Details

Time bar (total: 12.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms277×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms1×body320valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))

rewrite59.0ms

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:
14.0ms
(+ (+ 10.0 d2) 20.0)
43.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series51.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ 10.0 d2) 20.0)
32.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune70.0ms

Filtered
45 candidates to 28 candidates (62.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(+ (+ 10.0 d2) 20.0)
0.1b
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.2b
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt flip3-+ flip-+
6×sum-log
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
14.0ms
(+ (+ 10.0 d2) 20.0)
14.0ms
(+ (+ 10.0 d2) 20.0)
40.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
77.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series125.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (+ 10.0 d2) 20.0)
16.0ms
(+ (+ 10.0 d2) 20.0)
55.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
34.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0330639
11487549
25002535

prune184.0ms

Filtered
99 candidates to 60 candidates (60.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
4.9b
(* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1)
7.7b
(/ (* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1) (- (+ 10.0 d2) 20.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×associate-*l* distribute-lft-out
7×associate-*r*
6×flip3-+ times-frac swap-sqr associate-*l/ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
9.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
18.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
35.0ms
(* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1)
33.0ms
(/ (* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1) (- (+ 10.0 d2) 20.0))

series152.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
16.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
40.0ms
(* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1)
75.0ms
(/ (* (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)) d1) (- (+ 10.0 d2) 20.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0487901
12422788
25002784

prune208.0ms

Filtered
119 candidates to 75 candidates (63.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
1.7b
(* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1)
7.7b
(/ (/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))) (- (+ 10.0 d2) 20.0))
18.0b
(/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))))

rewrite893.0ms

Algorithm
rewrite-expression-head
Rules
2382×flip3-+ flip-+
2180×frac-times
1298×associate-/r/
1280×frac-add
1045×*-un-lft-identity
1038×times-frac
710×associate-*l/
706×associate-*r/
543×add-sqr-sqrt
341×distribute-lft-out--
193×add-cube-cbrt
186×difference-of-squares
170×distribute-lft-out associate-/l*
23×add-exp-log add-cbrt-cube
21×associate-*l*
14×pow1
9×unpow-prod-down cube-prod associate-/r* div-inv sqr-pow
8×cube-div
7×cbrt-undiv div-exp
6×pow-pow
4×prod-exp cbrt-unprod add-log-exp
3×pow-unpow flip3-- associate-*r* flip-- associate-/l/
2×frac-2neg pow-prod-down pow-exp clear-num rem-cube-cbrt
1×difference-cubes pow2 cube-mult pow-to-exp pow-plus unpow3 pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 1465
Calls
4 calls:
8.0ms
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
47.0ms
(* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1)
358.0ms
(/ (/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))) (- (+ 10.0 d2) 20.0))
193.0ms
(/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
84.0ms
(* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1)
223.0ms
(/ (/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))))) (- (+ 10.0 d2) 20.0))
146.0ms
(/ (* (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)) d1) (+ (* (* (+ 10.0 d2) (+ 10.0 d2)) (* (+ 10.0 d2) (+ 10.0 d2))) (+ (* (* 20.0 20.0) (* 20.0 20.0)) (* (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))))

simplify1.0s

Algorithm
egg-herbie
Counts
1477 → 1477
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05002122048

prune8.3s

Filtered
1477 candidates to 1046 candidates (70.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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

sample361.0ms

Algorithm
intervals
Results
208.0ms9016×body80valid
6.0ms62×body1280valid
4.0ms47×body640valid
1.0ms24×body320valid
0.0ms9×body160valid