Details

Time bar (total: 12.0s)

sample49.0ms

Algorithm
intervals
Results
27.0ms276×body80valid
1.0ms5×body1280valid
1.0ms3×body640valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite165.0ms

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:
46.0ms
(+ (+ 10.0 d2) 20.0)
116.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (+ 10.0 d2) 20.0)
62.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify1.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (762.0ms)

IterNodesCost
065392
1177380
2610342
33072334
done5001334

prune125.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
98.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

simplify1.8s

Counts
27 → 27
Iterations

Useful iterations: 3 (779.0ms)

IterNodesCost
051253
1147246
2537218
32782212
done5002212

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
0.2b
(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
86.0ms
(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
153.0ms
(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
52.0ms
(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

simplify3.5s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01161113
1304861
2931757
34186745
done5000745

prune185.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ d2 20.0) (+ d2 20.0))
0.0b
(- 10.0 (+ d2 20.0))
4.5b
(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
11.0b
(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
22×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
9×distribute-lft-out add-log-exp
8×associate-*r*
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ distribute-lft-out--
4×frac-times flip3-- flip-- difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus clear-num sum-log pow-sqr pow-prod-up div-inv associate-/l* associate--r+
Counts
4 → 113
Calls
4 calls:
54.0ms
(* (+ d2 20.0) (+ d2 20.0))
21.0ms
(- 10.0 (+ d2 20.0))
58.0ms
(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
102.0ms
(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ d2 20.0) (+ d2 20.0))
39.0ms
(- 10.0 (+ d2 20.0))
76.0ms
(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
148.0ms
(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

simplify1.7s

Counts
125 → 125
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01891962
15201828
220281586
done50001374

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample861.0ms

Algorithm
intervals
Results
512.0ms9031×body80valid
10.0ms55×body1280valid
7.0ms51×body640valid
2.0ms20×body320valid
1.0ms15×body160valid