Details

Time bar (total: 15.4s)

sample123.0ms

Algorithm
intervals
Results
33.0ms270×body80nan
24.0ms158×body160valid
18.0ms526×pre80true
8.0ms98×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
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×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
18.0ms
(- (* b b) (* (* 3.0 a) c))
40.0ms
(* (* 3.0 a) c)
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* b b) (* (* 3.0 a) c))
38.0ms
(* (* 3.0 a) c)
147.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
145.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
33.0ms
(* 3.0 (* a c))
88.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
162.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series599.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 a) c)
22.0ms
(* 3.0 (* a c))
304.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
237.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.7s

Counts
169 → 169
Iterations

Useful iterations: 2 (760.0ms)

IterNodesCost
02434718
16034240
225933862
done50023862

prune546.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×pow1
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down add-log-exp
4×associate-*r/ associate-*r* associate-*l*
3×cbrt-undiv times-frac div-exp associate-/l*
2×flip3-- associate-/r/ *-commutative flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ diff-log clear-num associate-/r* flip-+ div-inv
Counts
4 → 75
Calls
4 calls:
18.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(* (* 3.0 a) c)
33.0ms
(* 3.0 (* a c))
161.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
35.0ms
(* 3.0 (* a c))
241.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify2.2s

Counts
87 → 87
Iterations

Useful iterations: 2 (555.0ms)

IterNodesCost
01721525
14741355
226061123
done50001123

prune345.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ 0 (* (* 3.0 a) c)) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×pow1
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r* pow-prod-down add-log-exp
4×associate-*r/
3×cbrt-undiv times-frac div-exp associate-/l*
2×flip3-- associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ diff-log clear-num associate-/r* flip-+ div-inv
Counts
4 → 75
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
26.0ms
(* (* 3.0 a) c)
140.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)
22.0ms
(* (* 3.0 a) c)
218.0ms
(/ (+ 0 (* (* 3.0 a) c)) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify1.6s

Counts
87 → 87
Iterations

Useful iterations: 2 (524.0ms)

IterNodesCost
01521528
14191356
222991124
done50011124

prune359.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01825
12523
done2523

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.2s4471×body160valid
634.0ms16164×pre80true
523.0ms8164×body80nan
347.0ms3529×body80valid