Details

Time bar (total: 3.8s)

analyze628.0ms (16.7%)

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms71×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify145.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
073413
173413

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 y (-.f64 z x))
0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
8.3b
(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_10649 add-sqr-sqrt_binary64_10671
10×add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
add-cube-cbrt_binary64_10684
cancel-sign-sub-inv_binary64_10615
add-log-exp_binary64_10688 pow1_binary64_10710 associate-*r*_binary64_10589
distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 associate-*r/_binary64_10591
associate-/r*_binary64_10593 times-frac_binary64_10655 associate-*l*_binary64_10590
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sub-neg_binary64_10642 div-exp_binary64_10700 cbrt-undiv_binary64_10683 flip3--_binary64_10653 flip--_binary64_10624 associate-/l/_binary64_10596
sum-log_binary64_10740 pow-prod-down_binary64_10720 difference-of-squares_binary64_10618 clear-num_binary64_10648 associate-/l*_binary64_10594 unswap-sqr_binary64_10617 +-commutative_binary64_10579 *-commutative_binary64_10580 frac-2neg_binary64_10660 distribute-lft-out--_binary64_10601 flip-+_binary64_10623 div-inv_binary64_10646 flip3-+_binary64_10652 distribute-lft-out_binary64_10600
Counts
3 → 65
Calls

3 calls:

8.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms
(*.f64 y (-.f64 z x))
5.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series133.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

53.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
41.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
39.0ms
(*.f64 y (-.f64 z x))

simplify54.0ms (1.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05423909

prune62.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New65974
Fresh000
Picked101
Done000
Total66975

Merged error: 0.0b

Counts
75 → 9
Compiler

Compiled 1126 to 321 computations (71.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 t (-.f64 z x))
0.0b
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
6.2b
(/.f64 y (/.f64 t (-.f64 z x)))

rewrite55.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_10655
105×*-un-lft-identity_binary64_10649
103×add-sqr-sqrt_binary64_10671
71×add-cube-cbrt_binary64_10684
26×associate-/r*_binary64_10593
16×difference-of-squares_binary64_10618 distribute-lft-out--_binary64_10601
11×associate-/r/_binary64_10595
10×add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
associate-/l*_binary64_10594 div-inv_binary64_10646
add-log-exp_binary64_10688 flip3--_binary64_10653 flip--_binary64_10624
div-exp_binary64_10700 cbrt-undiv_binary64_10683
pow1_binary64_10710
clear-num_binary64_10648 frac-2neg_binary64_10660
sum-log_binary64_10740 +-commutative_binary64_10579 flip-+_binary64_10623 flip3-+_binary64_10652 distribute-lft-out_binary64_10600
Counts
3 → 151
Calls

3 calls:

22.0ms
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
10.0ms
(/.f64 y (/.f64 t (-.f64 z x)))
5.0ms
(/.f64 t (-.f64 z x))

series135.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

61.0ms
(/.f64 y (/.f64 t (-.f64 z x)))
40.0ms
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
34.0ms
(/.f64 t (-.f64 z x))

simplify78.0ms (2.1%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050503116

prune109.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1582160
Fresh448
Picked011
Done000
Total1627169

Merged error: 0b

Counts
169 → 7
Compiler

Compiled 2864 to 611 computations (78.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
5.2b
(*.f64 (/.f64 y t) (-.f64 z x))

rewrite22.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_10671
16×*-un-lft-identity_binary64_10649
14×add-cube-cbrt_binary64_10684
13×associate-*l*_binary64_10590
12×cancel-sign-sub-inv_binary64_10615
10×times-frac_binary64_10655
distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 associate-+r+_binary64_10581
add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
associate-*r*_binary64_10589
add-log-exp_binary64_10688 pow1_binary64_10710 sub-neg_binary64_10642
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 unswap-sqr_binary64_10617 flip3--_binary64_10653 flip--_binary64_10624 associate-*r/_binary64_10591 frac-times_binary64_10659
associate-*l/_binary64_10592 sum-log_binary64_10740 pow-prod-down_binary64_10720 difference-of-squares_binary64_10618 +-commutative_binary64_10579 div-exp_binary64_10700 *-commutative_binary64_10580 cbrt-undiv_binary64_10683 distribute-lft-out--_binary64_10601 flip-+_binary64_10623 div-inv_binary64_10646 flip3-+_binary64_10652
Counts
2 → 65
Calls

2 calls:

13.0ms
(*.f64 (/.f64 y t) (-.f64 z x))
4.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

series95.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(*.f64 (/.f64 y t) (-.f64 z x))
37.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))

simplify49.0ms (1.3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049941022
149941022

prune47.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh055
Picked011
Done011
Total71778

Merged error: 0b

Counts
78 → 7
Compiler

Compiled 1148 to 283 computations (75.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
0.0b
(/.f64 1 (-.f64 z x))
5.3b
(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

rewrite148.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
696×times-frac_binary64_10655
387×*-un-lft-identity_binary64_10649
385×add-sqr-sqrt_binary64_10671
293×add-cube-cbrt_binary64_10684
46×difference-of-squares_binary64_10618 distribute-lft-out--_binary64_10601
38×div-inv_binary64_10646
31×associate-/r/_binary64_10595
29×add-exp-log_binary64_10687
26×associate-/r*_binary64_10593
18×div-exp_binary64_10700
17×add-cbrt-cube_binary64_10685
16×associate-/l*_binary64_10594
15×flip3--_binary64_10653 flip--_binary64_10624
cbrt-undiv_binary64_10683
add-log-exp_binary64_10688
pow1_binary64_10710
1-exp_binary64_10693 rec-exp_binary64_10699
clear-num_binary64_10648 frac-2neg_binary64_10660
sum-log_binary64_10740 +-commutative_binary64_10579 inv-pow_binary64_10734 flip-+_binary64_10623 flip3-+_binary64_10652 distribute-lft-out_binary64_10600 associate-/l/_binary64_10596 pow-flip_binary64_10723
Counts
3 → 384
Calls

3 calls:

72.0ms
(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
17.0ms
(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))
9.0ms
(/.f64 1 (-.f64 z x))

series132.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))
39.0ms
(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
21.0ms
(/.f64 1 (-.f64 z x))

simplify143.0ms (3.8%)

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0512010488

prune300.0ms (8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3930393
Fresh044
Picked011
Done022
Total3937400

Merged error: 0b

Counts
400 → 7
Compiler

Compiled 8374 to 2186 computations (73.9% saved)

regimes414.0ms (11%)

Compiler

Compiled 1439 to 1067 computations (25.9% saved)

bsearch39.0ms (1%)

Steps
ItersRangePoint
10
8.284055369363973e-153
1.4851105720096826e-140
3.071303393454297e-150
7
-6.310517764175105e-286
-1.2747890810369453e-287
-2.8693177558245846e-287
Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03540
13540

end0.0ms (0%)

sample891.0ms (23.7%)

Algorithm
intervals
Results
252.0ms8000×body128valid
69.0ms2082×body128invalid
Compiler

Compiled 324 to 238 computations (26.5% saved)

Profiling

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