Details

Time bar (total: 4.8s)

sample61.0ms

Algorithm
intervals
Results
20.0ms424×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
7.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms
(+ (* x y) (* z t))
5.0ms
(+ (+ (* x y) (* z t)) (* a b))

series135.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms
(+ (* x y) (* z t))
18.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify33.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune84.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41647
Fresh000
Picked011
Done000
Total41748

Merged error: 0b

Counts
48 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
12.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
4.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
4.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
52.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
50.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
52.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify138.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
03121441
111151348
248951239
350021223

prune125.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh055
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
1.6b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
23.9b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
pow-sqr pow-prod-up
add-log-exp
difference-of-squares
pow-plus associate-/l*
flip3-- associate-/r* flip--
pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
11.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series70.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
30.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
28.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0413954
12306805
25002788

prune105.0ms

Filtered
66 candidates to 129 candidates (-95.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done022
Total1297136

Merged error: 0b

Counts
136 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.2b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b
(sqrt (+ (* x y) (* z t)))
1.0b
(sqrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
22.0ms
(sqrt (+ (* x y) (* z t)))
20.0ms
(sqrt (+ (* x y) (* z t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0243770
11040706
25001686

prune86.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done033
Total1107117

Merged error: 0b

Counts
117 → 7

regimes1.6s

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample1.7s

Algorithm
intervals
Results
652.0ms13651×body80valid

Profiling

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