Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
11.0ms342×body80valid

simplify115.0ms

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: 18.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
17.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite63.0ms

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:
33.0ms
(* (* z z) (+ z 1.0))
28.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0387405
12384314
25001313

prune116.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.9b
(/ x (* z z))

rewrite72.0ms

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:
14.0ms
(/ y (+ z 1.0))
46.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series109.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
23.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0534730
12689629
25003629

prune256.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.3b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite111.0ms

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))
54.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
37.0ms
(* (/ x z) (/ y (+ z 1.0)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
48.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
07951149
14362939
25001939

prune311.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ z 1.0))
0.1b
(* y (/ 1 (+ z 1.0)))
1.3b
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
1.8b
(* (/ x z) (* y (/ 1 (+ z 1.0))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
251×add-exp-log
138×prod-exp
97×add-cbrt-cube
71×div-exp
51×*-un-lft-identity
46×cbrt-unprod
44×times-frac
43×add-sqr-sqrt
36×add-cube-cbrt
29×associate-*l*
24×cbrt-undiv
23×rec-exp 1-exp
21×pow1
20×associate-*r*
18×associate-*r/
11×frac-times
10×pow-prod-down
7×un-div-inv distribute-lft-out
4×expm1-log1p-u associate-*l/ associate-/r* associate-/r/ log1p-expm1-u div-inv add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×flip3-+ flip-+
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 225
Calls
4 calls:
13.0ms
(/ 1 (+ z 1.0))
29.0ms
(* y (/ 1 (+ z 1.0)))
127.0ms
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
48.0ms
(* (/ x z) (* y (/ 1 (+ z 1.0))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (+ z 1.0))
33.0ms
(* y (/ 1 (+ z 1.0)))
51.0ms
(* (/ 1 z) (* (/ x z) (* y (/ 1 (+ z 1.0)))))
50.0ms
(* (/ x z) (* y (/ 1 (+ z 1.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010021686
150011261

prune333.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample584.0ms

Algorithm
intervals
Results
283.0ms10816×body80valid