Details

Time bar (total: 38.0s)

sample116.0ms

Algorithm
intervals
Results
37.0ms529×pre80true
20.0ms153×body160valid
17.0ms273×body80nan
9.0ms48×body320valid
4.0ms55×body80valid

simplify116.0ms

Counts
1 → 1
Iterations
IterNodes
done102
7102
6101
599
491
375
240
122
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
1×+-commutative clear-num associate-/r* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(* (* 3.0 a) c)
95.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
139.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
131.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5000
21585
1462
0167

prune734.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune66.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 84
Calls
3 calls:
10.0ms
(/ (* a c) b)
23.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series93.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (* a c) b)
37.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5042
22220
1386
0129

prune621.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a))
0.4b
(/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a))))
0.5b
(* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5))
0.6b
(cbrt (* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a)))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
5975×add-cbrt-cube add-exp-log
3634×prod-exp cbrt-unprod
1771×cbrt-undiv div-exp
45×pow1
18×pow-prod-down
11×add-sqr-sqrt
8×associate-*r* associate-*l/
7×*-un-lft-identity add-cube-cbrt
6×times-frac associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×frac-times cbrt-div associate-*r/ div-inv
2×pow-plus *-commutative unswap-sqr
1×cbrt-prod pow2 clear-num associate-/r* frac-2neg pow1/3 swap-sqr associate-/l* associate-/l/
Counts
4 → 1221
Calls
4 calls:
572.0ms
(* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a))
95.0ms
(/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a))))
132.0ms
(* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5))
568.0ms
(cbrt (* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a)))

series361.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a))
54.0ms
(/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a))))
127.0ms
(* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5))
97.0ms
(cbrt (* (/ (* (/ (* c a) b) -1.5) (* (* 3.0 3.0) (* 3.0 (* a a)))) (/ (* (* (/ (* c a) b) -1.5) (* (/ (* c a) b) -1.5)) a)))

simplify20.8s

Counts
1233 → 1233
Iterations
IterNodes
done5016
14108
01354

prune4.8s

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 5.0b

regimes1.1s

Accuracy

24.1% (5.0b remaining)

Error of 10.2b against oracle of 5.1b and baseline of 11.8b

bsearch4.0ms

simplify7.0ms

Iterations
IterNodes
done38
138
029

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s4795×body160valid
580.0ms8240×body80nan
575.0ms16240×pre80true
255.0ms1474×body320valid
199.0ms1731×body80valid