Details

Time bar (total: 4.0s)

sample28.0ms

Algorithm
intervals
Results
7.0ms244×body80valid
2.0ms16×body640valid
1.0ms10×body1280valid
1.0ms14×body320valid
1.0ms11×body160valid
0.0ms1×body2560valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.5b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
26.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series120.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y x) (- a t))
76.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune192.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.5b
(fma (* 1 (/ (- y x) (- a t))) (- z t) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
23.0ms
(/ (- y x) (- a t))
0.0ms
(fma (* 1 (/ (- y x) (- a t))) (- z t) x)

series121.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y x) (- a t))
77.0ms
(fma (* 1 (/ (- y x) (- a t))) (- z t) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0273462
1799434
22926432
35002431

prune186.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- y x))
0.4b
(/ 1 (/ (- a t) (- y x)))
15.4b
(fma (* 1 (/ 1 (/ (- a t) (- y x)))) (- z t) x)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
23.0ms
(/ (- a t) (- y x))
27.0ms
(/ 1 (/ (- a t) (- y x)))
0.0ms
(fma (* 1 (/ 1 (/ (- a t) (- y x)))) (- z t) x)

series344.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- a t) (- y x))
193.0ms
(/ 1 (/ (- a t) (- y x)))
106.0ms
(fma (* 1 (/ 1 (/ (- a t) (- y x)))) (- z t) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06331919
128061732
250011561

prune397.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* (/ (- z t) (- a t)) (- y x))
2.9b
(+ (* (/ (- z t) (- a t)) (- y x)) x)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
26.0ms
(/ (- z t) (- a t))
65.0ms
(* (/ (- z t) (- a t)) (- y x))
27.0ms
(+ (* (/ (- z t) (- a t)) (- y x)) x)

series459.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- z t) (- a t))
270.0ms
(* (/ (- z t) (- a t)) (- y x))
147.0ms
(+ (* (/ (- z t) (- a t)) (- y x)) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06831497
126561254
250011252

prune379.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

regimes315.0ms

Accuracy

19.5% (6.6b remaining)

Error of 10.4b against oracle of 3.9b and baseline of 12.0b

bsearch83.0ms

Steps
ItersRangePoint
7
1.2315084140625416e-120
6.436374386219221e-119
2.0538426996299807e-120
10
-3.7429501962479706e-117
-4.619021105644525e-127
-1.9571495574965582e-126

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample759.0ms

Algorithm
intervals
Results
237.0ms7725×body80valid
48.0ms469×body640valid
36.0ms278×body1280valid
35.0ms452×body320valid
15.0ms277×body160valid
3.0ms20×body2560valid