Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
22.0ms361×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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×flip3-+ associate-/r/ flip-+ 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 → 51
Calls
2 calls:
16.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
65.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

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))

rewrite37.0ms

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×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
7.0ms
(/ y (+ z 1.0))
22.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series106.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune226.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite60.0ms

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×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
25.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
23.0ms
(* (/ x z) (/ y (+ z 1.0)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
50.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07821119
14277918
25001910

prune281.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ y (+ z 1.0)) z)
1.1b
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
6.1b
(* x (/ (/ y (+ z 1.0)) z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
165×*-un-lft-identity
124×add-sqr-sqrt
115×add-cube-cbrt
80×add-exp-log
59×associate-*r*
52×add-cbrt-cube
31×prod-exp
27×div-exp
25×distribute-lft-out
21×associate-/l*
17×cbrt-undiv cbrt-unprod
16×associate-*l* associate-/r/
11×pow1 div-inv
8×flip3-+ flip-+
7×associate-/r*
4×rec-exp 1-exp associate-*r/ pow-prod-down add-log-exp
3×unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 254
Calls
4 calls:
5.0ms
(/ y (+ z 1.0))
11.0ms
(/ (/ y (+ z 1.0)) z)
35.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
30.0ms
(* x (/ (/ y (+ z 1.0)) z))

series185.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (+ z 1.0))
41.0ms
(/ (/ y (+ z 1.0)) z)
44.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
68.0ms
(* x (/ (/ y (+ z 1.0)) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010191948
150011749

prune538.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes147.0ms

Accuracy

51.6% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03524
13524

end0.0ms

sample872.0ms

Algorithm
intervals
Results
645.0ms10851×body80valid