Details

Time bar (total: 6.8s)

sample35.0ms

Algorithm
intervals
Results
14.0ms242×body80valid
3.0ms18×body640valid
2.0ms14×body320valid
2.0ms19×body160valid
2.0ms8×body1280valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
16.4b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:
12.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series152.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y x) (- a t))
97.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune231.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a t))
0.0b
(/ x (- a t))
0.3b
(- (/ y (- a t)) (/ x (- a t)))
16.4b
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
5.0ms
(/ y (- a t))
5.0ms
(/ x (- a t))
74.0ms
(- (/ y (- a t)) (/ x (- a t)))
0.0ms
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

series302.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (- a t))
31.0ms
(/ x (- a t))
125.0ms
(- (/ y (- a t)) (/ x (- a t)))
115.0ms
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

simplify199.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0124915706
1329611719
2500211627

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a t))
0.2b
(* x (/ 1 (- a t)))
0.3b
(- (/ y (- a t)) (* x (/ 1 (- a t))))
16.4b
(fma (- (/ y (- a t)) (* x (/ 1 (- a t)))) (- z t) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
69×*-un-lft-identity
62×times-frac
42×add-cube-cbrt
21×fma-neg associate-*r* prod-diff
15×add-exp-log
13×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube
8×associate-/r/
6×pow1 add-log-exp
5×flip3-- associate-/r* flip-- div-inv
4×expm1-log1p-u prod-exp log1p-expm1-u
3×associate-*r/ div-exp associate-*l* un-div-inv associate-/l* unswap-sqr
2×cbrt-undiv frac-sub cbrt-unprod sub-div
1×sub-neg rec-exp distribute-rgt-out-- frac-2neg diff-log 1-exp pow-prod-down clear-num *-commutative fma-udef
Counts
4 → 156
Calls
4 calls:
5.0ms
(/ y (- a t))
17.0ms
(* x (/ 1 (- a t)))
38.0ms
(- (/ y (- a t)) (* x (/ 1 (- a t))))
0.0ms
(fma (- (/ y (- a t)) (* x (/ 1 (- a t)))) (- z t) x)

series300.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (- a t))
32.0ms
(* x (/ 1 (- a t)))
121.0ms
(- (/ y (- a t)) (* x (/ 1 (- a t))))
115.0ms
(fma (- (/ y (- a t)) (* x (/ 1 (- a t)))) (- z t) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04981172
118411002
25001953

prune556.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* (- z t) (/ 1 (- a t)))
0.9b
(* (* (- z t) (/ 1 (- a t))) (- y x))
5.7b
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
68×*-un-lft-identity
49×add-cube-cbrt
36×prod-diff
32×add-exp-log times-frac
26×associate-*r*
22×distribute-rgt-in associate-+l+ distribute-lft-in
20×frac-times add-cbrt-cube
17×flip3-- flip--
14×associate-*l/
13×prod-exp
12×pow1
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp associate-*l* add-log-exp
5×associate-/r*
4×expm1-log1p-u sub-neg pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip fma-def frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 199
Calls
4 calls:
6.0ms
(/ 1 (- a t))
27.0ms
(* (- z t) (/ 1 (- a t)))
39.0ms
(* (* (- z t) (/ 1 (- a t))) (- y x))
40.0ms
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

series630.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (- a t))
56.0ms
(* (- z t) (/ 1 (- a t)))
344.0ms
(* (* (- z t) (/ 1 (- a t))) (- y x))
192.0ms
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

simplify135.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
08171722
142181329
250011324

prune562.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.4b

regimes289.0ms

Accuracy

-1.8% (3.9b remaining)

Error of 7.4b against oracle of 3.5b and baseline of 7.4b

bsearch143.0ms

Steps
ItersRangePoint
10
8.152242147315315e-256
1.475796960642713e-240
4.961309801333536e-246
8
-1.9799094157988154e-168
-2.4209936988295503e-172
-8.398050183722257e-172

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03516
13516

end0.0ms

sample976.0ms

Algorithm
intervals
Results
469.0ms7827×body80valid
80.0ms459×body640valid
53.0ms263×body1280valid
51.0ms392×body320valid
29.0ms303×body160valid
7.0ms17×body2560valid