Details

Time bar (total: 17.1s)

sample87.0ms

Algorithm
intervals
Results
40.0ms377×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5001
42024
3382
2112
138
018

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(* (- y 1.0) z)
0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b
(* (- (+ y t) 2.0) b)

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
22×add-sqr-sqrt
19×*-un-lft-identity flip3-- flip--
16×associate-*l*
13×add-log-exp
12×frac-add
10×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r*
8×frac-sub
4×associate-+l+ distribute-lft-out--
3×sum-log diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg associate--l+
1×+-commutative flip3-+ associate-+l- flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
35.0ms
(* (- t 1.0) a)
34.0ms
(* (- y 1.0) z)
180.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
121.0ms
(* (- (+ y t) 2.0) b)

series398.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- t 1.0) a)
34.0ms
(* (- y 1.0) z)
260.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
53.0ms
(* (- (+ y t) 2.0) b)

simplify1.8s

Counts
109 → 109
Iterations
IterNodes
done5000
24782
1898
0266

prune760.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(+ (- (- (* (- y 1.0) z)) (* (- t 1.0) a)) (* b (- (+ t y) 2.0)))
0.0b
(* (- y 1.0) z)
0.0b
(* b (- (+ t y) 2.0))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×associate-*l/
19×*-un-lft-identity flip3-- flip--
14×associate-*r/
13×associate-*l*
12×associate-*r* frac-add add-log-exp
10×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
8×frac-sub distribute-neg-frac
6×distribute-rgt-in associate-+r+ distribute-lft-in
5×sub-neg
4×associate--l+ distribute-lft-out--
3×sum-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×associate-+l+ diff-log
1×+-commutative flip3-+ neg-log associate-+l- flip-+ distribute-lft-out
Counts
4 → 107
Calls
4 calls:
26.0ms
(* (- t 1.0) a)
91.0ms
(+ (- (- (* (- y 1.0) z)) (* (- t 1.0) a)) (* b (- (+ t y) 2.0)))
34.0ms
(* (- y 1.0) z)
104.0ms
(* b (- (+ t y) 2.0))

series280.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- t 1.0) a)
133.0ms
(+ (- (- (* (- y 1.0) z)) (* (- t 1.0) a)) (* b (- (+ t y) 2.0)))
57.0ms
(* (- y 1.0) z)
42.0ms
(* b (- (+ t y) 2.0))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5000
24994
1934
0271

prune873.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
37.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
6.0ms
(cbrt (- y 1.0))
6.0ms
(cbrt (- y 1.0))
5.0ms
(cbrt (- y 1.0))

series624.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
161.0ms
(cbrt (- y 1.0))
131.0ms
(cbrt (- y 1.0))
147.0ms
(cbrt (- y 1.0))

simplify830.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21460
1396
0167

prune922.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) (+ t y))
0.0b
(pow (+ t y) 3)
6.9b
(* b (- (pow (+ t y) 3) (pow 2.0 3)))
21.0b
(/ (* b (- (pow (+ t y) 3) (pow 2.0 3))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
43×add-sqr-sqrt
33×associate-*r*
28×flip3-+ flip-+
20×unpow-prod-down cube-prod
18×associate-/r/
16×frac-add difference-of-squares
15×add-cube-cbrt
14×pow1 add-cbrt-cube add-exp-log
12×frac-times distribute-lft-out
10×associate-*r/
9×distribute-lft-out-- sqr-pow
7×associate-*l*
6×swap-sqr associate-*l/
4×add-log-exp
3×distribute-rgt-in pow-unpow associate-/r* distribute-lft-in times-frac prod-exp cbrt-unprod
2×cube-div cbrt-undiv sub-neg flip3-- div-exp pow-prod-down *-commutative flip-- unswap-sqr associate-/l/
1×pow2 cube-mult pow-to-exp difference-cubes clear-num pow-pow frac-2neg pow-plus unpow3 pow-exp pow-sqr pow-prod-up div-inv associate-/l* rem-cube-cbrt
Counts
4 → 158
Calls
4 calls:
27.0ms
(* (+ t y) (+ t y))
8.0ms
(pow (+ t y) 3)
268.0ms
(* b (- (pow (+ t y) 3) (pow 2.0 3)))
166.0ms
(/ (* b (- (pow (+ t y) 3) (pow 2.0 3))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ t y) (+ t y))
56.0ms
(pow (+ t y) 3)
170.0ms
(* b (- (pow (+ t y) 3) (pow 2.0 3)))
285.0ms
(/ (* b (- (pow (+ t y) 3) (pow 2.0 3))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

simplify696.0ms

Counts
170 → 170
Iterations
IterNodes
done5000
11140
0304

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes571.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done31
231
129
019

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.8s12491×body80valid
1.0ms2×body640valid
1.0ms4×body320valid