Details

Time bar (total: 2.0s)

sample22.0ms

Algorithm
intervals
Results
8.0ms315×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
38.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0254285
11225238
25001238

prune94.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
8.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04551177
121101129
250021126

prune256.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.2b
(* z (/ 1 (+ (- y z) 1.0)))
2.4b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
8.0ms
(/ 1 (+ (- y z) 1.0))
12.0ms
(* z (/ 1 (+ (- y z) 1.0)))
12.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series135.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (+ (- y z) 1.0))
46.0ms
(* z (/ 1 (+ (- y z) 1.0)))
54.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0377685
11729569
25003517

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
2.8b
(* x (/ (+ (- y z) 1.0) z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
8.0ms
(/ (+ (- y z) 1.0) z)
16.0ms
(* x (/ (+ (- y z) 1.0) z))

series64.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (+ (- y z) 1.0) z)
40.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0267479
11167438
25001432

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

63.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.2b

bsearch58.0ms

Steps
ItersRangePoint
6
1.0373295748430644e+104
5.016506218346833e+104
1.0502220249582006e+104
9
-5.644782479640682e+127
-5.549542151216379e+118
-5.6674625948064095e+118

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample461.0ms

Algorithm
intervals
Results
260.0ms10167×body80valid