Details

Time bar (total: 5.9s)

sample26.0ms

Algorithm
intervals
Results
8.0ms254×body80valid
2.0ms14×body640valid
1.0ms6×body1280valid
1.0ms14×body160valid
1.0ms9×body320valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.2b
(+ x (/ (* (- y x) (- z t)) (- a t)))
16.2b
(/ (* (- y x) (- z t)) (- a t))

rewrite33.0ms

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:
9.0ms
(* (- y x) (- z t))
8.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series299.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y x) (- z t))
151.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
113.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0468583
12162534
25003534

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (- y x) (/ (- z t) (- a t)))
3.2b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite35.0ms

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:
8.0ms
(/ (- z t) (- a t))
18.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series314.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- z t) (- a t))
110.0ms
(* (- y x) (/ (- z t) (- a t)))
155.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0476869
12018820
25001820

prune301.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.1b
(/ (- y x) (/ (- a t) (- z t)))
3.2b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite92.0ms

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:
8.0ms
(/ (- a t) (- z t))
17.0ms
(/ (- y x) (/ (- a t) (- z t)))
45.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series386.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- a t) (- z t))
193.0ms
(/ (- y x) (/ (- a t) (- z t)))
148.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify103.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune616.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
1.1b
(/ (cbrt (- y x)) (/ (- a t) (- z t)))
7.8b
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
473×times-frac
438×add-sqr-sqrt
436×*-un-lft-identity
193×cbrt-prod
176×add-cube-cbrt
129×distribute-lft-out--
127×difference-of-squares
31×associate-/r*
19×associate-/r/
17×flip3-- flip--
16×cbrt-div
11×pow1 add-exp-log
10×swap-sqr div-inv
8×associate-*r* associate-*l* associate-/l*
7×pow1/3 add-cbrt-cube
6×add-log-exp
4×frac-times unswap-sqr
3×cbrt-undiv div-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up associate-/l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+
Counts
4 → 386
Calls
4 calls:
3.0ms
(cbrt (- y x))
11.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
19.0ms
(/ (cbrt (- y x)) (/ (- a t) (- z t)))
3.0ms
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- y x))
126.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
509.0ms
(/ (cbrt (- y x)) (/ (- a t) (- z t)))
152.0ms
(+ x (* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ (- a t) (- z t)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
398 → 398
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011865290
150015200

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.6b

regimes217.0ms

Accuracy

1.5% (7.6b remaining)

Error of 12.1b against oracle of 4.6b and baseline of 12.2b

bsearch21.0ms

Steps
ItersRangePoint
4
2.1056044837130707e+195
3.24774600523548e+195
2.347038526652043e+195

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample699.0ms

Algorithm
intervals
Results
244.0ms7663×body80valid
61.0ms494×body640valid
42.0ms277×body1280valid
42.0ms447×body320valid
16.0ms278×body160valid
4.0ms23×body2560valid