Details

Time bar (total: 6.4s)

sample29.0ms

Algorithm
intervals
Results
11.0ms253×body80valid
2.0ms17×body640valid
1.0ms14×body320valid
1.0ms9×body1280valid
1.0ms11×body160valid
0.0ms1×body2560valid

simplify66.0ms

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: 24.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
2.9b
(+ x (/ (* (- y x) (- z t)) (- a t)))
17.0b
(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

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))
7.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms
(/ (* (- y x) (- z t)) (- a t))

series293.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (- y x) (- z t))
148.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify55.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0468583
12162534
25003534

prune234.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.0b
(/ (- y x) (/ (- a t) (- z t)))
2.9b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite86.0ms

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))
15.0ms
(/ (- y x) (/ (- a t) (- z t)))
41.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series388.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- a t) (- z t))
196.0ms
(/ (- y x) (/ (- a t) (- z t)))
147.0ms
(+ 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

prune619.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.0b
(/ (/ (- a t) (- z t)) (- y x))
4.4b
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
1933×times-frac
1483×*-un-lft-identity
1480×add-sqr-sqrt
624×add-cube-cbrt
428×distribute-lft-out-- difference-of-squares
171×associate-/r*
65×associate-/r/
39×associate-/l*
34×div-inv
33×flip3-- flip--
32×add-exp-log
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 946
Calls
4 calls:
8.0ms
(/ (- a t) (- z t))
39.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
15.0ms
(/ (/ (- a t) (- z t)) (- y x))
123.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (- a t) (- z t))
294.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
152.0ms
(/ (/ (- a t) (- z t)) (- y x))
167.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify156.0ms

Algorithm
egg-herbie
Counts
958 → 958
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0235413203
1500111834

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.0b
(* (- y x) (/ (- z t) (- a t)))
2.9b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite31.0ms

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:
7.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series303.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z t) (- a t))
106.0ms
(* (- y x) (/ (- z t) (- a t)))
148.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0476869
12018820
25001820

prune287.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.2b

regimes431.0ms

Accuracy

20.2% (6.1b remaining)

Error of 10.7b against oracle of 4.6b and baseline of 12.2b

bsearch101.0ms

Steps
ItersRangePoint
10
7.494104042298389e-224
2.3769453167522027e-209
2.699618550558612e-210
8
-1.6205504219320652e-206
-1.5931577809296137e-210
-3.71252033879547e-209

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample701.0ms

Algorithm
intervals
Results
261.0ms7738×body80valid
72.0ms540×body640valid
40.0ms429×body320valid
38.0ms242×body1280valid
22.0ms268×body160valid
3.0ms14×body2560valid