Details

Time bar (total: 2.9s)

sample40.0ms

Algorithm
intervals
Results
28.0ms349×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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)))

simplify60.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0387405
12384314
25001313

prune116.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 77
Calls
2 calls:
11.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
5.0ms
(/ (* x y) (* z z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (/ (* x y) (* z z)) (+ z 1.0))
31.0ms
(/ (* x y) (* z z))

simplify58.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0417626
12184535
25002535

prune144.0ms

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))

rewrite27.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ associate-/r/ log1p-expm1-u distribute-lft-out add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ associate-/l*
Counts
2 → 88
Calls
2 calls:
10.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
13.0ms
(* (/ x z) (/ y z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
32.0ms
(* (/ x z) (/ y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0536587
12675489
25001488

prune182.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite53.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 129
Calls
3 calls:
23.0ms
(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
16.0ms
(* (* x (/ y z)) (/ 1 z))
8.0ms
(* x (/ y z))

series120.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
30.0ms
(* (* x (/ y z)) (/ 1 z))
19.0ms
(* x (/ y z))

simplify97.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0673860
14267666
25001656

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes120.0ms

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

sample1.1s

Algorithm
intervals
Results
861.0ms10587×body80valid