Details

Time bar (total: 12.1s)

analyze2.1s (17.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14
Compiler

Compiled 14 to 14 computations (0% saved)

sample47.0ms (0.4%)

Algorithm
intervals
Results
19.0ms256×body128valid
6.0ms80×body128invalid
Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify1.0s (8.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (840.0ms)

IterNodesCost
0416219
1416219

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1
Compiler

Compiled 26 to 26 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 z 9) t)
0.3b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
7.8b
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))

rewrite39.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
pow1_binary64_19917
add-cube-cbrt_binary64_19891 add-sqr-sqrt_binary64_19878 *-un-lft-identity_binary64_19856
add-log-exp_binary64_19895
prod-exp_binary64_19905 cbrt-unprod_binary64_19889
associate-*r*_binary64_19796 pow-prod-down_binary64_19927 times-frac_binary64_19862 associate-/l*_binary64_19801
flip3--_binary64_19860 cbrt-undiv_binary64_19890 div-exp_binary64_19907 associate-/l/_binary64_19803 flip--_binary64_19831
associate-/r*_binary64_19800 *-commutative_binary64_19787 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 div-sub_binary64_19861 clear-num_binary64_19855 div-inv_binary64_19853 frac-2neg_binary64_19867 associate-*l*_binary64_19797
Counts
3 → 54
Calls

3 calls:

14.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))
10.0ms
(*.f64 (*.f64 z 9) t)
8.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))

series248.0ms (2%)

Counts
3 → 9
Calls

3 calls:

126.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))
92.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
30.0ms
(*.f64 (*.f64 z 9) t)

simplify118.0ms (1%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049291034
149291034

prune160.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New511263
Fresh000
Picked101
Done000
Total521264

Merged error: 5.1b

Counts
64 → 12
Compiler

Compiled 1416 to 882 computations (37.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b
(*.f64 9/2 (/.f64 z a))
3.8b
(*.f64 t (*.f64 9/2 (/.f64 z a)))
6.0b
(/.f64 (*.f64 x y) (*.f64 a 2))

rewrite60.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
18×add-sqr-sqrt_binary64_19878
14×associate-*r*_binary64_19796
13×add-cube-cbrt_binary64_19891 *-un-lft-identity_binary64_19856
11×pow1_binary64_19917 prod-exp_binary64_19905 cbrt-unprod_binary64_19889 times-frac_binary64_19862
cbrt-undiv_binary64_19890 div-exp_binary64_19907 add-log-exp_binary64_19895 associate-*l*_binary64_19797
associate-*r/_binary64_19798
pow-prod-down_binary64_19927
unswap-sqr_binary64_19824 *-commutative_binary64_19787 div-inv_binary64_19853
flip3--_binary64_19860 associate-/r*_binary64_19800 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 flip--_binary64_19831 clear-num_binary64_19855 frac-sub_binary64_19865 frac-2neg_binary64_19867 associate-/l*_binary64_19801
Counts
4 → 87
Calls

4 calls:

15.0ms
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
12.0ms
(*.f64 9/2 (/.f64 z a))
11.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
11.0ms
(/.f64 (*.f64 x y) (*.f64 a 2))

series275.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
42.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
37.0ms
(/.f64 (*.f64 x y) (*.f64 a 2))
24.0ms
(*.f64 9/2 (/.f64 z a))

simplify153.0ms (1.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
049751367
149751367

prune211.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh8311
Picked101
Done000
Total9912111

Merged error: 0.0b

Counts
111 → 12
Compiler

Compiled 2154 to 1162 computations (46.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b
(*.f64 9/2 (/.f64 z a))
3.8b
(*.f64 t (*.f64 9/2 (/.f64 z a)))
6.4b
(*.f64 (/.f64 x a) (/.f64 y 2))

rewrite93.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64_19878
32×times-frac_binary64_19862
30×add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
27×add-cube-cbrt_binary64_19891 associate-*r*_binary64_19796 *-un-lft-identity_binary64_19856
19×associate-*l*_binary64_19797
13×pow1_binary64_19917 associate-*r/_binary64_19798
11×prod-exp_binary64_19905 cbrt-unprod_binary64_19889
cbrt-undiv_binary64_19890 unswap-sqr_binary64_19824 div-exp_binary64_19907 add-log-exp_binary64_19895
pow-prod-down_binary64_19927
*-commutative_binary64_19787 associate-*l/_binary64_19799 frac-sub_binary64_19865 div-inv_binary64_19853
frac-times_binary64_19866
flip3--_binary64_19860 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 flip--_binary64_19831 sub-div_binary64_19863
Counts
4 → 119
Calls

4 calls:

22.0ms
(*.f64 (/.f64 x a) (/.f64 y 2))
19.0ms
(*.f64 9/2 (/.f64 z a))
18.0ms
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
13.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))

series280.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (*.f64 9/2 (/.f64 z a))))
49.0ms
(*.f64 (/.f64 x a) (/.f64 y 2))
44.0ms
(*.f64 t (*.f64 9/2 (/.f64 z a)))
23.0ms
(*.f64 9/2 (/.f64 z a))

simplify114.0ms (0.9%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
050001849

prune252.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1283131
Fresh11011
Picked101
Done000
Total13013143

Merged error: 0b

Counts
143 → 13
Compiler

Compiled 2880 to 1531 computations (46.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (/.f64 (*.f64 9/2 z) a)))
0.2b
(/.f64 (*.f64 9/2 z) a)
3.8b
(*.f64 t (/.f64 (*.f64 9/2 z) a))
6.4b
(*.f64 (/.f64 x a) (/.f64 y 2))

rewrite407.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64_19878
30×add-cbrt-cube_binary64_19892 add-exp-log_binary64_19894
28×times-frac_binary64_19862
23×add-cube-cbrt_binary64_19891 *-un-lft-identity_binary64_19856
20×associate-*r*_binary64_19796
16×associate-*l*_binary64_19797
prod-exp_binary64_19905 cbrt-unprod_binary64_19889
cbrt-undiv_binary64_19890 pow1_binary64_19917 div-exp_binary64_19907
associate-*r/_binary64_19798
add-log-exp_binary64_19895
unswap-sqr_binary64_19824
div-inv_binary64_19853
associate-/r*_binary64_19800 associate-*l/_binary64_19799 frac-sub_binary64_19865
frac-times_binary64_19866 *-commutative_binary64_19787 pow-prod-down_binary64_19927
flip3--_binary64_19860 sub-neg_binary64_19849 cancel-sign-sub-inv_binary64_19822 diff-log_binary64_19948 flip--_binary64_19831 clear-num_binary64_19855 frac-2neg_binary64_19867 sub-div_binary64_19863 associate-/l*_binary64_19801
Counts
4 → 114
Calls

4 calls:

341.0ms
(*.f64 t (/.f64 (*.f64 9/2 z) a))
23.0ms
(*.f64 (/.f64 x a) (/.f64 y 2))
16.0ms
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (/.f64 (*.f64 9/2 z) a)))
9.0ms
(/.f64 (*.f64 9/2 z) a)

series282.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

161.0ms
(-.f64 (*.f64 (/.f64 x a) (/.f64 y 2)) (*.f64 t (/.f64 (*.f64 9/2 z) a)))
52.0ms
(*.f64 (/.f64 x a) (/.f64 y 2))
46.0ms
(*.f64 t (/.f64 (*.f64 9/2 z) a))
22.0ms
(/.f64 (*.f64 9/2 z) a)

simplify146.0ms (1.2%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
049721802
149721802

prune218.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1242126
Fresh21012
Picked101
Done000
Total12712139

Merged error: 0b

Counts
139 → 12
Compiler

Compiled 2508 to 1373 computations (45.3% saved)

regimes2.7s (22%)

Compiler

Compiled 11383 to 9800 computations (13.9% saved)

bsearch4.0ms (0%)

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0188102
1188102

end0.0ms (0%)

sample3.1s (25.5%)

Algorithm
intervals
Results
633.0ms8000×body128valid
255.0ms3107×body128invalid
Compiler

Compiled 974 to 818 computations (16% saved)

Profiling

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