Details

Time bar (total: 4.0s)

sample50.0ms

Algorithm
intervals
Results
19.0ms377×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02411
12411

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
2 → 24
Calls
2 calls:
6.0ms
(+ (+ (* x y) (* z t)) (* a b))
4.0ms
(+ (* x y) (* z t))

series33.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (+ (* x y) (* z t)) (* a b))
11.0ms
(+ (* x y) (* z t))

simplify43.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05137369

prune44.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331

Merged error: 0.0b

Counts
31 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:
18.0ms
(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))

series289.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
59.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
61.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
59.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049392083
149392083

prune128.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0b

Counts
102 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.5b
(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b
(pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6)
27.5b
(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
pow1 add-exp-log
cbrt-div pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow flip3-+ flip-+ sqr-pow
pow-to-exp pow-exp
Counts
4 → 65
Calls
4 calls:
6.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
8.0ms
(pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6)
8.0ms
(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6))

series384.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
59.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
151.0ms
(pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6)
111.0ms
(cbrt (pow (cbrt (+ (* x y) (+ (* z t) (* a b)))) 6))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050001229

prune102.0ms

Filtered
54 candidates to 77 candidates (-42.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done022
Total77481

Merged error: 0b

Counts
81 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

3.4b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
4.8b
(* a (* a (* b b)))
10.4b
(* a (* b b))
26.8b
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
times-frac pow-prod-down prod-exp cbrt-unprod
associate-*l* add-log-exp
associate-/r* associate-/l*
flip3-- associate-*r* associate--l+ associate-/r/ *-commutative flip-- associate-/l/
cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv unswap-sqr
Counts
4 → 86
Calls
4 calls:
11.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
8.0ms
(* a (* a (* b b)))
7.0ms
(* a (* b b))
20.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
7.0ms
(* a (* a (* b b)))
7.0ms
(* a (* b b))
109.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049942271
149942271

prune88.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done033
Total984102

Merged error: 0b

Counts
102 → 4

regimes823.0ms

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
01611
11611

end0.0ms

sample1.4s

Algorithm
intervals
Results
502.0ms12061×body80valid

Profiling

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