Details

Time bar (total: 14.6s)

sample36.0ms

Algorithm
intervals
Results
18.0ms306×body80valid
2.0ms8×body640valid
1.0ms4×body1280valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify64.0ms

Counts
1 → 1
Iterations
IterNodes
done82
582
481
370
244
119
09

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d2 (+ 3 d3)) d1)

rewrite60.0ms

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-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
59.0ms
(* (+ d2 (+ 3 d3)) d1)

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (+ d2 (+ 3 d3)) d1)

simplify2.4s

Counts
28 → 28
Iterations
IterNodes
done5000
33343
2520
1134
050

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3) (* d1 d2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
5×fma-def
4×sum-log distribute-lft-out
3×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
1×associate-+l+
Counts
2 → 37
Calls
2 calls:
36.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
8.0ms
(+ (* d1 3) (* d1 d2))

series93.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
46.0ms
(+ (* d1 3) (* d1 d2))

simplify3.2s

Counts
43 → 43
Iterations
IterNodes
done5000
34138
2839
1210
063

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3 d3) (+ 3 d3))
2.4b
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
8.8b
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
14.9b
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

rewrite140.0ms

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-- insert-posit16 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-*r/ associate-/r/ *-commutative associate--r+ 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 → 121
Calls
4 calls:
44.0ms
(* (+ 3 d3) (+ 3 d3))
18.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
45.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
31.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (+ 3 d3) (+ 3 d3))
50.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
72.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
98.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

simplify2.5s

Counts
133 → 133
Iterations
IterNodes
done5000
22149
1591
0192

prune654.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))
2.0b
(fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))
4.3b
(* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2))))
28.1b
(/ (* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
25×flip3-+ flip-+
16×frac-sub
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×frac-times *-un-lft-identity add-cube-cbrt
6×pow1 associate-*l/ add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u sub-div
3×distribute-rgt-in associate-/r* distribute-lft-in times-frac associate-*r* associate-*l* fma-udef
2×cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ cbrt-unprod associate--r+
1×clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- fma-neg diff-log prod-diff pow-prod-down *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
16.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))
0.0ms
(fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))
7.0ms
(* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2))))
88.0ms
(/ (* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))
77.0ms
(fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))
149.0ms
(* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2))))
236.0ms
(/ (* d1 (fma (+ d3 3) (* (+ d3 3) (+ d3 3)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 3 d3) (+ 3 d3)) (* d2 (+ 3 d3)))))

simplify2.2s

Counts
114 → 114
Iterations
IterNodes
done5000
23594
1814
0246

prune706.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
09

end0.0ms

sample967.0ms

Algorithm
intervals
Results
588.0ms9610×body80valid
81.0ms171×body320valid
34.0ms201×body640valid
25.0ms101×body1280valid
7.0ms81×body160valid