Details

Time bar (total: 14.7s)

sample135.0ms

Algorithm
intervals
Results
25.0ms153×body160valid
21.0ms278×body80nan
21.0ms40×body320valid
20.0ms534×pre80true
5.0ms63×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite173.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
18.0ms
(* (* 3.0 a) c)
93.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
51.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
192.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
148.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune238.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite262.0ms

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:
18.0ms
(* (* 3.0 a) c)
16.0ms
(* 3.0 (* a c))
97.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
117.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
26.0ms
(* 3.0 (* a c))
240.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
240.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.6s

Counts
169 → 169
Iterations

Useful iterations: 2 (620.0ms)

IterNodesCost
02434718
16034240
225723862
done50013862

prune598.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
12×prod-exp cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
7×associate-*r*
5×associate-*l*
4×associate-*r/ associate-*l/ add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv
Counts
4 → 83
Calls
4 calls:
18.0ms
(* (* 3.0 a) c)
126.0ms
(* (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0)
23.0ms
(* 3.0 (* a c))
198.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0))

series440.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* 3.0 a) c)
156.0ms
(* (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0)
35.0ms
(* 3.0 (* a c))
213.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) 3.0))

simplify1.6s

Counts
95 → 95
Iterations

Useful iterations: 2 (553.0ms)

IterNodesCost
01661812
14611680
225031328
done50001328

prune333.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
12×prod-exp cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
7×associate-*l*
5×associate-*r*
4×associate-*r/ associate-*l/ add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv
Counts
4 → 83
Calls
4 calls:
24.0ms
(* (* 3.0 a) c)
119.0ms
(* a (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0))
17.0ms
(* 3.0 (* a c))
130.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 3.0 a) c)
145.0ms
(* a (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0))
34.0ms
(* 3.0 (* a c))
226.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0)))

simplify1.5s

Counts
95 → 95
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
01661795
14481665
222691313
done50001313

prune352.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01825
12523
done2523

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.0s16059×pre80true
771.0ms4875×body160valid
458.0ms8059×body80nan
328.0ms1337×body320valid
134.0ms1788×body80valid