Details

Time bar (total: 3.6s)

sample34.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
26.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
39.0ms
(/ t (- 1.0 z))
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387632
11452595
25001593

prune240.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
6.1b
(* x (/ y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
14.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series182.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
66.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
58.0ms
(* x (- (/ t (- 1.0 z))))
23.0ms
(* x (/ y z))

simplify88.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0674871
13174809
25001808

prune397.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
5.0b
(* (* x y) (/ 1 z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
54×times-frac
41×add-cube-cbrt
30×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
13×prod-exp
11×pow1
10×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-/r/ add-log-exp
5×associate-*r/ div-exp associate-/r*
4×associate-*l* pow-prod-down div-inv
3×cbrt-undiv flip3-- distribute-rgt-neg-out flip-- distribute-neg-frac associate-/l*
2×rec-exp 1-exp frac-add un-div-inv *-commutative
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg clear-num sum-log flip-+ unswap-sqr
Counts
4 → 153
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
7.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
15.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* (* x y) (/ 1 z))

series181.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ t (- 1.0 z))
67.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
58.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* (* x y) (/ 1 z))

simplify102.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
0762943
13851858
25002841

prune396.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (- (/ t (- 1.0 z))))
13.2b
(cbrt (/ y z))
13.2b
(cbrt (/ y z))
13.2b
(cbrt (/ y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×*-un-lft-identity times-frac
46×associate-*r*
45×add-cube-cbrt
39×cbrt-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
5×div-inv
4×associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×flip3-- flip--
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 129
Calls
4 calls:
17.0ms
(* x (- (/ t (- 1.0 z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series251.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (- (/ t (- 1.0 z))))
65.0ms
(cbrt (/ y z))
65.0ms
(cbrt (/ y z))
63.0ms
(cbrt (/ y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0454793
11892747
25001741

prune452.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes284.0ms

Accuracy

64.8% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 5.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05440
15840
25940
35940

end0.0ms

sample527.0ms

Algorithm
intervals
Results
286.0ms10071×body80valid