Details

Time bar (total: 3.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1325
2575
31005
41445
51775
62035
72635
83525
94455
106865
119095
129325
139325

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
9.1b
(/ (* y (- z t)) (- a t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
4×add-cube-cbrt add-log-exp
2×pow1 cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 41
Calls
2 calls:
10.0ms
(+ x (/ (* y (- z t)) (- a t)))
10.0ms
(/ (* y (- z t)) (- a t))

series140.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ x (/ (* y (- z t)) (- a t)))
64.0ms
(/ (* y (- z t)) (- a t))

simplify111.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0276283
11054254
24980254
35002254

prune119.0ms

Filtered
47 candidates to 35 candidates (74.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.2b
(* y (/ (- z t) (- a t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
13.0ms
(/ (- z t) (- a t))
25.0ms
(* y (/ (- z t) (- a t)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (* y (/ (- z t) (- a t))))
51.0ms
(/ (- z t) (- a t))
64.0ms
(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0421747
11657704
25001704

prune264.0ms

Filtered
122 candidates to 80 candidates (65.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- a t) (- z t))))
0.0b
(/ (- a t) (- z t))
2.4b
(/ y (/ (- a t) (- z t)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
42.0ms
(+ x (/ y (/ (- a t) (- z t))))
13.0ms
(/ (- a t) (- z t))
15.0ms
(/ y (/ (- a t) (- z t)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(+ x (/ y (/ (- a t) (- z t))))
49.0ms
(/ (- a t) (- z t))
143.0ms
(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06971888
130511835
250021832

prune477.0ms

Filtered
215 candidates to 144 candidates (67.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
0.0b
(/ t (- z t))
2.4b
(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
177×*-un-lft-identity
156×times-frac
135×add-sqr-sqrt
56×distribute-lft-out--
55×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative flip3-+ sum-log frac-sub flip-+ distribute-lft-out sub-div
Counts
4 → 177
Calls
4 calls:
5.0ms
(/ a (- z t))
127.0ms
(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
5.0ms
(/ t (- z t))
74.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ a (- z t))
111.0ms
(+ x (/ y (- (/ a (- z t)) (/ t (- z t)))))
44.0ms
(/ t (- z t))
102.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05561495
120201456
250011453

prune438.0ms

Filtered
189 candidates to 136 candidates (72.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

47.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02618
12618

end0.0ms

sample519.0ms

Algorithm
intervals
Results
266.0ms8721×body80valid
0.0ms2×body1280valid
0.0ms1×body160valid