Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms350×body80valid

simplify39.0ms

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
6.9b
(/ (* 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)

series129.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
47.0ms
(+ x (/ (* y (- z t)) a))
48.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune129.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
3.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
172.0ms
(cbrt a)
168.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune275.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh156
Picked101
Done011
Total1177124

Merged error: 0.0b

Counts
124 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
1.1b
(* y (/ (- z t) (cbrt a)))
3.4b
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*r*
33×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
12.0ms
(* y (/ (- z t) (cbrt a)))
12.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
172.0ms
(cbrt a)
148.0ms
(* y (/ (- z t) (cbrt a)))
84.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0456748
12321627
25001585

prune236.0ms

Filtered
114 candidates to 79 candidates (69.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done011
Total1147121

Merged error: 0.0b

Counts
121 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
6.6b
(/ y (/ a (- z t)))

rewrite38.0ms

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:
5.0ms
(/ a (- z t))
18.0ms
(+ x (/ y (/ a (- z t))))
8.0ms
(/ y (/ a (- z t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ a (- z t))
45.0ms
(+ x (/ y (/ a (- z t))))
54.0ms
(/ y (/ a (- z t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05471150
123841110
250021107

prune317.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1591160
Fresh134
Picked011
Done022
Total1607167

Merged error: 0b

Counts
167 → 7

regimes345.0ms

Accuracy

87.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample661.0ms

Algorithm
intervals
Results
354.0ms10661×body80valid