Details

Time bar (total: 10.0s)

sample38.0ms

Algorithm
intervals
Results
16.0ms287×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0911
1199
2457
3737
4867
5937
done937

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×associate-*r* add-cube-cbrt
4×pow1 fma-def add-cbrt-cube add-exp-log
3×sum-log associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
117.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
44.0ms
(+ (+ 10.0 d2) 20.0)

series66.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
28.0ms
(+ (+ 10.0 d2) 20.0)

simplify581.0ms

Counts
53 → 53
Iterations

Useful iterations: done (579.0ms)

IterNodesCost
069420
1201401
2829365
done5000361

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
30.0ms
(* d1 (+ d2 30.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* d1 (+ d2 30.0))

simplify2.1s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
048206
1144195
2549177
33737175
done5000175

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 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) (+ 10.0 d2))
5.3b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
6.8b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
30×add-sqr-sqrt
20×add-cube-cbrt
14×prod-diff
13×pow1 add-cbrt-cube add-exp-log distribute-lft-out
9×add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r*
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*r/ flip-+ distribute-lft-out--
5×associate--l+
4×expm1-log1p-u frac-times flip3-- fma-neg log1p-expm1-u flip-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num sum-log frac-2neg pow-plus pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 143
Calls
4 calls:
40.0ms
(- (+ 10.0 d2) 20.0)
26.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
70.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
63.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series322.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (+ 10.0 d2) 20.0)
28.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
79.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
182.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify2.6s

Counts
155 → 155
Iterations

Useful iterations: 2 (880.0ms)

IterNodesCost
02302487
16842230
244071913
done50001913

prune576.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

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)))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
16×associate-*r*
15×add-sqr-sqrt
14×sqrt-div distribute-lft-out add-log-exp
11×pow1 add-cbrt-cube add-exp-log add-cube-cbrt sqrt-prod
10×associate-*r/
9×flip3-+ flip-+
8×fma-def
6×sum-log
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+l+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 103
Calls
4 calls:
38.0ms
(+ (+ 10.0 d2) 20.0)
27.0ms
(+ (+ 10.0 d2) 20.0)
85.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
162.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (+ 10.0 d2) 20.0)
19.0ms
(+ (+ 10.0 d2) 20.0)
84.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
37.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify956.0ms

Counts
115 → 115
Iterations

Useful iterations: done (951.0ms)

IterNodesCost
01351465
13571181
218431075
done50011049

prune540.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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

sample912.0ms

Algorithm
intervals
Results
564.0ms9057×body80valid
11.0ms54×body1280valid
8.0ms51×body640valid
3.0ms23×body320valid
1.0ms13×body160valid