Details

Time bar (total: 3.6s)

analyze862.0ms (24%)

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
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample29.0ms (0.8%)

Algorithm
intervals
Results
13.0ms256×body128valid
2.0ms72×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify146.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
071913
171913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.9b
Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_9648 *-un-lft-identity_binary64_9626
10×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
add-cube-cbrt_binary64_9661
cancel-sign-sub-inv_binary64_9592
add-log-exp_binary64_9665 pow1_binary64_9687 associate-*r*_binary64_9566
distribute-rgt-in_binary64_9576 associate-*r/_binary64_9568 distribute-lft-in_binary64_9575
times-frac_binary64_9632 associate-*l*_binary64_9567 associate-/r*_binary64_9570
flip3--_binary64_9630 sub-neg_binary64_9619 div-exp_binary64_9677 prod-exp_binary64_9675 associate-/l/_binary64_9573 flip--_binary64_9601 cbrt-undiv_binary64_9660 cbrt-unprod_binary64_9659
distribute-lft-out--_binary64_9578 +-commutative_binary64_9556 difference-of-squares_binary64_9595 pow-prod-down_binary64_9697 *-commutative_binary64_9557 flip-+_binary64_9600 unswap-sqr_binary64_9594 associate-/l*_binary64_9571 frac-2neg_binary64_9637 sum-log_binary64_9717 div-inv_binary64_9623 clear-num_binary64_9625 distribute-lft-out_binary64_9577 flip3-+_binary64_9629
Counts
3 → 65
Calls

3 calls:

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

series139.0ms (3.9%)

Counts
3 → 9
Calls

3 calls:

55.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
53.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
31.0ms
(*.f64 y (-.f64 z t))

simplify57.0ms (1.6%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05397909

prune54.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70474
Fresh000
Picked011
Done000
Total70575
Error
0.0b
Counts
75 → 5
Compiler

Compiled 1047 to 268 computations (74.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 a (-.f64 z t))
0.0b
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
4.3b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite47.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_9632
105×*-un-lft-identity_binary64_9626
103×add-sqr-sqrt_binary64_9648
71×add-cube-cbrt_binary64_9661
26×associate-/r*_binary64_9570
16×distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595
11×associate-/r/_binary64_9572
10×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
associate-/l*_binary64_9571 div-inv_binary64_9623
flip3--_binary64_9630 add-log-exp_binary64_9665 flip--_binary64_9601
div-exp_binary64_9677 cbrt-undiv_binary64_9660
pow1_binary64_9687
frac-2neg_binary64_9637 clear-num_binary64_9625
+-commutative_binary64_9556 flip-+_binary64_9600 sum-log_binary64_9717 distribute-lft-out_binary64_9577 flip3-+_binary64_9629
Counts
3 → 151
Calls

3 calls:

20.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms
(/.f64 a (-.f64 z t))

series151.0ms (4.2%)

Counts
3 → 9
Calls

3 calls:

60.0ms
(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
59.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
31.0ms
(/.f64 a (-.f64 z t))

simplify73.0ms (2%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050233118

prune108.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1582160
Fresh123
Picked011
Done011
Total1596165
Error
0b
Counts
165 → 6
Compiler

Compiled 2843 to 597 computations (79% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
8.8b
(*.f64 (/.f64 y a) (-.f64 z t))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_9648
16×*-un-lft-identity_binary64_9626
14×add-cube-cbrt_binary64_9661
13×associate-*l*_binary64_9567
12×cancel-sign-sub-inv_binary64_9592
10×times-frac_binary64_9632
distribute-rgt-in_binary64_9576 distribute-lft-in_binary64_9575 associate-+r+_binary64_9558
add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
associate-*r*_binary64_9566
sub-neg_binary64_9619 add-log-exp_binary64_9665 pow1_binary64_9687
flip3--_binary64_9630 frac-times_binary64_9636 prod-exp_binary64_9675 flip--_binary64_9601 unswap-sqr_binary64_9594 associate-*r/_binary64_9568 cbrt-unprod_binary64_9659
associate-*l/_binary64_9569 div-exp_binary64_9677 distribute-lft-out--_binary64_9578 +-commutative_binary64_9556 difference-of-squares_binary64_9595 pow-prod-down_binary64_9697 *-commutative_binary64_9557 cbrt-undiv_binary64_9660 flip-+_binary64_9600 sum-log_binary64_9717 div-inv_binary64_9623 flip3-+_binary64_9629
Counts
2 → 65
Calls

2 calls:

10.0ms
(*.f64 (/.f64 y a) (-.f64 z t))
4.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

series116.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

61.0ms
(*.f64 (/.f64 y a) (-.f64 z t))
55.0ms
(+.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

simplify48.0ms (1.3%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049911022
149911022

prune46.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done022
Total71677
Error
0b
Counts
77 → 6
Compiler

Compiled 1126 to 268 computations (76.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b
(/.f64 (-.f64 z t) a)
4.4b
(*.f64 y (/.f64 (-.f64 z t) a))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64_9648
37×*-un-lft-identity_binary64_9626
31×times-frac_binary64_9632
23×add-cube-cbrt_binary64_9661
19×associate-*r*_binary64_9566
10×add-exp-log_binary64_9664 add-cbrt-cube_binary64_9662
distribute-lft-out--_binary64_9578 difference-of-squares_binary64_9595
add-log-exp_binary64_9665 pow1_binary64_9687 associate-/l*_binary64_9571
associate-*l*_binary64_9567 associate-/r*_binary64_9570
div-exp_binary64_9677 prod-exp_binary64_9675 associate-/l/_binary64_9573 cbrt-undiv_binary64_9660 unswap-sqr_binary64_9594 div-inv_binary64_9623 cbrt-unprod_binary64_9659
flip3--_binary64_9630 +-commutative_binary64_9556 pow-prod-down_binary64_9697 *-commutative_binary64_9557 flip--_binary64_9601 flip-+_binary64_9600 frac-2neg_binary64_9637 sum-log_binary64_9717 clear-num_binary64_9625 flip3-+_binary64_9629 associate-*r/_binary64_9568 div-sub_binary64_9631
Counts
3 → 87
Calls

3 calls:

10.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
6.0ms
(/.f64 (-.f64 z t) a)
3.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))

series140.0ms (3.9%)

Counts
3 → 9
Calls

3 calls:

59.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
56.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
26.0ms
(/.f64 (-.f64 z t) a)

simplify76.0ms (2.1%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
060201341

prune58.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done033
Total966102
Error
0b
Counts
102 → 6
Compiler

Compiled 1454 to 323 computations (77.8% saved)

regimes374.0ms (10.4%)

Accuracy

Total 0.7b remaining (99.3%)

Threshold costs 0.7b (99.3%)

Compiler

Compiled 2094 to 1654 computations (21% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03863
13863

end0.0ms (0%)

sample954.0ms (26.6%)

Algorithm
intervals
Results
286.0ms8000×body128valid
86.0ms2508×body128invalid
Compiler

Compiled 296 to 214 computations (27.7% saved)

Profiling

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