Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms359×body80valid

simplify121.0ms

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: 13.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite30.0ms

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:
17.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
66.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0387405
12384314
25001313

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.9b
(/ x (* z z))

rewrite40.0ms

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))
27.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
57.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune470.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.7b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite62.0ms

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:
5.0ms
(/ y (+ z 1.0))
29.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
21.0ms
(* (/ x z) (/ y (+ z 1.0)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
49.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
07951149
14362939
25001939

prune317.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(/ (* (/ x z) (/ y (+ z 1.0))) z)
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*r*
14×cbrt-undiv div-exp
13×associate-*l*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
9.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
21.0ms
(* (/ x z) (/ y (+ z 1.0)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
49.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0630858
13298730
25002730

prune315.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0.6% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch65.0ms

Steps
ItersRangePoint
5
1.8725839793603813e+68
4.793361489733919e+68
2.746616074133984e+68
8
2.2861934078824415e-128
2.2949818134998504e-125
9.911470405844933e-126

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample512.0ms

Algorithm
intervals
Results
299.0ms10798×body80valid