Details

Time bar (total: 5.4s)

sample23.0ms

Algorithm
intervals
Results
12.0ms318×body80valid

simplify18.0ms

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: 6.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite127.0ms

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:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
91.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
37.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25001593

prune229.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.7b
(* x (* 1 (- (/ y z) (/ t (- 1.0 z)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
12×add-exp-log
10×add-cbrt-cube
8×pow1 distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
6×associate-*r/
5×sub-neg prod-exp associate-/r* add-log-exp
3×flip3-- associate-*l* pow-prod-down flip-- cbrt-unprod associate-/l*
2×associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log 1-exp div-exp associate-*r* clear-num *-commutative div-inv
Counts
3 → 87
Calls
3 calls:
25.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
75.0ms
(* x (* 1 (- (/ y z) (/ t (- 1.0 z)))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
35.0ms
(/ t (- 1.0 z))
49.0ms
(* x (* 1 (- (/ y z) (/ t (- 1.0 z)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0430636
11659586
25002582

prune205.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

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)))
0.8b
(/ 1 (/ (- 1.0 z) t))
5.7b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite268.0ms

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:
7.0ms
(/ (- 1.0 z) t)
51.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
9.0ms
(/ 1 (/ (- 1.0 z) t))
191.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 z) t)
33.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
30.0ms
(/ 1 (/ (- 1.0 z) t))
46.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify86.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07521650
133961387
250021375

prune397.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.7b
(* x (* (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
8.1b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
8.1b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
8.1b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
153×cbrt-div
107×add-sqr-sqrt
81×frac-times
78×associate-*r/
57×times-frac
51×flip3-- frac-sub flip--
48×cbrt-prod
41×*-un-lft-identity
30×difference-of-squares
27×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube distribute-lft-out--
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 165
Calls
4 calls:
1.3s
(* x (* (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
49.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
49.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
50.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
133.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
136.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
140.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07393509
117383310
250013158

prune550.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes278.0ms

Accuracy

78.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05252
15452
25452

end0.0ms

sample549.0ms

Algorithm
intervals
Results
305.0ms10099×body80valid