Details

Time bar (total: 15.5s)

sample153.0ms

Algorithm
intervals
Results
36.0ms139×body160valid
35.0ms531×pre80true
33.0ms275×body80nan
18.0ms48×body320valid
9.0ms69×body80valid

simplify517.0ms

Counts
1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.4b

localize42.0ms

Local error

Found 4 expressions with local error:

36.8b
(- (sqrt (fma b b (* c (* -4 a)))) b)
0.1b
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
0.1b
(sqrt (fma b b (* c (* -4 a))))
0.0b
(fma b b (* c (* -4 a)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
18×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
6×fma-neg add-log-exp
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* div-exp
2×div-sub
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 flip3-- pow1/2 diff-log fma-udef flip-- associate-/l/
Counts
4 → 179
Calls
4 calls:
Slowest
33.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
15.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
3.0ms
(sqrt (fma b b (* c (* -4 a))))
0.0ms
(fma b b (* c (* -4 a)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
158.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
150.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
110.0ms
(sqrt (fma b b (* c (* -4 a))))
57.0ms
(fma b b (* c (* -4 a)))

simplify994.0ms

Counts
191 → 191

prune2.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.4b

localize5.0ms

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

prune102.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2 (/ (* a c) b)) 2) a)
0.2b
(/ (* a c) b)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 79
Calls
2 calls:
Slowest
35.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
17.0ms
(/ (* a c) b)

series50.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
28.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
21.0ms
(/ (* a c) b)

simplify534.0ms

Counts
85 → 85

prune690.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.3b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
158×times-frac
86×add-sqr-sqrt
74×*-un-lft-identity add-cube-cbrt
58×add-cbrt-cube add-exp-log
36×associate-/r/
33×distribute-lft-neg-in distribute-rgt-neg-in
28×cbrt-undiv div-exp
15×div-inv
13×frac-times associate-*r* associate-*l* associate-*l/ associate-*r/ associate-/l*
12×prod-exp cbrt-unprod
11×associate-/r* neg-mul-1
5×pow1
4×unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 232
Calls
3 calls:
Slowest
15.0ms
(/ (/ 2 (* (/ 2 a) (/ b c))) (- a))
13.0ms
(* (/ 2 a) (/ b c))
12.0ms
(/ 2 (* (/ 2 a) (/ b c)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
35.0ms
(* (/ 2 a) (/ b c))
35.0ms
(/ 2 (* (/ 2 a) (/ b c)))
26.0ms
(/ (/ 2 (* (/ 2 a) (/ b c))) (- a))

simplify1.3s

Counts
241 → 241

prune2.0s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.3b

regimes659.0ms

Accuracy

11.5% (6.3b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 12.0b

bsearch11.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.5s16491×pre80true
1.5s4871×body160valid
1.1s8491×body80nan
546.0ms1322×body320valid
261.0ms1807×body80valid