Details

Time bar (total: 12.5s)

sample54.0ms

Algorithm
intervals
Results
30.0ms306×body80valid
2.0msbody640valid
2.0msbody320valid
2.0msbody1280valid
0.0msbody160valid

simplify95.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*l*
pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
associate-*l/
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:
Slowest
70.0ms
(* (+ (+ 3 d3) d2) d1)

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* (+ (+ 3 d3) d2) d1)

simplify1.3s

Counts
28 → 28

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(* (cbrt d1) (cbrt d1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
7.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
304.0ms
(* (cbrt d1) (cbrt d1))
296.0ms
(cbrt d1)
272.0ms
(cbrt d1)
206.0ms
(cbrt d1)

simplify1.3s

Counts
97 → 97

prune925.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

16.1b
(/ (* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1) (- (+ 3 d3) d2))
7.6b
(* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1)
0.7b
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))
0.0b
(* (+ 3 d3) (+ 3 d3))

rewrite189.0ms

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
associate-*l* distribute-lft-out
associate-*r*
associate-/r* flip3-+ times-frac swap-sqr associate-*l/ flip-+ add-log-exp
expm1-log1p-u frac-times flip3-- insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate--l+ associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
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:
Slowest
95.0ms
(* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1)
51.0ms
(/ (* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1) (- (+ 3 d3) d2))
25.0ms
(* (+ 3 d3) (+ 3 d3))
14.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))

series263.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
103.0ms
(* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1)
84.0ms
(/ (* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1) (- (+ 3 d3) d2))
50.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))
24.0ms
(* (+ 3 d3) (+ 3 d3))

simplify803.0ms

Counts
133 → 133

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

29.2b
(/ (* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))) (+ (* (+ 3 d3) (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) d2))))
4.0b
(* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3)))))
1.8b
(fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))
0.6b
(- (* d2 d2) (* (+ 3 d3) d2))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-/r/
16×frac-add
13×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
flip3-- flip--
frac-times *-un-lft-identity add-cube-cbrt
pow1 add-log-exp
expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u
associate-/r* times-frac associate-*r* associate-*l* fma-udef
cbrt-undiv div-exp prod-exp cbrt-unprod
distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in distribute-rgt-out-- fma-neg diff-log prod-diff pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
Slowest
39.0ms
(/ (* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))) (+ (* (+ 3 d3) (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) d2))))
16.0ms
(* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3)))))
10.0ms
(- (* d2 d2) (* (+ 3 d3) d2))
0.0ms
(fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))

series466.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
221.0ms
(/ (* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))) (+ (* (+ 3 d3) (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) d2))))
160.0ms
(* d1 (fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3)))))
51.0ms
(fma d2 (* d2 d2) (* (+ d3 3) (* (+ d3 3) (+ d3 3))))
33.0ms
(- (* d2 d2) (* (+ 3 d3) d2))

simplify1.6s

Counts
106 → 106

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
736.0ms9619×body80valid
55.0ms197×body640valid
50.0ms82×body1280valid
34.0ms147×body320valid
10.0ms76×body160valid