Details

Time bar (total: 2.8s)

sample36.0ms

Algorithm
intervals
Results
25.0ms349×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
11.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite26.0ms

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:
13.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
73.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune103.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ (* x y) (* z z)) (+ z 1.0))
11.8b
(/ (* x y) (* z z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
26×times-frac
25×*-un-lft-identity
13×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp
8×prod-exp cbrt-unprod
7×div-inv
6×distribute-lft-out associate-/l*
5×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
7.0ms
(/ (* x y) (* z z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
32.0ms
(/ (* x y) (* z z))

simplify58.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0410606
12148518
25002518

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (* (/ x z) (/ y z)) (+ z 1.0))
4.7b
(* (/ x z) (/ y z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
30×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
18×add-cube-cbrt
13×cbrt-undiv div-exp associate-*r* associate-*l*
8×prod-exp cbrt-unprod
4×pow1 associate-/r* unswap-sqr
3×div-inv associate-/l/
2×frac-times associate-*r/ associate-*l/ associate-/r/ distribute-lft-out add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ associate-/l*
Counts
2 → 84
Calls
2 calls:
10.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
13.0ms
(* (/ x z) (/ y z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
30.0ms
(* (/ x z) (/ y z))

simplify63.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0529567
12640472
25001471

prune179.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
1.6b
(* (* x (/ y z)) (/ 1 z))
5.5b
(* x (/ y z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
58×add-cbrt-cube
42×prod-exp
34×div-exp
26×associate-*r*
25×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac
22×cbrt-unprod
20×add-cube-cbrt
18×cbrt-undiv
10×pow1
7×associate-*r/
6×rec-exp 1-exp
4×associate-*l* pow-prod-down associate-/r* associate-/l/
3×div-inv add-log-exp
2×frac-times associate-*l/ associate-/r/ un-div-inv *-commutative distribute-lft-out unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ associate-/l*
Counts
3 → 123
Calls
3 calls:
18.0ms
(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
16.0ms
(* (* x (/ y z)) (/ 1 z))
7.0ms
(* x (/ y z))

series128.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
37.0ms
(* (* x (/ y z)) (/ 1 z))
21.0ms
(* x (/ y z))

simplify107.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
0664830
14226639
25002617

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes119.0ms

Accuracy

78.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03029
13329
23914
34214
44814
55914
66614
76714
86714

end0.0ms

sample1.0s

Algorithm
intervals
Results
762.0ms10587×body80valid