Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms300×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ (+ 10.0 d2) 20.0))
0.0b
(+ (+ 10.0 d2) 20.0)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
70.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
28.0ms
(+ (+ 10.0 d2) 20.0)

series44.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
15.0ms
(+ (+ 10.0 d2) 20.0)

simplify90.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0177179
1791157
24227156
35001156

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 10.0 (+ d2 20.0))
0.0b
(* d1 (+ 10.0 (+ d2 20.0)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
15.0ms
(+ 10.0 (+ d2 20.0))
53.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

series47.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ 10.0 (+ d2 20.0))
29.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183178
1804156
24159156
35002156

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
4.8b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
10.2b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
19×add-sqr-sqrt
12×pow1 add-exp-log add-cbrt-cube
11×add-cube-cbrt
8×associate-*r* distribute-lft-out
7×distribute-rgt-in distribute-lft-in associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+
4×frac-times associate--l+ distribute-lft-out--
3×flip3-- prod-exp flip-- cbrt-unprod add-log-exp difference-of-squares
2×cbrt-undiv sub-neg div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 100
Calls
3 calls:
31.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
67.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
68.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series168.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
47.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
107.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0506840
12556731
25002727

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 10.0 d2) 20.0)
0.0b
(pow (+ 10.0 d2) 3)
2.6b
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
17.8b
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
18×associate-/r/
17×add-sqr-sqrt flip3-+ flip-+
16×associate-*r* frac-add distribute-lft-out
14×add-exp-log add-cbrt-cube
13×add-cube-cbrt
12×unpow-prod-down cube-prod
9×pow1
8×frac-times flip3-- associate-*r/ flip--
7×associate-*l*
6×associate-*l/
4×add-log-exp
3×pow-unpow times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv cube-div div-exp pow-prod-down *-commutative associate-/l/ unswap-sqr
1×distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 pow-exp clear-num sum-cubes div-inv associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 121
Calls
4 calls:
19.0ms
(* (+ 10.0 d2) 20.0)
9.0ms
(pow (+ 10.0 d2) 3)
172.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
120.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ 10.0 d2) 20.0)
23.0ms
(pow (+ 10.0 d2) 3)
64.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
160.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
08861469
150011344

prune332.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample398.0ms

Algorithm
intervals
Results
195.0ms8966×body80valid
9.0ms56×body1280valid
4.0ms46×body640valid
2.0ms28×body320valid
1.0ms13×body160valid