6% saved)

simplify86.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04924765
14924765

prune69.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh224
Picked011
Done022
Total91697
Error
0b
Counts
97 → 6
Compiler

Compiled 876 to 631 computations (28% saved)

regimes382.0ms (10.8%)

Accuracy

Total 0.2b remaining (99.2%)

Threshold costs 0.2b (99.2%)

Compiler

Compiled 2681 to 2474 computations (7.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02210
12210

end0.0ms (0%)

sample1.4s (39.8%)

Algorithm
1×intervals
Results
314.0ms8000×body128valid
3.0ms79×body128invalid
Compiler

Compiled 551 to 510 computations (7.4% saved)

Profiling

Loading profile data...