Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify16.0ms

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: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite126.0ms

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:
25.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
93.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
49.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387632
11452595
25001593

prune230.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
6.3b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
16.0ms
(* t (/ 1 (- 1.0 z)))
28.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 z))
33.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
33.0ms
(* t (/ 1 (- 1.0 z)))
49.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0495827
12159731
25001689

prune275.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.3b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite724.0ms

Algorithm
rewrite-expression-head
Rules
153×cbrt-div
81×frac-times
78×associate-*r/
51×flip3-- frac-sub flip--
44×add-sqr-sqrt
41×*-un-lft-identity
30×cbrt-prod
27×associate-*l/
24×times-frac
13×pow1 add-exp-log
12×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 147
Calls
4 calls:
645.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
24.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
140.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
133.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
139.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify112.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
06802748
114602590
242432481
350022459

prune550.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite128.0ms

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:
25.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
93.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387632
11452595
25001593

prune226.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes381.0ms

Accuracy

93.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05556
15956
25956

end0.0ms

sample556.0ms

Algorithm
intervals
Results
297.0ms10181×body80valid