Details

Time bar (total: 7.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms245×body80valid
5.0ms22×body640valid
3.0ms10×body1280valid
2.0ms13×body320valid
0.0ms2×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
1.1b
(+ x (/ (* (- y x) (- z t)) (- a t)))
17.5b
(/ (* (- y x) (- z t)) (- a t))

rewrite47.0ms

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:
17.0ms
(* (- y x) (- z t))
13.0ms
(+ 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))
156.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0468583
12162534
25003534

prune254.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.1b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.4b
(/ (- y x) (/ (- a t) (- z t)))

rewrite121.0ms

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:
11.0ms
(/ (- a t) (- z t))
67.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))

series391.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- a t) (- z t))
151.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
192.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify298.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010303053
142632984
250032984

prune599.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z t))
0.0b
(/ a (- z t))
1.1b
(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
2.4b
(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
228×times-frac
211×add-sqr-sqrt
99×distribute-lft-out--
63×difference-of-squares
61×add-cube-cbrt
32×associate-/r/
28×associate-/r*
18×distribute-rgt-out--
16×flip3-- flip--
15×div-inv
11×associate-/l*
10×add-exp-log add-cbrt-cube
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×div-sub associate-/l/
1×+-commutative associate-+r- flip3-+ sum-log frac-sub flip-+ distribute-lft-out sub-div
Counts
4 → 219
Calls
4 calls:
5.0ms
(/ t (- z t))
5.0ms
(/ a (- z t))
142.0ms
(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
83.0ms
(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ t (- z t))
27.0ms
(/ a (- z t))
172.0ms
(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
129.0ms
(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07702274
126092231
250022227

prune544.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z t))
1.0b
(/ y (- (/ a (- z t)) (/ t (- z t))))
1.1b
(+ x (- (/ y (- (/ a (- z t)) (/ t (- z t)))) (/ x (- (/ a (- z t)) (/ t (- z t))))))
2.2b
(/ x (- (/ a (- z t)) (/ t (- z t))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
297×*-un-lft-identity
267×times-frac
212×add-sqr-sqrt
101×distribute-lft-out--
76×add-cube-cbrt
52×difference-of-squares
42×associate-/r/
41×associate-/r*
24×distribute-rgt-out--
19×flip3-- flip-- div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l* add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×associate-+r+ sum-log frac-sub distribute-lft-out sub-div
1×+-commutative associate-+r- sub-neg flip3-+ diff-log flip-+
Counts
4 → 236
Calls
4 calls:
5.0ms
(/ t (- z t))
76.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))
1.4s
(+ x (- (/ y (- (/ a (- z t)) (/ t (- z t)))) (/ x (- (/ a (- z t)) (/ t (- z t))))))
77.0ms
(/ x (- (/ a (- z t)) (/ t (- z t))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ t (- z t))
123.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))
203.0ms
(+ x (- (/ y (- (/ a (- z t)) (/ t (- z t)))) (/ x (- (/ a (- z t)) (/ t (- z t))))))
100.0ms
(/ x (- (/ a (- z t)) (/ t (- z t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06822499
125392411
250022405

prune699.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

regimes291.0ms

Accuracy

18.4% (6.2b remaining)

Error of 10.3b against oracle of 4.1b and baseline of 11.6b

bsearch108.0ms

Steps
ItersRangePoint
8
1.010082712612526e-218
4.0636860196697867e-215
2.8828813897408052e-216
7
-1.1346613267347637e-144
-2.307004142972833e-146
-2.2785256636554884e-145

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04043
14043

end0.0ms

sample1.1s

Algorithm
intervals
Results
518.0ms7750×body80valid
122.0ms490×body640valid
88.0ms279×body1280valid
73.0ms368×body320valid
34.0ms275×body160valid
8.0ms22×body2560valid