Details

Time bar (total: 14.8s)

sample170.0ms

Algorithm
intervals
Results
55.0ms162×body160valid
35.0ms275×body80nan
30.0ms531×pre80true
12.0ms28×body320valid
9.0ms66×body80valid

simplify106.0ms

Counts
1 → 1

prune346.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize53.0ms

Local error

Found 4 expressions with local error:

38.7b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
0.2b
(- (* b b) (* (* 4 a) c))
0.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite146.0ms

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*
19×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×fma-neg
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
Slowest
69.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
56.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(- (* b b) (* (* 4 a) c))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
124.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
118.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
51.0ms
(- (* b b) (* (* 4 a) c))

simplify697.0ms

Counts
199 → 199

prune2.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.9b

localize7.0ms

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

prune98.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.9b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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
36.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
22.0ms
(/ (* a c) b)

series56.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(/ (* a c) b)
22.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify541.0ms

Counts
85 → 85

prune971.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(expm1 (log1p (/ (* a c) b)))
0.3b
(/ (* a c) b)
0.3b
(/ (/ (* -2 (expm1 (log1p (/ (* a c) b)))) 2) a)
0.1b
(log1p (/ (* a c) b))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×expm1-log1p-u
4×pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg prod-exp cbrt-unprod
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef associate-/l/
Counts
4 → 99
Calls
4 calls:
Slowest
25.0ms
(/ (* a c) b)
20.0ms
(/ (/ (* -2 (expm1 (log1p (/ (* a c) b)))) 2) a)
1.0ms
(log1p (/ (* a c) b))
0.0ms
(expm1 (log1p (/ (* a c) b)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(expm1 (log1p (/ (* a c) b)))
139.0ms
(/ (/ (* -2 (expm1 (log1p (/ (* a c) b)))) 2) a)
98.0ms
(log1p (/ (* a c) b))
36.0ms
(/ (* a c) b)

simplify581.0ms

Counts
111 → 111

prune1.4s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.9b

regimes716.0ms

Accuracy

0% (6.9b remaining)

Error of 11.8b against oracle of 4.9b and baseline of 11.8b

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.5s4839×body160valid
1.4s16251×pre80true
1.3s8251×body80nan
535.0ms1394×body320valid
274.0ms1767×body80valid