Details

Time bar (total: 2.4s)

sample29.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.9b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series31.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z x))
13.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0290325
11223280
25001280

prune80.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
5.1b
(/ y (/ t (- z x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
20.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
8.0ms
(/ y (/ t (- z x)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ x (/ y (/ t (- z x))))
7.0ms
(/ t (- z x))
12.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391150
123681110
250021107

prune148.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1573160
Fresh235
Picked101
Done011
Total1607167

Merged error: 0b

Counts
167 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- z x)) (cbrt (- z x)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
24×cbrt-div
19×add-cbrt-cube
18×cbrt-undiv div-exp
17×associate-/r/
15×times-frac
13×prod-exp associate-/r* cbrt-unprod
12×flip3-- flip--
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×frac-times
4×pow1 associate-*r/ associate-*l/ add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/l*
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
21.0ms
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- z x)) (cbrt (- z x)))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(cbrt y)
51.0ms
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- z x)) (cbrt (- z x)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05891232
124131015
25001931

prune110.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done011
Total1037110

Merged error: 0b

Counts
110 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
7.7b
(* (/ y t) (- z x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
8.0ms
(* (/ y t) (- z x))

series232.0ms

Counts
2 → 6
Calls
2 calls:
220.0ms
(+ x (* (/ y t) (- z x)))
13.0ms
(* (/ y t) (- z x))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0315335
11214299
25002299

prune45.0ms

Filtered
40 candidates to 63 candidates (-57.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done022
Total63770

Merged error: 0b

Counts
70 → 7

regimes329.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

end0.0ms

sample822.0ms

Algorithm
intervals
Results
335.0ms10788×body80valid

Profiling

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