Details

Time bar (total: 1.9s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body80valid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify53.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
061813
161813

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 9) -12)
0.1b
(*.f64 x (+.f64 (*.f64 x 9) -12))

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 x (+.f64 (*.f64 x 9) -12))
5.0ms
(+.f64 (*.f64 x 9) -12)

series10.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 (*.f64 x 9) -12))
4.0ms
(+.f64 (*.f64 x 9) -12)

simplify87.0ms (4.7%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04997455
14997455

prune36.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh011
Picked011
Done000
Total34741

Merged error: 0.0b

Counts
41 → 7
Compiler

Compiled 648 to 519 computations (19.9% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 9) -12)
0.1b
(*.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12)))
0.2b
(/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
0.2b
(*.f64 x (*.f64 x 81))

rewrite38.0ms (2%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×times-frac_binary64
16×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
add-log-exp_binary64 associate-*l*_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 associate-/r/_binary64
associate-/r*_binary64 flip3--_binary64 associate-/l*_binary64 flip--_binary64
associate-/l/_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
Counts
4 → 94
Calls

4 calls:

14.0ms
(*.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12)))
11.0ms
(/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
5.0ms
(*.f64 x (*.f64 x 81))
4.0ms
(-.f64 (*.f64 x 9) -12)

series29.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(*.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12)))
9.0ms
(/.f64 (+.f64 (*.f64 x (*.f64 x 81)) -144) (-.f64 (*.f64 x 9) -12))
4.0ms
(-.f64 (*.f64 x 9) -12)
3.0ms
(*.f64 x (*.f64 x 81))

simplify103.0ms (5.5%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049172073
149172073

prune108.0ms (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1024106
Fresh325
Picked101
Done011
Total1067113

Merged error: 0b

Counts
113 → 7
Compiler

Compiled 2712 to 2135 computations (21.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.2b
(*.f64 (*.f64 x 3) x)

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 associate-*r*_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
add-log-exp_binary64 associate-*r/_binary64 *-commutative_binary64
flip3-+_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 flip-+_binary64
Counts
2 → 41
Calls

2 calls:

11.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
5.0ms
(*.f64 (*.f64 x 3) x)

series10.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x 3) x)
4.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))

simplify59.0ms (3.2%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05222629

prune43.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh145
Picked011
Done011
Total47754

Merged error: 0b

Counts
54 → 7
Compiler

Compiled 954 to 771 computations (19.2% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 9) -12)
0.1b
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)))
0.2b
(/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
0.3b
(*.f64 (*.f64 x x) 81)

rewrite39.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×times-frac_binary64
18×associate-*r*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
add-log-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 associate-/r/_binary64 associate-*l*_binary64
associate-/r*_binary64 flip3--_binary64 unswap-sqr_binary64 associate-/l*_binary64 flip--_binary64
associate-/l/_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
Counts
4 → 95
Calls

4 calls:

14.0ms
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)))
12.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
6.0ms
(*.f64 (*.f64 x x) 81)
4.0ms
(-.f64 (*.f64 x 9) -12)

series33.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

13.0ms
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12)))
13.0ms
(/.f64 (+.f64 (*.f64 (*.f64 x x) 81) -144) (-.f64 (*.f64 x 9) -12))
4.0ms
(-.f64 (*.f64 x 9) -12)
4.0ms
(*.f64 (*.f64 x x) 81)

simplify98.0ms (5.2%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049012083
149012083

prune88.0ms (4.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done022
Total1077114

Merged error: 0b

Counts
114 → 7
Compiler

Compiled 2556 to 1885 computations (26.3% saved)

regimes100.0ms (5.3%)

Compiler

Compiled 772 to 640 computations (17.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms (0%)

sample854.0ms (45.5%)

Algorithm
intervals
Results
242.0ms8000×body80valid
0.0msbody80invalid
Compiler

Compiled 210 to 176 computations (16.2% saved)

Profiling

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