Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
2.0ms15×body640valid
1.0ms10×body1280valid
1.0ms11×body320valid
0.0ms4×body160valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
1.4b
(+ x (/ (* (- y x) (- z t)) (- a t)))
17.2b
(/ (* (- y x) (- z t)) (- a t))

rewrite44.0ms

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))
11.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series296.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (- y x) (- z t))
150.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
110.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0468583
12162534
25003534

prune248.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.4b
(/ (- y x) (/ (- a t) (- z t)))

rewrite118.0ms

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))
65.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
24.0ms
(/ (- y x) (/ (- a t) (- z t)))

series411.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- a t) (- z t))
158.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
202.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune677.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.4b
(/ (- y x) (/ (- a t) (- z t)))
2.4b
(/ (- y x) (/ (- a t) (- z t)))
2.4b
(/ (- y x) (/ (- a t) (- z t)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
915×times-frac
852×*-un-lft-identity
850×add-sqr-sqrt
298×add-cube-cbrt
276×distribute-lft-out-- difference-of-squares
93×associate-/r*
39×associate-/r/
21×flip3-- flip-- div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
9×cbrt-undiv div-exp
6×associate-/l/ add-log-exp
4×pow1 div-sub
3×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 640
Calls
4 calls:
67.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
20.0ms
(/ (- y x) (/ (- a t) (- z t)))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))
24.0ms
(/ (- y x) (/ (- a t) (- z t)))

series771.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
205.0ms
(/ (- y x) (/ (- a t) (- z t)))
201.0ms
(/ (- y x) (/ (- a t) (- z t)))
208.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify147.0ms

Algorithm
egg-herbie
Counts
652 → 652
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09717815
139617676
250017676

prune2.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
1220×times-frac
1132×add-sqr-sqrt *-un-lft-identity
396×add-cube-cbrt
368×distribute-lft-out-- difference-of-squares
124×associate-/r*
52×associate-/r/
28×flip3-- flip-- div-inv
24×add-exp-log add-cbrt-cube
20×associate-/l*
12×cbrt-undiv div-exp
8×associate-/l/
4×pow1 frac-2neg div-sub clear-num add-log-exp
Counts
4 → 836
Calls
4 calls:
24.0ms
(/ (- y x) (/ (- a t) (- z t)))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(/ (- y x) (/ (- a t) (- z t)))
196.0ms
(/ (- y x) (/ (- a t) (- z t)))
200.0ms
(/ (- y x) (/ (- a t) (- z t)))
203.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify173.0ms

Algorithm
egg-herbie
Counts
848 → 848
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
090510276
1375810064
2500110064

prune2.9s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.2b

regimes281.0ms

Accuracy

-2.3% (7.6b remaining)

Error of 11.6b against oracle of 4.0b and baseline of 11.4b

bsearch136.0ms

Steps
ItersRangePoint
6
3.7632251814877455e-125
1.6714441882618097e-124
3.803402293530504e-125
10
-1.6489987475949222e-61
-2.525196617024818e-75
-4.009879037502059e-70

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03218
13218

end0.0ms

sample684.0ms

Algorithm
intervals
Results
260.0ms7839×body80valid
53.0ms458×body640valid
40.0ms279×body1280valid
37.0ms425×body320valid
15.0ms249×body160valid
3.0ms14×body2560valid