Details

Time bar (total: 4.6s)

sample25.0ms

Algorithm
intervals
Results
7.0ms239×body80valid
2.0ms18×body640valid
1.0ms17×body320valid
1.0ms8×body1280valid
0.0ms7×body160valid

simplify67.0ms

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: 25.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.8b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.4b
(/ (* (- 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:
18.0ms
(* (- y x) (- z t))
13.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series291.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- y x) (- z t))
148.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
109.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0468583
12162534
25003534

prune268.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
3.8b
(+ x (/ (- y x) (/ (- a t) (- z t))))
4.2b
(/ (- y x) (/ (- a t) (- z t)))

rewrite122.0ms

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))
68.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))

series401.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a t) (- z t))
151.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
203.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify105.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune604.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.7b
(* (- y x) (/ (- z t) (- a t)))
3.8b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite54.0ms

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:
11.0ms
(/ (- z t) (- a t))
35.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series302.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z t) (- a t))
111.0ms
(* (- y x) (/ (- z t) (- a t)))
145.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0476869
12018820
25001820

prune313.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
3.7b
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.8b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (- a t))
25.0ms
(* (- z t) (/ 1 (- a t)))
37.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (- a t))
50.0ms
(* (- z t) (/ 1 (- a t)))
111.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
152.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05861027
12802910
25003865

prune331.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.7b

regimes280.0ms

Accuracy

7.1% (7.2b remaining)

Error of 11.4b against oracle of 4.1b and baseline of 11.9b

bsearch89.0ms

Steps
ItersRangePoint
9
2.6941268844491673e-185
3.2783833516059787e-177
1.721114889133434e-177
7
-3.037896076877139e-46
-4.745992706628307e-48
-4.810141871832599e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample684.0ms

Algorithm
intervals
Results
252.0ms7751×body80valid
61.0ms508×body640valid
42.0ms292×body1280valid
37.0ms393×body320valid
16.0ms271×body160valid
4.0ms22×body2560valid