Details

Time bar (total: 7.8s)

sample35.0ms

Algorithm
intervals
Results
23.0ms307×body80valid

simplify254.0ms

Counts
1 → 1
Iterations
IterNodes
done491
7491
6483
5393
4228
3114
239
119
011

prune7.0ms

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
(* (+ (+ 37 d3) d2) d1)

rewrite73.0ms

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/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
72.0ms
(* (+ (+ 37 d3) d2) d1)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (+ (+ 37 d3) d2) d1)

simplify1.1s

Counts
26 → 26
Iterations
IterNodes
done2004
32004
2496
1131
049

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 d2) (* (+ d3 5) d1))
0.0b
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
associate-+l+
Counts
2 → 26
Calls
2 calls:
16.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
53.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

series88.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
40.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

simplify922.0ms

Counts
32 → 32
Iterations
IterNodes
done2008
32008
2967
1198
063

prune116.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1)))) (* d1 32))
0.1b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.1b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.2b
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
pow-prod-up
frac-times insert-posit16 unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*l/ associate-*r/
pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
38.0ms
(+ (* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1)))) (* d1 32))
12.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
11.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
41.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1)))) (* d1 32))
89.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
100.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
45.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))

simplify882.0ms

Counts
114 → 114
Iterations
IterNodes
done2001
32001
21385
1356
0137

prune324.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* d2 d2) (* (+ 37 d3) d2))
3.3b
(+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))
6.1b
(* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2)))
28.2b
(/ (* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))) (+ (* (+ 37 d3) (+ 37 d3)) (- (* d2 d2) (* (+ 37 d3) d2))))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-/r/
16×flip3-+ frac-add flip-+
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
flip3-- flip--
frac-times *-un-lft-identity associate-*r/ add-cube-cbrt add-log-exp
pow1
associate-*r* pow3 associate-*l/ insert-posit16
associate-/r* times-frac associate-*l*
distribute-rgt-in cbrt-undiv associate-+l+ distribute-lft-in div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
+-commutative clear-num sum-log sub-neg frac-2neg distribute-rgt-out-- diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 95
Calls
4 calls:
7.0ms
(- (* d2 d2) (* (+ 37 d3) d2))
44.0ms
(+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))
157.0ms
(* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2)))
96.0ms
(/ (* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))) (+ (* (+ 37 d3) (+ 37 d3)) (- (* d2 d2) (* (+ 37 d3) d2))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* d2 d2) (* (+ 37 d3) d2))
66.0ms
(+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))
148.0ms
(* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2)))
210.0ms
(/ (* d1 (+ (* (* (+ d3 37) (+ d3 37)) (+ d3 37)) (* (* d2 d2) d2))) (+ (* (+ 37 d3) (+ 37 d3)) (- (* d2 d2) (* (+ 37 d3) d2))))

simplify872.0ms

Counts
107 → 107
Iterations
IterNodes
done2008
22008
1905
0253

prune457.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
773.0ms9959×body80valid
2.0ms10×body640valid
2.0msbody320valid
1.0msbody1280valid
1.0msbody160valid