Details

Time bar (total: 2.0s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1127

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)

rewrite10.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_8966
add-cube-cbrt_binary64_8979 *-un-lft-identity_binary64_8944 pow1_binary64_9005 add-cbrt-cube_binary64_8980 add-log-exp_binary64_8983 add-exp-log_binary64_8982
associate-*l*_binary64_8885 associate-*r*_binary64_8884
flip3-+_binary64_8947 +-commutative_binary64_8874 prod-exp_binary64_8993 *-commutative_binary64_8875 sum-log_binary64_9035 unswap-sqr_binary64_8912 pow-prod-down_binary64_9015 flip-+_binary64_8918 cbrt-unprod_binary64_8977
Counts
2 → 29
Calls

2 calls:

4.0ms
(+.f64 (*.f64 841/108 x) 4/29)
4.0ms
(*.f64 841/108 x)

series66.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(+.f64 (*.f64 841/108 x) 4/29)
23.0ms
(*.f64 841/108 x)

simplify76.0ms (3.8%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04912275
14912275

prune34.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh000
Picked011
Done000
Total31536

Merged error: 0b

Counts
36 → 5
Compiler

Compiled 345 to 288 computations (16.5% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
0.2b
(*.f64 x (sqrt.f64 841/108))
0.3b
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))

rewrite26.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_8966
10×pow1_binary64_9005 add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
associate-*l*_binary64_8885
add-cube-cbrt_binary64_8979 *-un-lft-identity_binary64_8944
associate-*r*_binary64_8884 sqrt-prod_binary64_8960
add-log-exp_binary64_8983
prod-exp_binary64_8993 pow-prod-down_binary64_9015 cbrt-unprod_binary64_8977
*-commutative_binary64_8875 unswap-sqr_binary64_8912
flip3-+_binary64_8947 +-commutative_binary64_8874 sum-log_binary64_9035 flip-+_binary64_8918
Counts
3 → 54
Calls

3 calls:

8.0ms
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))
8.0ms
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
6.0ms
(*.f64 x (sqrt.f64 841/108))

series219.0ms (10.9%)

Counts
3 → 9
Calls

3 calls:

86.0ms
(+.f64 (*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108))) 4/29)
80.0ms
(*.f64 (sqrt.f64 841/108) (*.f64 x (sqrt.f64 841/108)))
53.0ms
(*.f64 x (sqrt.f64 841/108))

simplify46.0ms (2.3%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05139511

prune51.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh213
Picked011
Done011
Total64468

Merged error: 0b

Counts
68 → 4
Compiler

Compiled 700 to 609 computations (13% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)
0.2b
(*.f64 (*.f64 x x) 707281/11664)
15.0b
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (-.f64 (*.f64 841/108 x) 4/29))

rewrite34.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_8966
16×add-cube-cbrt_binary64_8979 *-un-lft-identity_binary64_8944
13×add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
11×pow1_binary64_9005
times-frac_binary64_8950
associate-*r*_binary64_8884 add-log-exp_binary64_8983
associate-*l*_binary64_8885 prod-exp_binary64_8993 pow-prod-down_binary64_9015 cbrt-unprod_binary64_8977
associate-/r*_binary64_8888 associate-/l*_binary64_8889 cancel-sign-sub-inv_binary64_8910
associate-/r/_binary64_8890 flip3--_binary64_8948 flip--_binary64_8919 *-commutative_binary64_8875 associate-/l/_binary64_8891 unswap-sqr_binary64_8912
flip3-+_binary64_8947 div-exp_binary64_8995 clear-num_binary64_8943 frac-2neg_binary64_8955 diff-log_binary64_9036 sub-neg_binary64_8937 div-inv_binary64_8941 flip-+_binary64_8918 cbrt-undiv_binary64_8978
Counts
4 → 82
Calls

4 calls:

13.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (-.f64 (*.f64 841/108 x) 4/29))
6.0ms
(*.f64 (*.f64 x x) 707281/11664)
4.0ms
(-.f64 (*.f64 841/108 x) 4/29)
4.0ms
(*.f64 841/108 x)

series236.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

135.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (-.f64 (*.f64 841/108 x) 4/29))
46.0ms
(-.f64 (*.f64 841/108 x) 4/29)
33.0ms
(*.f64 (*.f64 x x) 707281/11664)
22.0ms
(*.f64 841/108 x)

simplify67.0ms (3.3%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
048371335
148371335

prune90.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4
Compiler

Compiled 1711 to 1259 computations (26.4% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
0.1b
(*.f64 841/108 (sqrt.f64 x))
0.2b
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))

rewrite28.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r*_binary64_8884 add-sqr-sqrt_binary64_8966
10×pow1_binary64_9005 add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
add-cube-cbrt_binary64_8979 *-un-lft-identity_binary64_8944
sqrt-prod_binary64_8960
add-log-exp_binary64_8983
associate-*l*_binary64_8885 prod-exp_binary64_8993 pow-prod-down_binary64_9015 cbrt-unprod_binary64_8977
*-commutative_binary64_8875 unswap-sqr_binary64_8912
flip3-+_binary64_8947 +-commutative_binary64_8874 sum-log_binary64_9035 flip-+_binary64_8918
Counts
3 → 54
Calls

3 calls:

8.0ms
(+.f64 (*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
8.0ms
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
6.0ms
(*.f64 841/108 (sqrt.f64 x))

series101.0ms (5%)

Counts
3 → 9
Calls

3 calls:

42.0ms
(+.f64 (*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x)) 4/29)
31.0ms
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
28.0ms
(*.f64 841/108 (sqrt.f64 x))

simplify89.0ms (4.4%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04862656
14862656

prune46.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done033
Total63467

Merged error: 0b

Counts
67 → 4
Compiler

Compiled 757 to 504 computations (33.4% saved)

regimes65.0ms (3.2%)

Compiler

Compiled 417 to 384 computations (7.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample523.0ms (25.9%)

Algorithm
intervals
Results
227.0ms7994×body128valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 144 to 134 computations (6.9% saved)

Profiling

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