Details

Time bar (total: 15.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms300×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune4.0ms

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

rewrite148.0ms

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:
104.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
41.0ms
(+ (+ 10.0 d2) 20.0)

series68.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
29.0ms
(+ (+ 10.0 d2) 20.0)

simplify1.8s

Counts
45 → 45
Iterations

Useful iterations: 3 (786.0ms)

IterNodesCost
065392
1177380
2609342
33059334
done5002334

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite48.0ms

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:
47.0ms
(* d1 (+ d2 30.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* d1 (+ d2 30.0))

simplify4.8s

Counts
26 → 26
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
046194
1127183
2383163
31293163
44250163
done5001163

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
0.0b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
3.8b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
8.4b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite341.0ms

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:
65.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
20.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
101.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
147.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series297.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
34.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
73.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
172.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify1.3s

Counts
127 → 127
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01862147
15122001
219921725
done50021503

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
1.0b
(pow (sqrt (+ 10.0 d2)) 4)
1.9b
(* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)))
11.6b
(/ (* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3))) (* (+ (+ (pow 20.0 4) (pow (+ 10.0 d2) 4)) (* (* (pow (sqrt (+ 10.0 d2)) 4) 20.0) 20.0)) (+ 10.0 (- d2 20.0))))

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
21×associate-*r* add-cbrt-cube
20×add-sqr-sqrt
16×pow1 unpow-prod-down difference-of-squares
14×*-un-lft-identity
12×flip3-+ flip-+
10×add-cube-cbrt sqr-pow
9×pow-pow cube-prod
8×cube-div frac-times associate-*r/ associate-/r/
6×pow-unpow prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l/ sqrt-prod add-log-exp
3×associate-*l* pow-exp
2×distribute-rgt-in pow-to-exp sub-neg flip3-- distribute-lft-in pow-prod-down flip-- associate-/l/ rem-cube-cbrt
1×difference-cubes pow2 cube-mult frac-2neg sqrt-pow1 times-frac pow-plus pow1/2 unpow3 clear-num associate-/r* pow-sqr *-commutative pow-prod-up sqrt-pow2 div-inv distribute-lft-out associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
26.0ms
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
11.0ms
(pow (sqrt (+ 10.0 d2)) 4)
141.0ms
(* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)))
299.0ms
(/ (* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3))) (* (+ (+ (pow 20.0 4) (pow (+ 10.0 d2) 4)) (* (* (pow (sqrt (+ 10.0 d2)) 4) 20.0) 20.0)) (+ 10.0 (- d2 20.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (* (+ 10.0 d2) (+ 10.0 d2)) 3)
92.0ms
(pow (sqrt (+ 10.0 d2)) 4)
231.0ms
(* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3)))
782.0ms
(/ (* d1 (- (pow (* (+ 10.0 d2) (+ 10.0 d2)) 3) (pow (* 20.0 20.0) 3))) (* (+ (+ (pow 20.0 4) (pow (+ 10.0 d2) 4)) (* (* (pow (sqrt (+ 10.0 d2)) 4) 20.0) 20.0)) (+ 10.0 (- d2 20.0))))

simplify2.5s

Counts
143 → 143
Iterations

Useful iterations: 2 (895.0ms)

IterNodesCost
03153713
110113511
243582411
done50022411

prune916.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
055
175
done75

end0.0ms

sample872.0ms

Algorithm
intervals
Results
529.0ms9029×body80valid
7.0ms45×body640valid
7.0ms38×body1280valid
2.0ms15×body320valid
1.0ms11×body160valid