Details

Time bar (total: 9.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms292×body80valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1199
2457
3737
4857
5947
61007
done1007

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
6×distribute-lft-out
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
21.0ms
(+ 20.0 (+ 10.0 d2))
85.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ 20.0 (+ 10.0 d2))
44.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify765.0ms

Counts
52 → 52
Iterations

Useful iterations: done (763.0ms)

IterNodesCost
069420
1205402
2824366
done5000361

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 20.0 (+ 10.0 d2))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
3.5b
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
10.1b
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
30×add-sqr-sqrt
20×add-cube-cbrt
14×prod-diff
13×pow1 add-exp-log add-cbrt-cube
12×distribute-lft-out
9×add-log-exp
8×associate-*r*
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ distribute-lft-out--
4×distribute-rgt-in expm1-log1p-u frac-times flip3-- distribute-lft-in flip-- log1p-expm1-u difference-of-squares
3×sub-neg fma-neg 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 → 138
Calls
4 calls:
38.0ms
(- 20.0 (+ 10.0 d2))
69.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
50.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
77.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- 20.0 (+ 10.0 d2))
34.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
72.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
186.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify3.6s

Counts
150 → 150
Iterations

Useful iterations: 2 (884.0ms)

IterNodesCost
02192509
16472213
245851881
done50001881

prune414.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 30.0 d1 (* d1 d2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 30.0 d1 (* d1 d2))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma 30.0 d1 (* d1 d2))

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
016108
123105
26780
328480
4155180
done500280

prune31.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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
056
166
done66

end0.0ms

sample818.0ms

Algorithm
intervals
Results
503.0ms8982×body80valid
10.0ms53×body1280valid
7.0ms52×body640valid
4.0ms32×body320valid
1.0ms14×body160valid