Details

Time bar (total: 4.6s)

sample58.0ms

Algorithm
intervals
Results
17.0ms274×body80valid
14.0ms274×body80nan

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1657
21827
33387
44887
57577
611667
717297
827937
950017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ 1.0 (* x 9.0))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 84
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
153.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(* 3.0 (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series134.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ y (/ 1.0 (* x 9.0)))
59.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
34.0ms
(* 3.0 (sqrt x))
16.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0456548
12172486
25002484

prune195.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.2b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
176.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
158.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms
(/ 1.0 (* x 9.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ y (/ 1.0 (* x 9.0)))
54.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
59.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
15.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0427770
11858694
25002694

prune207.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.2b
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 147
Calls
4 calls:
22.0ms
(+ y (/ (/ 1.0 x) 9.0))
370.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
305.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
11.0ms
(/ (/ 1.0 x) 9.0)

series156.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ y (/ (/ 1.0 x) 9.0))
55.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
61.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))
16.0ms
(/ (/ 1.0 x) 9.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06491136
127071056
250011056

prune368.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.6b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
33×add-sqr-sqrt
24×pow1
21×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
18×times-frac
13×associate-*l*
12×distribute-rgt-in distribute-lft-in swap-sqr
11×associate-*r*
8×sqrt-pow1 pow1/2
6×pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
5×associate-*r/ pow-prod-up
4×cbrt-undiv sub-neg sqrt-div div-exp associate--l+ add-log-exp unswap-sqr
3×pow-sqr
2×frac-2neg clear-num associate-/r* *-commutative
1×pow2 frac-times flip3-- pow-plus sqrt-unprod associate-*l/ rem-square-sqrt flip--
Counts
4 → 138
Calls
4 calls:
69.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
8.0ms
(/ 1.0 (* x 9.0))
8.0ms
(/ 1.0 (* x 9.0))
46.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* 3.0 (* (sqrt x) (- (+ y (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))) 1.0)))
16.0ms
(/ 1.0 (* x 9.0))
15.0ms
(/ 1.0 (* x 9.0))
56.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05181027
12522790
25001747

prune319.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample917.0ms

Algorithm
intervals
Results
271.0ms8517×body80valid
265.0ms8631×body80nan