Details

Time bar (total: 5.6s)

sample36.0ms

Algorithm
intervals
Results
12.0ms254×body80valid
2.0ms14×body640valid
1.0ms6×body1280valid
1.0ms14×body160valid
1.0ms9×body320valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize9.0ms

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))

rewrite45.0ms

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:
19.0ms
(* (- y x) (- z t))
11.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series291.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y x) (- z t))
150.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
107.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0468583
12162534
25003534

prune252.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize16.0ms

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))))

rewrite88.0ms

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:
18.0ms
(/ (- z t) (- a t))
54.0ms
(* (- y x) (/ (- z t) (- a t)))
8.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series312.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z t) (- a t))
105.0ms
(* (- y x) (/ (- z t) (- a t)))
160.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0476869
12018820
25001820

prune283.0ms

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))))

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:
10.0ms
(/ (- a t) (- z t))
22.0ms
(/ (- y x) (/ (- a t) (- z t)))
64.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series386.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- a t) (- z t))
186.0ms
(/ (- y x) (/ (- a t) (- z t)))
153.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify102.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
010303053
142632984
250032984

prune584.0ms

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)))
1.2b
(/ (/ (- a t) (- z t)) (cbrt (- y x)))
7.6b
(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
473×times-frac
438×add-sqr-sqrt *-un-lft-identity
193×cbrt-prod
176×add-cube-cbrt
129×distribute-lft-out--
127×difference-of-squares
31×associate-/l*
20×associate-/r/
17×flip3-- flip--
16×cbrt-div
11×pow1 add-exp-log
10×swap-sqr div-inv
8×associate-*r* associate-*l* associate-/r*
7×pow1/3 add-cbrt-cube
6×add-log-exp
4×frac-times unswap-sqr
3×cbrt-undiv div-exp
2×div-sub associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×+-commutative pow2 frac-2neg flip3-+ pow-plus prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ associate-/l/ distribute-lft-out
Counts
4 → 388
Calls
4 calls:
2.0ms
(cbrt (- y x))
20.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
25.0ms
(/ (/ (- a t) (- z t)) (cbrt (- y x)))
136.0ms
(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- y x))
120.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
168.0ms
(/ (/ (- a t) (- z t)) (cbrt (- y x)))
190.0ms
(+ x (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ (- a t) (- z t)) (cbrt (- y x)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
400 → 400
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012095389
150015281

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.6b

regimes190.0ms

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

sample670.0ms

Algorithm
intervals
Results
240.0ms7663×body80valid
61.0ms494×body640valid
41.0ms447×body320valid
40.0ms277×body1280valid
19.0ms278×body160valid
4.0ms23×body2560valid