Details

Time bar (total: 2.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0513013

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ z y) (/ t (* 2.0 z)))
0.0b
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
0.6b
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
26×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×add-log-exp
6×associate-/r*
5×add-exp-log add-cbrt-cube distribute-lft-out--
3×pow1 associate-/r/ associate-/l*
2×flip3-- frac-sub flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 70
Calls
3 calls:
10.0ms
(- (/ z y) (/ t (* 2.0 z)))
15.0ms
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
11.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (/ z y) (/ t (* 2.0 z)))
13.0ms
(+ x (/ -1 (- (/ z y) (/ t (* 2.0 z)))))
8.0ms
(/ -1 (- (/ z y) (/ t (* 2.0 z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052261248

prune125.0ms

Filtered
62 candidates to 79 candidates (-27.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New74579
Fresh101
Picked011
Done000
Total75681

Merged error: 0.0b

Counts
81 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))
15.5b
(cbrt (- (/ z y) (/ t (* 2.0 z))))
15.5b
(cbrt (- (/ z y) (/ t (* z 2.0))))
15.5b
(cbrt (- (/ z y) (/ t (* z 2.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
33×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 flip3-- swap-sqr frac-sub flip--
9×frac-times pow1/3 associate-*r* associate-*l* distribute-lft-out--
7×times-frac
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
23.0ms
(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))
8.0ms
(cbrt (- (/ z y) (/ t (* 2.0 z))))
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
11.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- (/ z y) (/ t (* z 2.0)))) (cbrt (- (/ z y) (/ t (* z 2.0)))))
22.0ms
(cbrt (- (/ z y) (/ t (* 2.0 z))))
24.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
22.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
056192508

prune272.0ms

Filtered
95 candidates to 129 candidates (-35.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1272129
Fresh224
Picked011
Done011
Total1296135

Merged error: 0.0b

Counts
135 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt (cbrt (- (/ z y) (/ t (* z 2.0))))) 4)
15.5b
(cbrt (- (/ z y) (/ t (* z 2.0))))
15.5b
(cbrt (- (/ z y) (/ t (* z 2.0))))
15.5b
(cbrt (- (/ z y) (/ t (* 2.0 z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
31×add-sqr-sqrt
19×*-un-lft-identity
12×unpow-prod-down
11×add-cube-cbrt
9×cbrt-div
8×difference-of-squares
5×pow1 add-exp-log
4×times-frac pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp
3×pow-unpow flip3-- frac-sub flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 78
Calls
4 calls:
12.0ms
(pow (cbrt (cbrt (- (/ z y) (/ t (* z 2.0))))) 4)
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
9.0ms
(cbrt (- (/ z y) (/ t (* 2.0 z))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (cbrt (cbrt (- (/ z y) (/ t (* z 2.0))))) 4)
21.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
22.0ms
(cbrt (- (/ z y) (/ t (* z 2.0))))
22.0ms
(cbrt (- (/ z y) (/ t (* 2.0 z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048931424
148931424

prune277.0ms

Filtered
74 candidates to 90 candidates (-21.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh033
Picked011
Done022
Total90696

Merged error: 0.0b

Counts
96 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z))))
0.7b
(/ -1 (- (* z (* z 2.0)) (* y t)))
1.0b
(- (* z (* z 2.0)) (* y t))
19.5b
(* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
15×associate-*l*
13×pow1
12×prod-exp cbrt-unprod
8×add-log-exp
6×pow-prod-down
4×cbrt-undiv div-exp associate-/r/
3×flip3-- associate-/r* flip-- associate-/l*
2×div-inv
1×+-commutative sub-neg frac-2neg flip3-+ diff-log associate-*r* associate-*l/ clear-num sum-log *-commutative flip-+
Counts
4 → 92
Calls
4 calls:
3.0ms
(+ x (* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z))))
6.0ms
(/ -1 (- (* z (* z 2.0)) (* y t)))
4.0ms
(- (* z (* z 2.0)) (* y t))
12.0ms
(* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z))))
10.0ms
(/ -1 (- (* z (* z 2.0)) (* y t)))
8.0ms
(- (* z (* z 2.0)) (* y t))
12.0ms
(* (/ -1 (- (* z (* z 2.0)) (* y t))) (* y (* 2.0 z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049741649
149741649

prune124.0ms

Filtered
73 candidates to 104 candidates (-42.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1031104
Fresh202
Picked011
Done033
Total1055110

Merged error: 0.0b

Counts
110 → 5

regimes236.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

sample753.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid

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