Details

Time bar (total: 5.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms328×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

rewrite198.0ms

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:
12.0ms
(/ t (- 1.0 z))
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
141.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series104.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ t (- 1.0 z))
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25001593

prune235.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.7b
(/ 1 (/ (- 1.0 z) t))
4.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
15.0ms
(/ (- 1.0 z) t)
66.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
18.0ms
(/ 1 (/ (- 1.0 z) t))
245.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 z) t)
30.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
23.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify82.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07521650
133961387
250021375

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))
8.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
138.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
37.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
40.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
214.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
218.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
216.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0313732
11134647
25002639

prune277.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
16×times-frac
12×cbrt-prod
10×associate-*r*
9×cbrt-div associate-*r/
8×distribute-lft-out-- difference-of-squares
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
135.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
37.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
126.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
215.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
217.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0397828
11295753
25001745

prune342.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

53.3% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03937
13937

end0.0ms

sample649.0ms

Algorithm
intervals
Results
285.0ms10198×body80valid