Details

Time bar (total: 4.0s)

analyze1.2s (30.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04844143
14844143
055
155
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)

sample25.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
3.0ms82×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify55.0ms (1.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
071913
171913

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.3b
Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (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))
6.2b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_12035
15×*-un-lft-identity_binary64_12013
13×cancel-sign-sub-inv_binary64_11979
11×add-cube-cbrt_binary64_12048
10×add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
times-frac_binary64_12019
add-log-exp_binary64_12052 pow1_binary64_12074 associate-*r*_binary64_11953
distribute-lft-in_binary64_11962 distribute-rgt-in_binary64_11963 associate-*r/_binary64_11955
associate-/r*_binary64_11957 flip3--_binary64_12017 associate-*l*_binary64_11954 flip--_binary64_11988 sub-neg_binary64_12006
div-exp_binary64_12064 div-inv_binary64_12010 difference-of-squares_binary64_11982 cbrt-undiv_binary64_12047 distribute-lft-out--_binary64_11965 cbrt-unprod_binary64_12046 prod-exp_binary64_12062 associate-/l/_binary64_11960
*-commutative_binary64_11944 clear-num_binary64_12012 unswap-sqr_binary64_11981 pow-prod-down_binary64_12084 diff-log_binary64_12105 frac-2neg_binary64_12024 associate-/l*_binary64_11958
Counts
3 → 73
Calls

3 calls:

8.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
8.0ms
(*.f64 y (-.f64 z t))
6.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series147.0ms (3.7%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
57.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
33.0ms
(*.f64 y (-.f64 z t))

simplify39.0ms (1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052101067

prune66.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New76682
Fresh000
Picked101
Done000
Total77683
Error
0b
Counts
83 → 6
Compiler

Compiled 1197 to 309 computations (74.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b
(/.f64 a (-.f64 z t))
5.4b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite71.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64_12019
179×add-sqr-sqrt_binary64_12035
172×*-un-lft-identity_binary64_12013
120×add-cube-cbrt_binary64_12048
68×cancel-sign-sub-inv_binary64_11979
28×difference-of-squares_binary64_11982
26×associate-/r*_binary64_11957 distribute-lft-out--_binary64_11965
18×associate-/r/_binary64_11959
10×add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051 div-inv_binary64_12010
flip3--_binary64_12017 flip--_binary64_11988
associate-/l*_binary64_11958
add-log-exp_binary64_12052
div-exp_binary64_12064 cbrt-undiv_binary64_12047
pow1_binary64_12074
clear-num_binary64_12012 frac-2neg_binary64_12024
diff-log_binary64_12105 sub-neg_binary64_12006
Counts
3 → 222
Calls

3 calls:

28.0ms
(-.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))

series143.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
56.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
29.0ms
(/.f64 a (-.f64 z t))

simplify101.0ms (2.5%)

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050244825

prune150.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2310231
Fresh055
Picked011
Done000
Total2316237
Error
0b
Counts
237 → 6
Compiler

Compiled 4086 to 720 computations (82.4% 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)
5.9b
(*.f64 y (/.f64 (-.f64 z t) a))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64_12035
37×*-un-lft-identity_binary64_12013
31×times-frac_binary64_12019
23×add-cube-cbrt_binary64_12048
19×associate-*r*_binary64_11953
10×add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
difference-of-squares_binary64_11982 distribute-lft-out--_binary64_11965
add-log-exp_binary64_12052 pow1_binary64_12074 associate-/l*_binary64_11958
associate-/r*_binary64_11957 associate-*l*_binary64_11954
flip3--_binary64_12017 div-exp_binary64_12064 unswap-sqr_binary64_11981 div-inv_binary64_12010 cbrt-undiv_binary64_12047 flip--_binary64_11988 cbrt-unprod_binary64_12046 prod-exp_binary64_12062 associate-/l/_binary64_11960
cancel-sign-sub-inv_binary64_11979 div-sub_binary64_12018 *-commutative_binary64_11944 clear-num_binary64_12012 pow-prod-down_binary64_12084 diff-log_binary64_12105 frac-2neg_binary64_12024 associate-*r/_binary64_11955 sub-neg_binary64_12006
Counts
3 → 88
Calls

3 calls:

11.0ms
(*.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)))

series135.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(*.f64 y (/.f64 (-.f64 z t) a))
54.0ms
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
24.0ms
(/.f64 (-.f64 z t) a)

simplify73.0ms (1.8%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
056911361

prune61.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh044
Picked011
Done011
Total976103
Error
0b
Counts
103 → 6
Compiler

Compiled 1532 to 372 computations (75.7% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a))
0.7b
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 t)))
6.2b
(/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a)

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×times-frac_binary64_12019 add-sqr-sqrt_binary64_12035
22×*-un-lft-identity_binary64_12013
20×add-cube-cbrt_binary64_12048
16×cancel-sign-sub-inv_binary64_11979
distribute-lft-out_binary64_11964
add-log-exp_binary64_12052
add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
associate-/l*_binary64_11958
associate-/r*_binary64_11957 unsub-neg_binary64_12007 pow1_binary64_12074 distribute-rgt-neg-out_binary64_11973
flip3-+_binary64_12016 div-sub_binary64_12018 div-inv_binary64_12010 flip-+_binary64_11987 difference-of-squares_binary64_11982 associate-/l/_binary64_11960
+-commutative_binary64_11943 sum-log_binary64_12104 clear-num_binary64_12012 flip3--_binary64_12017 div-exp_binary64_12064 associate--r-_binary64_11952 cbrt-undiv_binary64_12047 distribute-lft-out--_binary64_11965 flip--_binary64_11988 diff-log_binary64_12105 frac-2neg_binary64_12024 sub-neg_binary64_12006
Counts
3 → 78
Calls

3 calls:

10.0ms
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a))
6.0ms
(/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a)
4.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 t)))

series144.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

59.0ms
(-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a))
56.0ms
(/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a)
29.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 t)))

simplify62.0ms (1.5%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050031369

prune54.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done022
Total87693
Error
0b
Counts
93 → 6
Compiler

Compiled 1308 to 258 computations (80.3% saved)

regimes345.0ms (8.6%)

Accuracy

Total 0.9b remaining (99.4%)

Threshold costs 0.9b (99.4%)

Compiler

Compiled 2443 to 1872 computations (23.4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
023863
123863

end0.0ms (0%)

sample999.0ms (24.9%)

Algorithm
intervals
Results
286.0ms8000×body128valid
85.0ms2558×body128invalid
Compiler

Compiled 327 to 234 computations (28.4% saved)

Profiling

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