Details

Time bar (total: 3.7s)

sample35.0ms

Algorithm
intervals
Results
22.0ms361×body80valid

simplify129.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
12.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (* z z) (+ z 1.0))
78.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0387405
12384314
25001313

prune128.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.6b
(/ x (* z z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
26.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series123.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z 1.0))
57.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
26.0ms
(/ x (* z z))

simplify75.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0534730
12689629
25003629

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.1b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
34.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
22.0ms
(* (/ x z) (/ y (+ z 1.0)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
52.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
07951149
14362939
25001939

prune351.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.1b
(* (/ 1 z) (/ (* x (/ y (+ z 1.0))) z))
2.8b
(/ (* x (/ y (+ z 1.0))) z)
4.0b
(* x (/ y (+ z 1.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
52×add-cbrt-cube
48×*-un-lft-identity
45×add-sqr-sqrt
42×times-frac
33×add-cube-cbrt
30×div-exp
28×prod-exp
25×associate-*r*
18×cbrt-undiv
16×associate-*l* cbrt-unprod
8×pow1
7×associate-/r* distribute-lft-out
5×div-inv unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-/r/ log1p-expm1-u associate-/l* add-log-exp
3×associate-*r/
2×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+
1×frac-times associate-*l/ associate-/l/
Counts
4 → 161
Calls
4 calls:
6.0ms
(/ y (+ z 1.0))
25.0ms
(* (/ 1 z) (/ (* x (/ y (+ z 1.0))) z))
7.0ms
(/ (* x (/ y (+ z 1.0))) z)
19.0ms
(* x (/ y (+ z 1.0)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ 1 z) (/ (* x (/ y (+ z 1.0))) z))
73.0ms
(/ (* x (/ y (+ z 1.0))) z)
62.0ms
(* x (/ y (+ z 1.0)))

simplify122.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
07541172
14189971
25001968

prune371.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

-13.1% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.0b

bsearch92.0ms

Steps
ItersRangePoint
6
3.78621090654188e-167
5.40238830313474e-166
4.299560771422437e-167
9
-8.296260735908338e-86
-6.802834606892297e-94
-9.387881885204632e-93

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample933.0ms

Algorithm
intervals
Results
684.0ms10851×body80valid