Details

Time bar (total: 12.9s)

sample149.0ms

Algorithm
intervals
Results
35.0ms162×body160valid
34.0ms316×body80nan
31.0ms572×pre80true
14.0ms42×body320valid
6.0ms52×body80valid

simplify147.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize29.0ms

Local error

Found 4 expressions with local error:

40.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
90.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series374.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
134.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
61.0ms
(- (* b b) (* (* 3 a) c))
33.0ms
(* (* 3 a) c)

simplify2.4s

Counts
91 → 91

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune67.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))

rewrite65.0ms

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×associate-*l* insert-posit16 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 → 81
Calls
3 calls:
Slowest
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
17.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
37.0ms
(* -3/2 (/ (* a c) b))
32.0ms
(/ (* a c) b)
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify421.0ms

Counts
90 → 90

prune717.0ms

Pruning

29 alts after pruning (27 fresh and 2 done)

Merged error: 5.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (* a (/ c b))) (* 3 a))
0.3b
(* -3/2 (* a (/ c b)))
0.2b
(* a (/ c b))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
11×times-frac
10×pow1
6×associate-*l*
5×associate-*r/
4×pow-prod-down
3×insert-posit16 add-log-exp
2×*-commutative div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
3 → 86
Calls
3 calls:
Slowest
36.0ms
(* -3/2 (* a (/ c b)))
28.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))
11.0ms
(* a (/ c b))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(* -3/2 (* a (/ c b)))
31.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))
25.0ms
(* a (/ c b))

simplify618.0ms

Counts
95 → 95

prune702.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.1b

regimes734.0ms

Accuracy

9.9% (6.2b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 11.8b

bsearch59.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.3s16206×pre80true
1.2s4837×body160valid
1.1s8206×body80nan
491.0ms1368×body320valid
205.0ms1795×body80valid