Details

Time bar (total: 5.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.0b
(* y (/ (- z t) (- z a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp 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 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- z a))))
10.0ms
(/ (- z t) (- z a))
26.0ms
(* y (/ (- z t) (- z a)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* y (/ (- z t) (- z a))))
43.0ms
(/ (- z t) (- z a))
79.0ms
(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423747
11655704
25001704

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
2.0b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
62×add-sqr-sqrt
51×times-frac
28×distribute-lft-out--
20×add-cube-cbrt
18×associate-*r*
16×difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube add-log-exp
7×flip3-- flip--
6×pow1 distribute-rgt-out--
5×sub-neg associate-/r* div-inv
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
3×associate-*l* associate-/l*
2×frac-sub sub-div
1×cbrt-undiv +-commutative frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 122
Calls
4 calls:
12.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
5.0ms
(/ z (- z a))
51.0ms
(- (/ z (- z a)) (/ t (- z a)))
151.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
41.0ms
(/ z (- z a))
105.0ms
(- (/ z (- z a)) (/ t (- z a)))
134.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify52.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0443851
11621804
25001804

prune293.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(* y (* (* (cbrt (- (/ z (- z a)) (/ t (- z a)))) (cbrt (- (/ z (- z a)) (/ t (- z a))))) (cbrt (- (/ z (- z a)) (/ t (- z a))))))
3.9b
(cbrt (- (/ z (- z a)) (/ t (- z a))))
3.9b
(cbrt (- (/ z (- z a)) (/ t (- z a))))
3.9b
(cbrt (- (/ z (- z a)) (/ t (- z a))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
312×cbrt-div
176×frac-times
148×associate-*r/
92×*-un-lft-identity
84×flip3-- flip--
78×frac-sub sub-div
62×add-sqr-sqrt
54×cbrt-prod times-frac
44×associate-*l/
36×distribute-lft-out--
18×difference-of-squares
14×add-cube-cbrt
13×pow1 add-exp-log
12×associate-/r/
9×distribute-rgt-out-- add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod div-inv
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 235
Calls
4 calls:
1.0s
(* y (* (* (cbrt (- (/ z (- z a)) (/ t (- z a)))) (cbrt (- (/ z (- z a)) (/ t (- z a))))) (cbrt (- (/ z (- z a)) (/ t (- z a))))))
36.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))
36.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))
34.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* y (* (* (cbrt (- (/ z (- z a)) (/ t (- z a)))) (cbrt (- (/ z (- z a)) (/ t (- z a))))) (cbrt (- (/ z (- z a)) (/ t (- z a))))))
142.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))
137.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))
146.0ms
(cbrt (- (/ z (- z a)) (/ t (- z a))))

simplify126.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
09844522
118294335
242014211
350024192

prune871.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ y (- z a)) (- z t)))
0.0b
(/ y (- z a))
11.5b
(* (/ y (- z a)) (- z t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 102
Calls
3 calls:
3.0ms
(+ x (* (/ y (- z a)) (- z t)))
5.0ms
(/ y (- z a))
23.0ms
(* (/ y (- z a)) (- z t))

series226.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (* (/ y (- z a)) (- z t)))
28.0ms
(/ y (- z a))
117.0ms
(* (/ y (- z a)) (- z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0416613
11659573
25001573

prune249.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample512.0ms

Algorithm
intervals
Results
257.0ms8719×body80valid
0.0ms1×body1280valid