Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms287×body80valid

simplify49.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
13.5b
(/ (* y (- z t)) (- a t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
9.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series102.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) (- a t))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11211239
25001239

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.5b
(/ y (/ (- a t) (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- a t) (- z t))
13.0ms
(/ y (/ (- a t) (- z t)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- a t) (- z t))
151.0ms
(/ y (/ (- a t) (- z t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06331784
128621733
250011730

prune469.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ a (- z t)) (/ t (- z t)))
0.0b
(/ a (- z t))
0.0b
(/ t (- z t))
1.5b
(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×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
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
48.0ms
(- (/ a (- z t)) (/ t (- z t)))
5.0ms
(/ a (- z t))
5.0ms
(/ t (- z t))
73.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (/ a (- z t)) (/ t (- z t)))
33.0ms
(/ a (- z t))
43.0ms
(/ t (- z t))
103.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify58.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05101610
119091560
250021544

prune526.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(/ t (- z t))
0.2b
(/ 1 (/ (- z t) a))
1.5b
(/ y (- (/ 1 (/ (- z t) a)) (/ t (- z t))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
282×times-frac
274×add-sqr-sqrt
206×*-un-lft-identity
102×add-cube-cbrt
60×difference-of-squares
44×associate-/r*
40×distribute-lft-out--
21×add-exp-log
15×add-cbrt-cube
14×associate-/l*
12×div-inv
10×div-exp
6×cbrt-undiv associate-/r/
5×pow1
4×frac-2neg clear-num add-log-exp
3×flip3-- flip--
2×rec-exp 1-exp associate-/l/
1×pow-flip div-sub frac-sub inv-pow
Counts
4 → 261
Calls
4 calls:
7.0ms
(/ (- z t) a)
5.0ms
(/ t (- z t))
10.0ms
(/ 1 (/ (- z t) a))
143.0ms
(/ y (- (/ 1 (/ (- z t) a)) (/ t (- z t))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (- z t) a)
44.0ms
(/ t (- z t))
68.0ms
(/ 1 (/ (- z t) a))
163.0ms
(/ y (- (/ 1 (/ (- z t) a)) (/ t (- z t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07832409
131442140
250022138

prune562.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample546.0ms

Algorithm
intervals
Results
282.0ms8735×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid