Details

Time bar (total: 4.1s)

sample25.0ms

Algorithm
intervals
Results
7.0ms238×body80valid
3.0ms22×body640valid
1.0ms6×body1280valid
1.0ms11×body160valid
0.0ms4×body320valid
0.0ms2×body2560valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.9b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.0b
(/ (* (- z t) y) (- a t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
11.0ms
(* (- z t) y)
30.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.0ms
(/ (* (- z t) y) (- a t))

series202.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
110.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms
(/ (* (- z t) y) (- a t))

simplify47.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.1b
(- (+ x y) (* (- z t) (/ y (- a t))))
12.9b
(* (- z t) (/ y (- a t)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log frac-sub add-cbrt-cube
9×flip3-- flip--
8×distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times associate-*l/
5×pow1 flip3-+ associate-*l* associate-/r* flip-+
4×associate-/r/
3×associate-*r/ associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg pow-prod-down associate--l+ clear-num sum-log *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (- a t))
22.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
27.0ms
(* (- z t) (/ y (- a t)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
109.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
63.0ms
(* (- z t) (/ y (- a t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0559844
12676803
25001803

prune319.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.9b
(- y (* (- z t) (/ y (- a t))))
12.9b
(* (- z t) (/ y (- a t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 flip3-- associate-*l* associate-/r* flip-- add-log-exp
4×associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 95
Calls
3 calls:
5.0ms
(/ y (- a t))
3.0ms
(- y (* (- z t) (/ y (- a t))))
28.0ms
(* (- z t) (/ y (- a t)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (- a t))
83.0ms
(- y (* (- z t) (/ y (- a t))))
61.0ms
(* (- z t) (/ y (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0342578
11560541
25001541

prune284.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.9b
(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))))
16.3b
(- y (* (* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
13×add-sqr-sqrt associate-*r*
12×cbrt-div
10×*-un-lft-identity
9×flip3-- prod-exp flip-- cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 cbrt-prod frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/
3×associate-*r/
2×times-frac pow1/3 unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
51.0ms
(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))))
2.0ms
(- y (* (* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))))

series737.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
177.0ms
(cbrt y)
248.0ms
(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))))
127.0ms
(- y (* (* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05851116
12531897
25001852

prune329.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

regimes331.0ms

Accuracy

-1.2% (5.0b remaining)

Error of 9.2b against oracle of 4.1b and baseline of 9.1b

bsearch67.0ms

Steps
ItersRangePoint
6
2.9475565906328606e-79
4.639121731869537e-78
1.2029862383154317e-78
6
-2.6277115069252653e-70
-6.216159211364209e-71
-6.2755159521377276e-71

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04333
14333

end0.0ms

sample653.0ms

Algorithm
intervals
Results
246.0ms7360×body80valid
55.0ms441×body640valid
36.0ms246×body1280valid
36.0ms402×body320valid
17.0ms272×body160valid
3.0ms19×body2560valid