Details

Time bar (total: 13.4s)

sample35.0ms

Algorithm
intervals
Results
15.0ms294×body80valid
1.0ms3×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify104.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0911
1189
2347
3527
4677
5727
6777
done777

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite196.0ms

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:
49.0ms
(+ (+ 10.0 d2) 20.0)
145.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (+ 10.0 d2) 20.0)
53.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify829.0ms

Counts
45 → 45
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
065392
1191380
2778344
done5000334

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))
5.3b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
9.6b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite391.0ms

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:
36.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
63.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
130.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
155.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series368.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
26.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
82.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
221.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify3.4s

Counts
127 → 127
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01862147
15782025
237271749
done50001736

prune605.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite517.0ms

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:
62.0ms
(+ (+ 10.0 d2) 20.0)
57.0ms
(+ (+ 10.0 d2) 20.0)
130.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
263.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (+ 10.0 d2) 20.0)
28.0ms
(+ (+ 10.0 d2) 20.0)
91.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
57.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01291391
13441135
218071035
done50001011

prune551.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 20.0 (- 20.0 (+ 10.0 d2)))
0.0b
(pow (+ 10.0 d2) 3)
3.6b
(* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1)
17.4b
(/ (* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (- 20.0 (+ 10.0 d2)))))

rewrite849.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
22×associate-*r/
19×add-sqr-sqrt
18×associate-/r/
16×flip3-+ associate-*l* frac-add flip-+ distribute-lft-out
14×add-exp-log add-cbrt-cube
13×add-cube-cbrt
12×unpow-prod-down cube-prod
9×pow1 flip3-- associate-*r* flip--
8×frac-times associate-*l/
4×add-log-exp
3×pow-unpow times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv cube-div distribute-rgt-in sub-neg distribute-lft-in div-exp pow-prod-down *-commutative associate-/l/ distribute-lft-out-- unswap-sqr
1×cube-mult pow-to-exp pow-pow frac-2neg unpow3 pow-exp clear-num sum-cubes div-inv associate-/l* rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 125
Calls
4 calls:
133.0ms
(* 20.0 (- 20.0 (+ 10.0 d2)))
20.0ms
(pow (+ 10.0 d2) 3)
441.0ms
(* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1)
242.0ms
(/ (* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (- 20.0 (+ 10.0 d2)))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* 20.0 (- 20.0 (+ 10.0 d2)))
47.0ms
(pow (+ 10.0 d2) 3)
97.0ms
(* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1)
168.0ms
(/ (* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (- 20.0 (+ 10.0 d2)))))

simplify835.0ms

Counts
137 → 137
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
02743009
19842849
done50012578

prune924.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.0s

Algorithm
intervals
Results
622.0ms9071×body80valid
17.0ms55×body1280valid
8.0ms44×body640valid
4.0ms28×body320valid
1.0ms10×body160valid