Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms283×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:
37.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
13.0ms
(+ (+ 10.0 d2) 20.0)

series53.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
17.0ms
(+ (+ 10.0 d2) 20.0)

simplify89.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177179
1791157
24227156
35001156

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
12.0ms
(* d1 (+ d2 30.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (+ d2 30.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
012686
153476
2214776
3500176

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(pow (+ (+ 10.0 d2) 20.0) 3)
12.3b
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
36×cbrt-prod
24×add-sqr-sqrt
21×distribute-lft-out
19×associate-*r*
16×unpow-prod-down cube-prod
15×add-cube-cbrt
9×add-log-exp
7×pow1 add-exp-log
6×cube-div add-cbrt-cube
5×unswap-sqr
4×cbrt-div flip3-+ flip-+ sqr-pow
3×cube-mult pow-unpow unpow3 associate-*l* sum-log
2×associate-*r/
1×+-commutative pow-to-exp associate-+l+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 111
Calls
4 calls:
75.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
16.0ms
(+ (+ 10.0 d2) 20.0)
20.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
17.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series95.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
16.0ms
(+ (+ 10.0 d2) 20.0)
26.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
17.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0304564
11480534
25001523

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
1.9b
(* d1 (+ (pow d2 3) (pow 30.0 3)))
12.3b
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt associate-*r*
8×add-log-exp
7×add-cube-cbrt
5×pow1 distribute-lft-out
4×unpow-prod-down flip3-+ cube-prod associate-*r/ flip-+
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv associate-+r+ div-exp prod-exp sum-log associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-cubes *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 68
Calls
3 calls:
7.0ms
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
50.0ms
(* d1 (+ (pow d2 3) (pow 30.0 3)))
30.0ms
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

series261.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
87.0ms
(* d1 (+ (pow d2 3) (pow 30.0 3)))
150.0ms
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0378646
12052534
25001528

prune175.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
072
172

end0.0ms

sample378.0ms

Algorithm
intervals
Results
222.0ms9010×body80valid
6.0ms55×body1280valid
4.0ms47×body640valid
2.0ms31×body320valid
1.0ms16×body160valid