Details

Time bar (total: 27.9s)

sample36.0ms

Algorithm
intervals
Results
12.0ms358×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.0b
(/ (* y (- z t)) a)

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 t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series37.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
18.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune216.0ms

Filtered
70 candidates to 45 candidates (35.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.0b
(/ y (/ a (- z t)))

rewrite40.0ms

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 (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05471150
123841110
250011107

prune995.0ms

Filtered
160 candidates to 119 candidates (25.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1573160
Fresh325
Picked011
Done011
Total1607167

Merged error: 0b

Counts
167 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
2.1b
(/ (cbrt y) (/ (cbrt a) (- z t)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
1058×times-frac
779×add-sqr-sqrt
569×*-un-lft-identity
538×cbrt-prod
413×add-cube-cbrt
221×associate-*r*
78×distribute-lft-out-- difference-of-squares
65×associate-*l*
63×add-exp-log
49×unswap-sqr
36×associate-/r*
30×cbrt-undiv div-exp
29×associate-/r/
27×add-cbrt-cube
22×div-inv
15×prod-exp cbrt-unprod
13×flip3-- flip--
6×pow1 associate-/l*
4×add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 666
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
191.0ms
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
13.0ms
(/ (cbrt y) (/ (cbrt a) (- z t)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
13.0ms
(* (/ (cbrt y) (/ (* (cbrt a) (cbrt a)) (cbrt y))) (/ (cbrt y) (/ (cbrt a) (- z t))))
48.0ms
(/ (cbrt y) (/ (cbrt a) (- z t)))

simplify130.0ms

Algorithm
egg-herbie
Counts
678 → 678
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0255010282
1500110106

prune23.9s

Filtered
678 candidates to 554 candidates (18.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6780678
Fresh044
Picked011
Done022
Total6787685

Merged error: 0b

Counts
685 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.0b
(* (/ y a) (- z t))

rewrite16.0ms

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 a) (- z t)))
11.0ms
(* (/ y a) (- z t))

series27.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (/ y a) (- z t)))
12.0ms
(* (/ y a) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323335
11236299
25001299

prune153.0ms

Filtered
63 candidates to 41 candidates (34.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done033
Total63770

Merged error: 0b

Counts
70 → 7

regimes826.0ms

Accuracy

64.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12718

end0.0ms

sample878.0ms

Algorithm
intervals
Results
340.0ms10688×body80valid

Profiling

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