Details

Time bar (total: 5.4s)

sample45.0ms

Algorithm
intervals
Results
20.0ms258×body80valid
4.0ms15×body640valid
3.0ms5×body160valid
3.0ms15×body320valid
2.0ms7×body1280valid
1.0ms2×body2560valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
2.4b
(+ x (/ (* (- y x) (- z t)) (- a t)))
17.2b
(/ (* (- y x) (- z t)) (- a t))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ 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
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
17.0ms
(* (- y x) (- z t))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series304.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (- y x) (- z t))
151.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
116.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0468583
12162534
25003534

prune256.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(* (- y x) (/ (- z t) (- a t)))
2.4b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ 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 → 119
Calls
3 calls:
10.0ms
(/ (- z t) (- a t))
33.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series320.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- z t) (- a t))
112.0ms
(* (- y x) (/ (- z t) (- a t)))
157.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify63.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0476869
12018820
25001820

prune307.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.2b
(/ (- y x) (/ (- a t) (- z t)))
2.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
11.0ms
(/ (- a t) (- z t))
22.0ms
(/ (- y x) (/ (- a t) (- z t)))
65.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series400.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a t) (- z t))
196.0ms
(/ (- y x) (/ (- a t) (- z t)))
155.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify106.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010303053
142632984
250032984

prune636.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.2b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.7b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a t))
24.0ms
(* (- z t) (/ 1 (- a t)))
33.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (- a t))
47.0ms
(* (- z t) (/ 1 (- a t)))
114.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
153.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05861027
12802910
25003865

prune340.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.7b

regimes332.0ms

Accuracy

13.6% (6.5b remaining)

Error of 10.7b against oracle of 4.2b and baseline of 11.7b

bsearch131.0ms

Steps
ItersRangePoint
9
2.183162487484932e-93
3.7249818277460274e-84
3.1595740263796063e-93
9
-3.2207796842116785e-143
-2.5811940126897814e-151
-3.1703164045461676e-144

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03613
13613

end0.0ms

sample1.2s

Algorithm
intervals
Results
614.0ms7734×body80valid
125.0ms482×body640valid
99.0ms314×body1280valid
73.0ms371×body320valid
34.0ms248×body160valid
6.0ms16×body2560valid