Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms289×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1295
2455
3565
4745
5865
61205
71365
81465
91505
101605
114465
1226955
1350015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
6.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 54
Calls
2 calls:
32.0ms
(* x (+ (/ x y) 1.0))
16.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series75.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ (/ x y) 1.0))
47.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0306352
11568305
25001304

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 150
Calls
2 calls:
26.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
73.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05041464
123901406
250021404

prune310.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.1b
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out
4×pow1 flip3-+ associate-*r* associate-/r* associate-/r/ flip-+
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
6.0ms
(/ x (+ x 1.0))
42.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (+ x 1.0))
54.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0474534
12069486
25001486

prune193.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series809.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt x) (cbrt x))
192.0ms
(cbrt x)
199.0ms
(cbrt x)
196.0ms
(cbrt x)

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample392.0ms

Algorithm
intervals
Results
245.0ms9145×body80valid