Details

Time bar (total: 14.3s)

sample50.0ms

Algorithm
intervals
Results
22.0ms310×body80valid
2.0ms8×body640valid
1.0ms7×body320valid
1.0ms4×body160valid
0.0ms1×body1280valid

simplify76.0ms

Counts
1 → 1
Iterations
IterNodes
done93
593
486
373
245
119
09

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ (+ 3.0 d3) d2) d1)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
119.0ms
(* (+ (+ 3.0 d3) d2) d1)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (+ (+ 3.0 d3) d2) d1)

simplify868.0ms

Counts
27 → 27
Iterations
IterNodes
done5002
2701
1135
050

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d3) (+ 3.0 d3))
2.4b
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
8.3b
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
13.5b
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×associate-*l* distribute-lft-out
7×associate-*r*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u frac-times flip3-- log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate--l+ associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num sub-neg frac-2neg pow-plus fma-neg diff-log prod-diff pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 117
Calls
4 calls:
46.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
33.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
76.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
81.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

series292.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
56.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
98.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
116.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

simplify2.5s

Counts
129 → 129
Iterations
IterNodes
done5000
24131
1599
0191

prune702.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma d3 6.0 (fma d3 d3 9.0))
2.4b
(- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2))
8.3b
(* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1)
13.5b
(/ (* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
10×add-cube-cbrt
6×pow1 associate-/r* times-frac add-log-exp
4×expm1-log1p-u flip3-- associate-*l* associate-*l/ log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×fma-neg associate-*r* prod-diff
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod fma-udef distribute-lft-out associate-/l/
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate--l+ *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 88
Calls
4 calls:
0.0ms
(fma d3 6.0 (fma d3 d3 9.0))
9.0ms
(- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2))
23.0ms
(* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1)
47.0ms
(/ (* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

series308.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma d3 6.0 (fma d3 d3 9.0))
74.0ms
(- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2))
96.0ms
(* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1)
101.0ms
(/ (* (- (fma d3 6.0 (fma d3 d3 9.0)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5000
22522
1416
0155

prune548.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* d2 d2) (* d2 d2))
2.4b
(* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1)
6.8b
(- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2)))
31.3b
(/ (* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1) (* (- (+ 3.0 d3) d2) (+ (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))))

rewrite826.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
30×add-cbrt-cube add-exp-log
24×pow-prod-down
22×pow-sqr
18×pow-plus
13×pow2 prod-exp cbrt-unprod
8×add-sqr-sqrt associate-/r/
6×*-un-lft-identity flip3-- associate-*l/ add-cube-cbrt flip-- add-log-exp
5×associate-*l*
4×distribute-rgt-in expm1-log1p-u frac-times cbrt-undiv distribute-lft-in div-exp associate-*r* associate--l+ log1p-expm1-u
3×flip3-+ flip-+
2×associate-*r/ *-commutative difference-of-squares unswap-sqr associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log swap-sqr prod-diff div-inv associate-/l*
Counts
4 → 142
Calls
4 calls:
28.0ms
(* (* d2 d2) (* d2 d2))
432.0ms
(* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1)
108.0ms
(- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2)))
253.0ms
(/ (* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1) (* (- (+ 3.0 d3) d2) (+ (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (* d2 d2) (* d2 d2))
189.0ms
(* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1)
168.0ms
(- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2)))
210.0ms
(/ (* (- (* (* (+ 3.0 d3) (+ 3.0 d3)) (* (+ 3.0 d3) (+ 3.0 d3))) (* (* d2 d2) (* d2 d2))) d1) (* (- (+ 3.0 d3) d2) (+ (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))))

simplify2.8s

Counts
154 → 154
Iterations
IterNodes
done5000
24933
1699
0212

prune725.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
673.0ms9530×body80valid
80.0ms203×body640valid
25.0ms101×body1280valid
24.0ms151×body320valid
7.0ms68×body160valid