Details

Time bar (total: 2.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify116.0ms

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: 12.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.4b
(/ (* 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×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:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* 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

prune121.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.1b
(/ x (* z z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
26.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify63.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0474544
12399458
25002458

prune180.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
55×add-cbrt-cube
40×prod-exp
36×add-sqr-sqrt
34×times-frac
30×*-un-lft-identity div-exp
26×associate-*l*
24×add-cube-cbrt
22×cbrt-unprod
19×associate-*r*
17×cbrt-undiv
9×pow1
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ unswap-sqr
3×div-inv distribute-lft-out
2×expm1-log1p-u associate-/r/ *-commutative log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 120
Calls
2 calls:
28.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
21.0ms
(* (/ x z) (/ y (+ z 1.0)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
47.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0737963
14039768
25001760

prune239.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ (* (/ x z) (/ y (+ z 1.0))) z)
2.4b
(* (/ x z) (/ y (+ z 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
31×add-sqr-sqrt
28×times-frac
25×*-un-lft-identity
19×add-cube-cbrt
18×associate-*r*
13×cbrt-undiv div-exp associate-*l*
8×prod-exp cbrt-unprod
4×pow1 unswap-sqr
3×associate-/r* div-inv associate-/l/ distribute-lft-out
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ associate-/r/ log1p-expm1-u add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ associate-/l*
Counts
2 → 89
Calls
2 calls:
8.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
24.0ms
(* (/ x z) (/ y (+ z 1.0)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)
47.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0573672
12979559
25002559

prune193.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes159.0ms

Accuracy

24.6% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612
12612

end0.0ms

sample542.0ms

Algorithm
intervals
Results
309.0ms10851×body80valid