Details

Time bar (total: 4.1s)

sample59.0ms

Algorithm
intervals
Results
24.0ms270×body80valid
20.0ms273×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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
69.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

series151.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
63.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0456548
12172486
25002484

prune210.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

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:
5.0ms
(+ y (/ 1.0 (* x 9.0)))
81.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms
(/ 1.0 (* x 9.0))
71.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ 1.0 (* x 9.0)))
64.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(/ 1.0 (* x 9.0))
69.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0427770
11858694
25002694

prune223.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×associate-*l*
8×associate-*r* prod-exp cbrt-unprod
7×pow-prod-down
4×associate-*l/ sqrt-prod add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv flip3-+ associate-*r/ div-exp flip-+ unswap-sqr
1×distribute-lft-neg-out frac-2neg clear-num associate-/r* distribute-rgt-neg-out div-inv distribute-lft-out
Counts
4 → 85
Calls
4 calls:
3.0ms
(/ 1.0 (* x 9.0))
20.0ms
(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
12.0ms
(* 3.0 (* (- 1.0) (sqrt x)))
20.0ms
(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 1.0 (* x 9.0))
71.0ms
(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
41.0ms
(* 3.0 (* (- 1.0) (sqrt x)))
62.0ms
(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0463615
12063523
25001521

prune241.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (+ y (/ 1.0 (* x 9.0))))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (* (- 1.0) (sqrt x)))
0.4b
(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt associate-*r*
8×prod-exp cbrt-unprod
7×associate-*l* pow-prod-down
4×associate-*r/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×cbrt-undiv flip3-+ div-exp associate-*l/ flip-+
1×distribute-lft-neg-out distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* distribute-rgt-neg-out div-inv distribute-lft-out unswap-sqr
Counts
4 → 86
Calls
4 calls:
18.0ms
(* 3.0 (+ y (/ 1.0 (* x 9.0))))
3.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (* (- 1.0) (sqrt x)))
26.0ms
(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

series166.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 3.0 (+ y (/ 1.0 (* x 9.0))))
20.0ms
(/ 1.0 (* x 9.0))
41.0ms
(* 3.0 (* (- 1.0) (sqrt x)))
70.0ms
(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0501574
12475488
25002486

prune210.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
13111
23511
33511

end0.0ms

sample1.6s

Algorithm
intervals
Results
691.0ms8550×body80valid
640.0ms8655×body80nan