Details

Time bar (total: 15.7s)

sample128.0ms

Algorithm
intervals
Results
41.0ms143×body160valid
20.0ms252×body80nan
19.0ms508×pre80true
9.0ms113×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite186.0ms

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:
17.0ms
(* (* 3.0 a) c)
13.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
44.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* 3.0 a) c)
60.0ms
(- (* b b) (* (* 3.0 a) c))
148.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
109.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01541437
14101361
215411139
done50001125

prune283.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×associate-*l* pow-prod-down associate-/l/
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
33.0ms
(* c (* 3.0 a))
93.0ms
(/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(- (* b b) (* (* 3.0 a) c))
142.0ms
(/ (/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series608.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* c (* 3.0 a))
252.0ms
(/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
86.0ms
(- (* b b) (* (* 3.0 a) c))
250.0ms
(/ (/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts
163 → 163
Iterations

Useful iterations: 2 (773.0ms)

IterNodesCost
02454781
16144261
226673925
done50003925

prune676.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ 1 (* 3.0 a))
0.4b
(* (/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
62×add-exp-log
59×*-un-lft-identity
49×times-frac
32×add-cbrt-cube
31×add-cube-cbrt
27×associate-*l*
23×prod-exp
20×div-exp
14×distribute-lft-out-- difference-of-squares
10×cbrt-undiv
9×pow1 cbrt-unprod
8×associate-/r*
7×distribute-rgt-neg-in associate-*r* sqrt-prod
6×rec-exp 1-exp associate-/l* add-log-exp
4×associate-/r/ div-inv
3×flip3-- flip--
2×pow-flip frac-2neg pow-prod-down clear-num associate-/l/ unswap-sqr
1×frac-times sub-neg flip3-+ diff-log associate-*r/ associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 156
Calls
4 calls:
100.0ms
(/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
8.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ 1 (* 3.0 a))
206.0ms
(* (/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
71.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(/ 1 (* 3.0 a))
276.0ms
(* (/ (+ 0 (* c (* 3.0 a))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

simplify2.0s

Counts
168 → 168
Iterations

Useful iterations: 2 (718.0ms)

IterNodesCost
02444424
16523839
227933365
done50003365

prune622.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(* c (* 3.0 a))
0.3b
(/ (* c (* 3.0 a)) (* 3.0 a))
0.3b
(- (* b b) (* (* 3.0 a) c))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
14×pow1
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp pow-prod-down add-log-exp
4×associate-*r* associate-*l*
2×*-commutative
1×sub-neg flip3-- frac-2neg times-frac diff-log clear-num associate-/r* flip-- div-inv associate-/l*
Counts
4 → 73
Calls
4 calls:
35.0ms
(* (* 3.0 a) c)
41.0ms
(* c (* 3.0 a))
45.0ms
(/ (* c (* 3.0 a)) (* 3.0 a))
16.0ms
(- (* b b) (* (* 3.0 a) c))

series155.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
21.0ms
(* c (* 3.0 a))
22.0ms
(/ (* c (* 3.0 a)) (* 3.0 a))
85.0ms
(- (* b b) (* (* 3.0 a) c))

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: 2 (488.0ms)

IterNodesCost
0110935
1311763
21983515
done5000515

prune261.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

IterNodesCost
02749
13447
done3445

end0.0ms

sample3.4s

Algorithm
intervals
Results
979.0ms16601×pre80true
718.0ms8601×body80nan
655.0ms4482×body160valid
332.0ms3518×body80valid