Details

Time bar (total: 17.9s)

sample95.0ms

Algorithm
intervals
Results
32.0ms512×pre80true
15.0ms116×body320valid
11.0ms256×body80nan
8.0ms97×body160valid
3.0ms16×body640valid
1.0ms27×body80valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
26.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-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* sub-neg frac-2neg flip3-- diff-log div-sub associate-*l* neg-log *-commutative div-inv flip--
Counts
4 → 73
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
60.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
13.0ms
(* (* 3.0 a) c)
23.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (* b b) (* (* 3.0 a) c))
139.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0ms
(* (* 3.0 a) c)
110.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done5000
22584
1437
0154

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
0.3b
(* c (* a 3.0))
0.3b
(* c (* a 3.0))
0.4b
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-cbrt-cube add-exp-log
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×associate-/r* prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×clear-num frac-2neg associate-*r* *-commutative associate-+l-
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
168.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
24.0ms
(* c (* a 3.0))
13.0ms
(* c (* a 3.0))
127.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series509.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
37.0ms
(* c (* a 3.0))
34.0ms
(* c (* a 3.0))
173.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.7s

Counts
171 → 171
Iterations
IterNodes
done5002
23385
1653
0246

prune826.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt c) (cbrt c))
0.6b
(cbrt c)
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt c) (cbrt c))
1.0ms
(cbrt c)
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series1.2s

Counts
4 → 12
Calls
4 calls:
339.0ms
(* (cbrt c) (cbrt c))
272.0ms
(cbrt c)
243.0ms
(cbrt c)
319.0ms
(cbrt c)

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune537.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* c a) 3.0)
0.3b
(* c (* a 3.0))
0.3b
(* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))))
0.4b
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0))))))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
19×pow1
13×add-sqr-sqrt *-un-lft-identity
12×prod-exp cbrt-unprod
11×associate-*r*
9×pow-prod-down add-cube-cbrt
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-/r/ flip-- distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num associate-/r* distribute-rgt-neg-in frac-2neg flip3-+ div-sub associate-+l- sqrt-prod flip-+ div-inv
Counts
4 → 92
Calls
4 calls:
13.0ms
(* (* c a) 3.0)
15.0ms
(* c (* a 3.0))
75.0ms
(* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))))
147.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0))))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* c a) 3.0)
21.0ms
(* c (* a 3.0))
163.0ms
(* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))))
173.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (* (* a 3.0) (- (- b) (sqrt (- (* b b) (* (* c a) 3.0))))))

simplify2.9s

Counts
104 → 104
Iterations
IterNodes
done5001
24378
1560
0182

prune556.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample4.3s

Algorithm
intervals
Results
961.0ms3033×body160valid
953.0ms3569×body320valid
741.0ms8060×body80nan
706.0ms16060×pre80true
141.0ms477×body640valid
65.0ms921×body80valid