Details

Time bar (total: 2.7s)

sample29.0ms

Algorithm
intervals
Results
16.0ms277×body80valid
3.0ms1×body320valid
1.0ms4×body1280valid
1.0ms3×body640valid
0.0ms1×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

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))

rewrite54.0ms

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:
13.0ms
(+ (+ 10.0 d2) 20.0)
38.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series49.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (+ 10.0 d2) 20.0)
33.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune74.0ms

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)))
0.3b
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite139.0ms

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:
13.0ms
(+ (+ 10.0 d2) 20.0)
13.0ms
(+ (+ 10.0 d2) 20.0)
36.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
72.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ 10.0 d2) 20.0)
16.0ms
(+ (+ 10.0 d2) 20.0)
61.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
33.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0330639
11487549
25002535

prune182.0ms

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))
4.1b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
7.9b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 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×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
9.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
18.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
31.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
36.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series210.0ms

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))
52.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
120.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0516966
12579841
25002837

prune213.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b
(pow (+ (+ 10.0 d2) 20.0) 3)
16.5b
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite134.0ms

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:
13.0ms
(+ (+ 10.0 d2) 20.0)
76.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
20.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
20.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series96.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ 10.0 d2) 20.0)
32.0ms
(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
30.0ms
(pow (+ (+ 10.0 d2) 20.0) 3)
18.0ms
(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0304564
11480534
25001523

prune187.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes31.0ms

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

sample706.0ms

Algorithm
intervals
Results
525.0ms9001×body80valid
17.0ms67×body1280valid
7.0ms37×body640valid
4.0ms24×body320valid
2.0ms15×body160valid