Details

Time bar (total: 3.1s)

analyze52.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample24.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms256×pre80true
Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify299.0ms (9.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0477316
1477316

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite232.0ms (7.5%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-*l*_binary64
associate-*r*_binary64 add-cube-cbrt_binary64
pow1_binary64
associate-*r/_binary64 difference-of-squares_binary64
associate-/r*_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64 insert-posit16 flip--_binary64
pow-prod-down_binary64 associate-/l/_binary64 sub-neg_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
difference-of-sqr-1_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 75
Calls

3 calls:

210.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
10.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms
(*.f64 m (-.f64 1 m))

series188.0ms (6%)

Counts
3 → 9
Calls

3 calls:

70.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
64.0ms
(*.f64 m (-.f64 1 m))
54.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify120.0ms (3.9%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
054661095

prune103.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New721284
Fresh000
Picked011
Done000
Total721385

Merged error: 0.0b

Counts
85 → 13
Compiler

Compiled 1617 to 1088 computations (32.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1 m) v)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite41.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt_binary64
48×*-un-lft-identity_binary64
37×times-frac_binary64
27×add-cube-cbrt_binary64
25×associate-*r*_binary64
14×difference-of-squares_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 associate-/l*_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16
pow-prod-down_binary64 associate-/l/_binary64 flip3--_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 associate-*l/_binary64 *-commutative_binary64
associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64
Counts
3 → 106
Calls

3 calls:

14.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
13.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
8.0ms
(/.f64 (-.f64 1 m) v)

series154.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

56.0ms
(*.f64 m (/.f64 (-.f64 1 m) v))
50.0ms
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
48.0ms
(/.f64 (-.f64 1 m) v)

simplify126.0ms (4%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
049421630
149421630

prune118.0ms (3.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1123115
Fresh2911
Picked011
Done101
Total11513128

Merged error: 0.0b

Counts
128 → 13
Compiler

Compiled 2245 to 1448 computations (35.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 m (*.f64 m m))
0.0b
(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1) m)

rewrite33.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
18×times-frac_binary64
15×add-cube-cbrt_binary64
10×associate-*l*_binary64
difference-of-squares_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 distribute-rgt-out--_binary64 associate-/l*_binary64
associate-/r*_binary64 flip3--_binary64 associate-*r*_binary64 insert-posit16 flip--_binary64
associate-/l/_binary64 difference-of-sqr-1_binary64 associate-*l/_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
3 → 81
Calls

3 calls:

19.0ms
(*.f64 (-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1) m)
7.0ms
(/.f64 (-.f64 m (*.f64 m m)) v)
4.0ms
(-.f64 m (*.f64 m m))

series165.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

60.0ms
(-.f64 m (*.f64 m m))
54.0ms
(/.f64 (-.f64 m (*.f64 m m)) v)
51.0ms
(*.f64 (-.f64 (/.f64 (-.f64 m (*.f64 m m)) v) 1) m)

simplify120.0ms (3.9%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
060501437

prune79.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh11011
Picked011
Done101
Total9112103

Merged error: 0.0b

Counts
103 → 12
Compiler

Compiled 1822 to 745 computations (59.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
0.2b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 1) m)
0.2b
(*.f64 m (/.f64 m v))

rewrite39.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
16×associate-*r*_binary64
13×add-cube-cbrt_binary64
11×times-frac_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow1_binary64
add-log-exp_binary64
cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16
pow-prod-down_binary64 flip3--_binary64 distribute-rgt-out--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 flip--_binary64 associate-*l/_binary64 *-commutative_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 difference-of-sqr-1_binary64 div-exp_binary64 sub-div_binary64 frac-sub_binary64
Counts
3 → 75
Calls

3 calls:

16.0ms
(*.f64 (-.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 1) m)
11.0ms
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
9.0ms
(*.f64 m (/.f64 m v))

series127.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 (-.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 1) m)
46.0ms
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
31.0ms
(*.f64 m (/.f64 m v))

simplify86.0ms (2.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049651134
149651134

prune70.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh1910
Picked011
Done101
Total841296

Merged error: 0.0b

Counts
96 → 12
Compiler

Compiled 1484 to 556 computations (62.5% saved)

regimes55.0ms (1.8%)

Compiler

Compiled 538 to 392 computations (27.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02916
12916

end0.0ms (0%)

sample847.0ms (27.2%)

Algorithm
intervals
Results
251.0ms8000×body80valid
178.0ms8059×pre80true
2.0ms59×body80invalid
Compiler

Compiled 299 to 217 computations (27.4% saved)

Profiling

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