Details

Time bar (total: 8.0s)

sample17.0ms

Algorithm
intervals
Results
9.0ms288×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1199
2437
3657
4697
5707
done707

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
8.0ms
(+ 20.0 (+ 10.0 d2))
32.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ 20.0 (+ 10.0 d2))
32.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify1.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
069420
1191402
2671361
32759361
done5001361

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.6b
(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
3.0ms
(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms
(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series209.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
83.0ms
(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify897.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
054480
1104327
2374286
31826286
done5000286

prune70.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 20.0 (+ 10.0 d2))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
4.9b
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
9.9b
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite67.0ms

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:
10.0ms
(- 20.0 (+ 10.0 d2))
17.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
11.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
24.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- 20.0 (+ 10.0 d2))
16.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
47.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
121.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify1.1s

Counts
150 → 150
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
02192509
15752201
224111857
done50001857

prune447.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 30.0 d1 (* 1.0 (* 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 (* 1.0 (* d1 d2)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma 30.0 d1 (* 1.0 (* d1 d2)))

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 4 (73.0ms)

IterNodesCost
018138
125135
257119
3186106
474893
5353193
done500093

prune30.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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
078
198
done98

end0.0ms

sample363.0ms

Algorithm
intervals
Results
211.0ms9014×body80valid
6.0ms57×body1280valid
3.0ms41×body640valid
2.0ms30×body320valid
0.0ms10×body160valid