Details

Time bar (total: 11.6s)

sample121.0ms

Algorithm
intervals
Results
38.0ms119×body320valid
16.0ms469×pre80true
14.0ms98×body160valid
14.0ms213×body80nan
4.0ms11×body640valid
2.0ms28×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
28.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
24.0ms
(* (* 3.0 a) c)
97.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series356.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3.0 a) c))
140.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
22.0ms
(* (* 3.0 a) c)
112.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts
121 → 121
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02012338
14952065
216751747
done50001676

prune431.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune40.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
32.0ms
(* -1.5 (/ (* a c) b))
16.0ms
(/ (* a c) b)
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series96.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* -1.5 (/ (* a c) b))
27.0ms
(/ (* a c) b)
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
01291138
13531097
21754813
done5000813

prune295.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(expm1 (log1p (/ (* a c) b)))
0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.3b
(/ (* a c) b)
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(expm1 (log1p (/ (* a c) b)))
15.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
20.0ms
(/ (* a c) b)
25.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series482.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(expm1 (log1p (/ (* a c) b)))
164.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
22.0ms
(/ (* a c) b)
141.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01541143
1369967
21576783
done5000770

prune275.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

regimes425.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.3s

Algorithm
intervals
Results
885.0ms2953×body160valid
815.0ms3651×body320valid
799.0ms8038×body80nan
651.0ms16038×pre80true
179.0ms487×body640valid
132.0ms909×body80valid