Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms320×body80valid

simplify17.0ms

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: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite180.0ms

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:
10.0ms
(/ t (- 1.0 z))
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
128.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ t (- 1.0 z))
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387632
11452595
25001593

prune235.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

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)))
5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite111.0ms

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:
12.0ms
(/ 1 (- 1.0 z))
19.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
29.0ms
(* t (/ 1 (- 1.0 z)))
47.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (- 1.0 z))
37.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
37.0ms
(* t (/ 1 (- 1.0 z)))
51.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0495827
12159731
25001689

prune263.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
7.3b
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
7.3b
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
7.3b
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
12×cbrt-div
8×add-sqr-sqrt frac-sub
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×flip3-- un-div-inv flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 65
Calls
4 calls:
45.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
17.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
15.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
15.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
270.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
240.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
246.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0288816
11109717
25002709

prune247.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
7.3b
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
7.3b
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
7.7b
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
12×cbrt-div
9×add-sqr-sqrt
8×frac-sub
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
5×cbrt-prod
4×flip3-- un-div-inv flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
44.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
16.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
14.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
10.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))
265.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
238.0ms
(cbrt (* x (- (/ y z) (* t (/ 1 (- 1.0 z))))))
144.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0354834
11245745
25001736

prune277.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

35.2% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03118
13118

end0.0ms

sample628.0ms

Algorithm
intervals
Results
282.0ms10124×body80valid